CN106094511A - A kind of robust H of time lag LPV system∞the method for designing of state feedback controller - Google Patents
A kind of robust H of time lag LPV system∞the method for designing of state feedback controller Download PDFInfo
- Publication number
- CN106094511A CN106094511A CN201610438003.2A CN201610438003A CN106094511A CN 106094511 A CN106094511 A CN 106094511A CN 201610438003 A CN201610438003 A CN 201610438003A CN 106094511 A CN106094511 A CN 106094511A
- Authority
- CN
- China
- Prior art keywords
- lpv
- robust
- feedback controller
- time lag
- time
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Classifications
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
- G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
-
- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
- G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
- G05B13/04—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric involving the use of models or simulators
Landscapes
- Engineering & Computer Science (AREA)
- Health & Medical Sciences (AREA)
- Artificial Intelligence (AREA)
- Computer Vision & Pattern Recognition (AREA)
- Evolutionary Computation (AREA)
- Medical Informatics (AREA)
- Software Systems (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Automation & Control Theory (AREA)
- Feedback Control In General (AREA)
Abstract
The invention discloses the robust H of a kind of time lag LPV system∞State feedback controller method for designing, comprises the following steps: from Continuous time delay LPV system, be analyzed its stability, is and then studied the robust gain controller of Continuous time delay LPV system, on this basis, it is desirable to system meets H∞Performance indications, design robust H∞State feedback controller；By to continuous robust H∞On the basis of state feedback controller research, to Discrete-Delay LPV system robust H∞State feedback controller is studied, and research process is identical with Continuous time delay LPV systematic research process；By Continuous time delay LPV system and Discrete-Delay LPV systematic analysis are studied, the systematic research of time lag LPV is extended in Time-varying time-delays neutral type LPV system, to its stability and robust H∞State feedback controller is studied；Use the robust H that method for designing of the present invention designs∞State feedback controller has the advantages that stability is high, conservative is low, is worth being widely popularized.
Description
Technical field
The present invention relates to control technical field, the robust H of a kind of time lag LPV system∞State feedback controller sets
Meter method.
Background technology
LPV control system theory is in the analysis of the gain scheduling control system of 1988 and design one the earliest by Shamma
Putting forward in literary composition, its system model and dynamic characteristic all rely on real-time measurable external parameter, system analysis and combine
Can use during conjunction linear method to solve nonlinear problem, and designing gain scheduling controller, make the gain of controller
Changing with the change of parameter, wherein regulation parameter reflects the nonlinear characteristic of model；In recent years, LPV is systemtheoretical should
Constantly widen with field, be all widely used to industrial process control field etc. from Aeronautics and Astronautics, robot, be non-linear
One of most efficient method in control method.
In engineering reality, time delay is the most universal, communication system, transmission system, Chemical Processing Systems, metallurgy
Procedures system, environmental system, power system etc. are all typical time lag systems, i.e. the behavior of system not only has with present state
Close, also comprise the information in system past；The existence of time lag makes the analysis and synthesis of system become more complicated and difficult, simultaneously
The existence of time lag also tends to be that system is unstable, one of the root of vibration or poor system performance, when ignoring intrinsic in system
Controller or wave filter that stagnant phenomenon is designed there will be instability in actual applications or make hydraulic performance decline, therefore, to time lag
LPV systematic research has important theory significance and is widely applied prospect；Fig. 1 shows time lag LPV system and each field
Between graph of a relation, time lag LPV system contains LPV system, time lag system and robust control system, according to the difference of time lag, time
Whether stagnant LPV system has two kinds of sorting techniques, according to time lag with Parameters variation, time lag LPV system can be divided into two big classes, i.e. join
The relevant time lag LPV system of number and parameter unrelated time lag LPV system；Whether change over according to time lag, can be classified as again solid
The most stagnant LPV system and Time-varying time-delays LPV system；To have parameter be correlated with the LPV continuous system of time lag analyze system time
Stagnant Independent Stability, and devise L2-L2 state feedback controller；Application parameter relies on Lyapwlov-Krasovskii function
Give parameter Quadratic Stability, reduce further the conservative of Delay-Independent Stability condition, so give L2-L2 and
The method for designing of island L2-L ∞ state feedback controller；Improve the stability criterion of system by introducing added martix, and give
New method and the method for designing of H ∞ wave filter of state feedback H∞ control are gone out；And for constant time lag LPV systematic research
Achievement mainly includes that unrelated and On Delay-Dependent Stability condition, affine normal time lag LPV system the time lag of continuous system time lag is unrelated
Output feedback ontrol problem, the unrelated L2-L2 of time lag of affine LPV discrete-time system control and H ∞ filtering problem.
