It is a kind of that there are the designs of multi-agent system event trigger controller when DoS attack
Method
Technical field
The present invention relates to network control system technical field, the average residence time method relied on using mode, for
Multi-agent system with leader the case where there are Denial of Service attack (Denial-of-Service, DoS), determine one
The method for causing sexual behavior part trigger controller.
Background technique
Multi-agent system is one important research direction of network control system, and leader-follower's system is more
Unified important subject of smart system has extensive practical application value, such as how unmanned formation control, collection team control
System, intelligent vehicle formation control etc..
Since the ability of intelligent body data processing is limited, if data volume is excessive, processing speed will appear delay or even make
At network congestion, therefore the calculating for taking method appropriate to reduce data volume has actual meaning.Event triggering control is solution
Certainly the problem provides good thinking, so that data are only just transmitted when meeting certain trigger condition, are calculated, it can be significantly
Reduction data transmission, storage and calculating.However, current most of leaders-follower's multi-agent system, does not account for
Therefore the case where there are DoS network attacks between leader and follower studies the situation with very strong realistic meaning.
The invention proposes a kind of average residence time methods relied on using mode, and it is more to solve leader-follower
There are the design problems of consistency event trigger controller when DoS network attack for multiagent system.
Summary of the invention
Present invention aims at a kind of average residence time method relied on based on mode is proposed, for multi-agent system
The design of consistency event trigger controller, solves between former leader and follower that there are cannot achieve one when DoS attack
The problem of cause property control.Technical solution of the present invention is implemented as follows:
1) leader-follower's multi-Agent System Model and design trigger conditions are established;
2) DoS attack model and switching system model are established;
3) event trigger controller and corresponding switching condition are designed.
The step one are as follows: consideration leader is high order system, and is not influenced dynamically by follower, and model isThe model of i-th of follower isTherefore, multi-agent system
The consistency control protocol of i follower is designed as
Corresponding trigger conditions are designed asWherein
The step two are as follows: assuming that DoS attack meets: (1)(2)When in the presence of attack, communicating interrupt between leader and follower communicates topological structure
Variation, system becomes unstable from stabilization at this time, thus described using switching system there are the leader-when DoS attack with
With person's multi-agent system;System when attack corresponds to the unstable stator system of switching system, not under fire when system it is corresponding
Stablize subsystem;Also, switching system model can be expressed as follows:
The step three are as follows: in step 2, feedback oscillator be it is unknown, adopt and be designed in the following method;It gives
Determine parameter alpha > 0, β > 0, μ1The < of > 1 and 0 μ2< 1, if there is matrix X1> 0, X2> 0 and Y1, Y2 make
X1≤μ2X2, X2≤μ1X1
Wherein,P=1,2;So, controller gain can be designed asP=1,2;If leader-follower's multiple agent consistency is met, the switching signal of switching system
It also needs to meet
This method is suitable for controlling there are UAV Formation Flight extensive when network attack or intelligent vehicle formation control.
Beneficial effects of the present invention:
The present invention designs a kind of consistency event trigger controller, and there are DoS for the person of acting as the leader-follower multi-agent system
When attack, which can guarantee that multi-agent system still can guarantee consistency.By the multiple agent by DoS attack
System is described using switching system, and the average residence time method relied on using mode is given and meets system conformance
Switching condition, and guarantee trigger conditions there is no Zeno phenomenon.Due to the design of event trigger controller, so that being
The data volume of system processing can greatly be reduced, and saved and calculated and transmit energy.The present invention is suitable for there are big when network attack
The control of scale UAV Formation Flight or intelligent vehicle formation control, have great practical application value.
Detailed description of the invention
In order to facilitate the understanding of those skilled in the art, the present invention will be further described below with reference to the drawings.
Fig. 1 is the distributed event triggering transmission policy of i-th of follower.
Specific embodiment
For implementer's case of the invention is more clearly understood, specific embodiment is given below: of the invention
The distributed event triggering transmission policy of i-th of follower is as shown in Figure 1.
1) leader-follower's multi-Agent System Model and design trigger conditions are established
Assuming that leader meetsThe kinetics equation of i-th of follower is
Wherein,N is the number of follower.The purpose of the present invention is there are when DoS attack, still
It can be realized lim supt→∞| | z (t) | |≤δ, z (t)=col { z1(t), z2(t) ... zN(t) }, zi(t)=xi(t)-x0
(t)。
For follower i, following measurement error is considered:
Wherein,For k-th of event triggering moment of follower i.DefinitionIt selects as follows
Consistency control protocol
Wherein, matrix K is the feedback oscillator for needing to design.
The event triggering moment of follower iIt can adopt and determine in the following method:
It should be noted that only existingCurrent state information is sent to its neighbour by moment, i-th of follower, and
Control data are updated, then measurement error is re-set as zero.In addition, the trigger conditions of design must assure that removal
Zeno phenomenon, otherwise system is unable to operate normally, that is, needs to meet
2) DoS attack model and switching system model are established
Assuming that the DoS attack moment isDefine Rn=[rn, rn+τn), indicate n-th of period of DoS attack.τn
Lasting actual interval is attacked for n-th, and meets τn< rn+1-rnAnd τmax≥τn≥τmin> 0.Next definitionWithWhereinWithPoint
Not Biao Shi communicating interrupt and connection time interval.Therefore, the control protocol of follower i can be expressed as
Wherein,
Assuming that DoS attack meets following frequency constraint and duration constraints:
Wherein, 0≤T1≤T2, Nσ2(T1, T2) indicate in time interval [T1, T2) interior DoS attack number.
Define zi(t)=xi(t)-x0(t),With z (t)=col { z1(t), z2(t) ... zN
(t) }, then available
There are when DoS attack it can be seen from formula (8), leader-follower's multi-Agent System Model can be by switching
System describes.The switching system includes two subsystems