The achievement that time lag LPV system has been achieved with at present is as follows: (1) stability study: in view of Quadratic Stability concept is not
Determine and the analysis and synthesis of system introduces bigger conservative, choose suitable parameter in time lag LPV system and rely on
Lyapunov-Krasovskii function carries out the stability analysis of system, and application state space equation obtains making system stability
Sufficient condition；Parameter relies on the advantage of Lyapunov stable theory and is mainly reflected in three aspects, is first that method is unified, all
Problem the most finally may be converted into parameterized LMI group and solves；Next is that process range is extensive no matter
It is Parameter Perturbation or uncertain system, or time lag system, the steady of system can be analyzed by Lyapunov direct method
Qualitative；Last advantage is to have relatively low conservative；In recent years, the document of some time lag LPV system stability analysis was just
It is to rely on Lyapunov method based on parameter；By the work of Geromel and de Oliveira et al. studies conducted, parameter is relied on
The development of Lyapunov stable theory is significant, introduces additional loose square in the Lyapunov steady-state conditions of standard
Battle array variable eliminates the product term of Lyapunov matrix and sytem matrix, thus obtains parameter and rely on Lyapunov robust stability bar
Part；The thought of the product term of the most many scholar's releasing based on Geromel et al. Lyapunov matrixes and sytem matrix,
Parameter relies on Lyapunov stable theory aspect, has carried out a series of research work.At present, to time lag LPV system stability
Research be divided into two classes, a class to be for having with Parameters variation time lag LPV continuous system, selecting different types of
Lyapunov-Krasovskii function, studies its time lag independent parameter Quadratic Stability；Another kind of is for having constant time lag
LPV discrete-time system, study that its time lag is relevant and Delay-Independent Stability condition, wherein On Delay-Dependent Stability condition institute
The model conversion method used is first order modeling conversion, the system after conversion and primal system non-equivalence, and conservative is bigger；In recent years
Coming, increasing scholar has been placed on the research of time lag relevant stable condition and corresponding controller and wave filter attention
In method for designing.And the relevant stability result of the time lag of time lag LPV system is less and conservative is bigger；2) H ∞ controls to ask
Topic: since nineteen nineties, in control theory and engineering reality, along with system software analysis bags such as Matlab
Extensively application, the particularly introducing of LMI so that the control problem of some complexity becomes simple legibility, with linear
MATRIX INEQUALITIES solves H ∞ control problem so that algorithm more simplifies, and up to now, LMI is own through becoming one
Individual important tool, it becomes many scholars and analyzes the first-selection of system stability；The above method for designing of controller, its step is such as
Under: 1) performance criteria based on the Lyapunov-Krasovskii function derivation system depending on parameter；2) with linear matrix not
Equation method, is converted into convex optimization problem by the design of controller；3) approximation basic function and grid are used, by infinite dimensional
LMI changes into finite dimensional LMI；4) solve with the LMI workbox of Matlab software kit；
The controller using this step to design still cannot meet use demand, haves much room for improvement.
Summary of the invention
It is an object of the invention to provide the robust H of a kind of time lag LPV system∞State feedback controller method for designing, with
The problem solving to propose in above-mentioned background technology.
For achieving the above object, the present invention provides following technical scheme:
A kind of robust H of time lag LPV system∞State feedback controller method for designing, comprises the following steps:
1) study the control problem of Continuous time delay LPV system, the stability of Continuous time delay LPV system is analyzed,
On the basis of the stability condition obtained, design robust H_∞state feedback gaing scheduling control, and by the existence bar of controller
Part is converted into the feasible solution problem of one group of parameterized LMI, and simulation result further demonstrates obtained design side
Method has relatively low conservative；
2) control problem of Discrete-Delay LPV system is studied, on the basis of Continuous time delay LPV systematic study, to discrete
Time lag LPV system carries out stability analysis, by design robust H_∞state feedback controller, makes closed loop system meet performance and refers to
Mark, verifies advanced a theory effectiveness by numerical simulation；
3) H of time delay neutral LPV system is studied∞Control problem, adds system mode derivative in time lag LPV system
Delayed item obtains Time-varying time-delays neutral type LPV system；By system equivalence being converted into the generalized L PV system of a quasi-representative, base
In method and the inequality of Moon of generalized ensemble, draw the system stability condition that conservative is low, when designing on this basis
Stagnant relevant H ∞ state feedback controller.
As the further scheme of the present invention: in described step 1, to time lag LPV system stability under continuous state
It is analyzed, it is considered to there is the LPV system of Continuous time delay:
Wherein x (t) ∈ RnFor state variable, it is assumed that system mode matrix A () and Ah() is the letter of time-varying parameter ρ (t)
Number, vector ρ (t)=[ρ1(t),ρ2(t)…,ρs(t)] meet ρiT () can survey and the rate of change of parameter in real time
H (t) is states with time-delay.
As the present invention further scheme: in described step 2, time lag LPV system is carried out surely under discrete state
Qualitative analysis, it is considered to there is the LPV system of Discrete-Delay as follows:
Wherein x (k) ∈ RnFor state variable, d (k) represents Time-varying time-delays, meets 1≤dm≤d(k)≤dM；Wherein dm and dM
For positive integer, represent minimum and maximum time lag respectively；Additionally,It it is given initial condition sequence
Row.
As the present invention further scheme: utilize the analysis result of step 1-2 to carry out robust H∞STATE FEEDBACK CONTROL
The design of device, setting P (s) is a LPV system, and y is to measure output；Z is to control output；U is to control input；W represents outside
Interference, robust H∞The control problem of state feedback controller seeks to design controller K (s) so that from disturbance input w to
Control the H of the closed loop transfer function of output z∞Norm is less than given performance indications γ.
As the present invention further scheme: by time lag LPV system H∞Control problem extend in described step 3 time
In stagnant neutral type LPV system, it is considered to add the stability after the delayed item of system mode derivative and controller design problem thereof,
The H ∞ state feedback controller that time lag is relevant is designed on the basis of this.
As the present invention further scheme: by Continuous time delay LPV system in step 1 adds hysteresis loop
Joint, the H of given system∞During performance indications, it is ensured that meeting H∞On the premise of performance indications, it is achieved to system mode feedback control
The design of device, utilizes the LMI workbox in MATLAB, completes numerical simulation.
As the present invention further scheme: add delay component by the Discrete-Delay LPV system in step 2,
The H of given system∞During performance indications, the stability of system is analyzed, it is achieved the design to system mode feedback controller,
And then complete numerical simulation.
As the present invention further scheme: by the time delay neutral system that time lag LPV system is extended in step 3
In system, completion status Design of Feedback Controller, carry out numerical simulation.
Compared with prior art, the invention has the beneficial effects as follows: the present invention is directed to the robust H of time lag LPV system∞Control is asked
Topic launches research, first, from Continuous time delay LPV system, is analyzed its stability, and then to Continuous time delay LPV
The robust gain controller of system is studied, on this basis, it is desirable to system meets H∞Performance indications, design robust H∞State
Feedback controller；By to continuous robust H∞On the basis of state feedback controller research, to Discrete-Delay LPV system robust H∞
State feedback controller is studied, and research process is identical with Continuous time delay LPV systematic research process；By to Continuous time delay
LPV system and Discrete-Delay LPV systematic analysis research, be extended to Time-varying time-delays neutral type LPV system by the systematic research of time lag LPV
In system, to its stability and robust H∞State feedback controller is studied；Use the robust H that method for designing of the present invention designs∞
State feedback controller has the advantages that stability is high, conservative is low, is worth being widely popularized.
Accompanying drawing explanation
Fig. 1 is the graph of a relation between time lag LPV system and each field
Fig. 2 is the design flow diagram of the present invention.
Fig. 3 is time lag LPV system H in the present invention∞Control block diagram.
Detailed description of the invention
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete
Describe, it is clear that described embodiment is only a part of embodiment of the present invention rather than whole embodiments wholely.Based on
Embodiment in the present invention, it is every other that those of ordinary skill in the art are obtained under not making creative work premise
Embodiment, broadly falls into the scope of protection of the invention.
Refer to Fig. 2, in the embodiment of the present invention, the robust H of a kind of time lag LPV system∞State feedback controller design side
Method, comprises the following steps:
1) study the control problem of Continuous time delay LPV system, the stability of Continuous time delay LPV system is analyzed,
On the basis of the stability condition obtained, design robust H_∞state feedback gaing scheduling control, and by the existence bar of controller
Part is converted into the feasible solution problem of one group of parameterized LMI, and simulation result further demonstrates obtained design side
Method has relatively low conservative；
2) control problem of Discrete-Delay LPV system is studied, on the basis of Continuous time delay LPV systematic study, to discrete
Time lag LPV system carries out stability analysis, by design robust H_∞state feedback controller, makes closed loop system meet performance and refers to
Mark, verifies advanced a theory effectiveness by numerical simulation；
3) H of time delay neutral LPV system is studied∞Control problem, adds system mode derivative in time lag LPV system
Delayed item obtains Time-varying time-delays neutral type LPV system；By system equivalence being converted into the generalized L PV system of a quasi-representative, base
In method and the inequality of Moon of generalized ensemble, draw the system stability condition that conservative is low, when designing on this basis
Stagnant relevant H ∞ state feedback controller.
In described step 1, time lag LPV system stability under continuous state is analyzed, it is considered to there is consecutive hours
Stagnant LPV system:
Wherein x (t) ∈ RnFor state variable, it is assumed that system mode matrix A () and Ah() is the letter of time-varying parameter ρ (t)
Number, vector ρ (t)=[ρ1(t),ρ2(t)…,ρs(t)] meet ρiT () can survey and the rate of change of parameter in real time
H (t) is states with time-delay.
In described step 2, time lag LPV system is carried out stability analysis under discrete state, it is considered to have discrete as follows
The LPV system of time lag:
Wherein x (k) ∈ RnFor state variable, d (k) represents Time-varying time-delays, meets 1≤dm≤d(k)≤dM；Wherein dm and dM
For positive integer, represent minimum and maximum time lag respectively；Additionally,It it is given initial condition sequence
Row.
As it is shown on figure 3, utilize the analysis result of step 1-2 to carry out robust H∞The design of state feedback controller, sets P
S () is a LPV system, y is to measure output；Z is to control output；U is to control input；W represents external disturbance, robust H∞State
The control problem of feedback controller seeks to design controller K (s) so that from disturbance input w to the closed loop controlling output z
The H of transmission function∞Norm is less than given performance indications γ.
By time lag LPV system H∞Control problem extends in the time delay neutral LPV system in described step 3, it is considered to add
Enter the stability after the delayed item of system mode derivative and controller design problem thereof, the H that design time lag is relevant on this basis
∞ state feedback controller.
By Continuous time delay LPV system in step 1 adds delay component, the H of given system∞During performance indications,
Ensure meeting H∞On the premise of performance indications, it is achieved the design to system mode feedback controller, utilize the LMI in MATLAB
Workbox, completes numerical simulation.
Delay component is added, at the H of given system by the Discrete-Delay LPV system in step 2∞During performance indications, right
The stability of system is analyzed, it is achieved the design to system mode feedback controller, and then completes numerical simulation.
By time lag LPV system being extended in the time delay neutral systems in step 3, completion status feedback controller sets
Meter, carries out numerical simulation.
It is obvious to a person skilled in the art that the invention is not restricted to the details of above-mentioned one exemplary embodiment, Er Qie
In the case of the spirit or essential attributes of the present invention, it is possible to realize the present invention in other specific forms.Therefore, no matter
From the point of view of which point, all should regard embodiment as exemplary, and be nonrestrictive, the scope of the present invention is by appended power
Profit requires rather than described above limits, it is intended that all by fall in the implication of equivalency and scope of claim
Change is included in the present invention.Should not be considered as limiting involved claim by any reference in claim.
Although moreover, it will be appreciated that this specification is been described by according to embodiment, but the most each embodiment only wraps
Containing an independent technical scheme, this narrating mode of description is only that for clarity sake those skilled in the art should
Description can also be formed those skilled in the art through appropriately combined as an entirety, the technical scheme in each embodiment
May be appreciated other embodiments.
Claims (8)
1. the robust H of a time lag LPV system∞State feedback controller method for designing, it is characterised in that comprise the following steps:
1) study the control problem of Continuous time delay LPV system, the stability of Continuous time delay LPV system is analyzed, is obtaining
Stability condition on the basis of, design robust H_∞state feedback gaing scheduling control, and the existence condition of controller turned
Turning to the feasible solution problem of one group of parameterized LMI, simulation result further demonstrates obtained method for designing tool
There is relatively low conservative；
2) control problem of Discrete-Delay LPV system is studied, on the basis of Continuous time delay LPV systematic study, to Discrete-Delay
LPV system carries out stability analysis, by design robust H_∞state feedback controller, makes closed loop system meet performance indications, logical
Cross numerical simulation and verify the effectiveness advanced a theory；
3) H of time delay neutral LPV system is studied∞Control problem, adds the delayed of system mode derivative in time lag LPV system
Item obtains Time-varying time-delays neutral type LPV system；By system equivalence being converted into the generalized L PV system of a quasi-representative, based on extensively
The method of justice system and the inequality of Moon, draw the system stability condition that conservative is low, on this basis design time lag phase
The H ∞ state feedback controller closed.
The robust H of time lag LPV system the most according to claim 1∞State feedback controller method for designing, its feature exists
In, in described step 1, time lag LPV system stability under continuous state is analyzed, it is considered to there is Continuous time delay
LPV system:
Wherein x (t) ∈ RnFor state variable, it is assumed that system mode matrix A () and Ah() is the function of time-varying parameter ρ (t),
Vector ρ (t)=[ρ1(t),ρ2(t)···,ρs(t)] meet ρiT () can survey and the rate of change of parameter in real timeH (t) is states with time-delay.
The robust H of time lag LPV system the most according to claim 1∞State feedback controller method for designing, its feature exists
In, in described step 2, time lag LPV system is carried out stability analysis under discrete state, it is considered to there is Discrete-Delay as follows
LPV system:
Wherein x (k) ∈ RnFor state variable, d (k) represents Time-varying time-delays, meets 1≤dm≤d(k)≤dM；Wherein dm and dM is just
Integer, represents minimum and maximum time lag respectively；Additionally,It it is given initial condition sequence.
The robust H of time lag LPV system the most according to claim 1∞State feedback controller method for designing, its feature exists
In, utilize the analysis result of step 1-2 to carry out robust H∞The design of state feedback controller, setting P (s) is a LPV system,
Y is to measure output；Z is to control output；U is to control input；W represents external disturbance, robust H∞The control of state feedback controller
Problem seeks to design controller K (s) so that from disturbance input w to the H of the closed loop transfer function controlling output z∞Norm
Less than given performance indications γ.
The robust H of time lag LPV system the most according to claim 1∞State feedback controller method for designing, its feature exists
In, by time lag LPV system H∞Control problem extends in the time delay neutral LPV system in described step 3, it is considered to add system
Stability after the delayed item of state derivative and controller design problem thereof, the H ∞ state that design time lag is relevant on this basis
Feedback controller.
The robust H of time lag LPV system the most according to claim 1∞State feedback controller method for designing, its feature exists
In, by Continuous time delay LPV system in step 1 adds delay component, the H of given system∞During performance indications, it is ensured that
Meet H∞On the premise of performance indications, it is achieved the design to system mode feedback controller, utilize the LMI instrument in MATLAB
Case, completes numerical simulation.
The robust H of time lag LPV system the most according to claim 1∞State feedback controller method for designing, its feature exists
In, add delay component, at the H of given system by the Discrete-Delay LPV system in step 2∞During performance indications, to system
Stability is analyzed, it is achieved the design to system mode feedback controller, and then completes numerical simulation.
The robust H of time lag LPV system the most according to claim 1∞State feedback controller method for designing, its feature exists
In, by time lag LPV system is extended in the time delay neutral systems in step 3, completion status Design of Feedback Controller, enters
Row numerical simulation.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610438003.2A CN106094511A (en) | 2016-06-18 | 2016-06-18 | A kind of robust H of time lag LPV system∞the method for designing of state feedback controller |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610438003.2A CN106094511A (en) | 2016-06-18 | 2016-06-18 | A kind of robust H of time lag LPV system∞the method for designing of state feedback controller |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN106094511A true CN106094511A (en) | 2016-11-09 |
Family
ID=57235747
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610438003.2A Pending CN106094511A (en) | 2016-06-18 | 2016-06-18 | A kind of robust H of time lag LPV system∞the method for designing of state feedback controller |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN106094511A (en) |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107153752A (en) * | 2017-06-13 | 2017-09-12 | 哈尔滨工业大学 | A kind of robust identification method of linear variation parameter's time lag system of metric data missing at random |
| CN107272416A (en) * | 2017-07-26 | 2017-10-20 | 江南大学 | One class Linear Parameter-Varying Systems dynamic quantization H ∞ control methods |
| CN108762284A (en) * | 2018-05-17 | 2018-11-06 | 北京航空航天大学 | A kind of spacecraft attitude tracking and controlling method and device based on LPV technologies |
| CN108832665A (en) * | 2018-07-04 | 2018-11-16 | 四川大学 | A kind of probabilistic electric heating integrated system Robust distributed coordination optimization scheduling model of consideration wind-powered electricity generation |
| CN109256189A (en) * | 2018-09-19 | 2019-01-22 | 安徽大学 | The control method and system of lower limb rehabilitation ectoskeleton with model uncertainty |
| CN109992004A (en) * | 2019-05-08 | 2019-07-09 | 哈尔滨理工大学 | A kind of system asynchronous switching state Design of Feedback Controller method of LPV |
| CN112182861A (en) * | 2020-09-17 | 2021-01-05 | 南昌航空大学 | Fine analysis method for parameter space of structural vibration active control system |
Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103618325A (en) * | 2013-12-06 | 2014-03-05 | 武汉大学 | Designing method for wide area damping controller considering electric power system operation mode changes |
-
2016
- 2016-06-18 CN CN201610438003.2A patent/CN106094511A/en active Pending
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103618325A (en) * | 2013-12-06 | 2014-03-05 | 武汉大学 | Designing method for wide area damping controller considering electric power system operation mode changes |
Non-Patent Citations (4)
| Title |
|---|
| JUN-LING WANG 等: "DELAY-DEPENDENT H, CONTROL FOR LPV SYSTEMS WITH MIXED", 《PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MACHINE LAMING AND CYBERNETICS》 * |
| 吴立刚: "一类分布式时滞LPV系统的鲁棒H_滤波", 《控制与决策》 * |
| 段玉波 等: "中立时滞LPV系统基于观测器的控制器设计", 《控制与决策》 * |
| 袁伟: "状态时滞线性参数变化系统控制研究", 《中国博士学位论文全文数据库信息科技辑（月刊）》 * |
Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107153752A (en) * | 2017-06-13 | 2017-09-12 | 哈尔滨工业大学 | A kind of robust identification method of linear variation parameter's time lag system of metric data missing at random |
| CN107272416A (en) * | 2017-07-26 | 2017-10-20 | 江南大学 | One class Linear Parameter-Varying Systems dynamic quantization H ∞ control methods |
| CN108762284A (en) * | 2018-05-17 | 2018-11-06 | 北京航空航天大学 | A kind of spacecraft attitude tracking and controlling method and device based on LPV technologies |
| CN108832665A (en) * | 2018-07-04 | 2018-11-16 | 四川大学 | A kind of probabilistic electric heating integrated system Robust distributed coordination optimization scheduling model of consideration wind-powered electricity generation |
| CN108832665B (en) * | 2018-07-04 | 2021-09-07 | 四川大学 | Electric heating integrated system distributed robust coordination optimization scheduling modeling method considering wind power uncertainty |
| CN109256189A (en) * | 2018-09-19 | 2019-01-22 | 安徽大学 | The control method and system of lower limb rehabilitation ectoskeleton with model uncertainty |
| CN109256189B (en) * | 2018-09-19 | 2022-03-11 | 安徽大学 | Control method and system of lower limb rehabilitation exoskeleton with model uncertainty |
| CN109992004A (en) * | 2019-05-08 | 2019-07-09 | 哈尔滨理工大学 | A kind of system asynchronous switching state Design of Feedback Controller method of LPV |
| CN109992004B (en) * | 2019-05-08 | 2022-04-22 | 哈尔滨理工大学 | Design method of feedback controller for asynchronous switching state of LPV system |
| CN112182861A (en) * | 2020-09-17 | 2021-01-05 | 南昌航空大学 | Fine analysis method for parameter space of structural vibration active control system |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN106094511A (en) | A kind of robust H of time lag LPV system∞the method for designing of state feedback controller | |
| Sun et al. | An energy resources demand–supply system and its dynamical analysis | |
| Hu et al. | Cluster synchronization in directed networks of non-identical systems with noises via random pinning control | |
| Kang et al. | Bang-bang optimal control for multi-stage uncertain systems | |
| CN102870309A (en) | Method and system for facilitating design of a high voltage (HVDC) control system, an HVDC system and a method for optimising an HVDC system | |
| Song et al. | Multi-switching adaptive synchronization of two fractional-order chaotic systems with different structure and different order | |
| Xu et al. | Control strategy for a fractional-order chaotic financial model | |
| Sun et al. | Global asymptotic and finite-gain L2 stabilisation of port-controlled Hamiltonian systems subject to actuator saturation | |
| Huang et al. | Dynamic output feedback H∞ control for linear parameter-varying systems with time-delay | |
| Han et al. | Bursting oscillations in a hydro-turbine governing system with two time scales | |
| CN109933888A (en) | A kind of stochastic system Tracking Control Design method with multiplicative noise and time lag | |
| Rana et al. | Automatic generation control with polar fuzzy controller considering generation rate constraint in deregulated power system | |
| Ashraf-Modarres et al. | A new decentralized sliding mode observer design for interconnected power systems with unknown and time-varying delay | |
| Kuypers et al. | The impact of network structure on the perturbation dynamics of a multi-agent economic model | |
| Cai et al. | Globally exponentially attractive set and synchronization of a novel three-dimensional chaotic finance system | |
| Adjali et al. | Fluctuations in a decentralized agent-resource system | |
| Yang et al. | Graphical design of linear active disturbance rejection controller for uncertain first-order-plus-dead-time plant | |
| Zhao et al. | Chaos and synchronisation of a new fractional order system with only two stable equilibria | |
| CN113434926B (en) | BIM-based method and system for optimizing building implementation | |
| Hamidzadeh et al. | Synchronization of chaotic systems via nonlinear control design based on lyapunov | |
| Abitova et al. | Design of a control system with high robust stability characteristics | |
| Li et al. | Prescribed performance control of the fractional-order chaotic economical system | |
| Wu et al. | A coordinated tracking control of multi-agent systems using data-driven methods | |
| Ma et al. | Distributed event-triggered control of multiagent systems with time-varying topology | |
| Standardi et al. | A reduced Dantzig-Wolfe decomposition for a suboptimal linear MPC |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| WD01 | Invention patent application deemed withdrawn after publication | ||
| WD01 | Invention patent application deemed withdrawn after publication |
Application publication date: 20161109 |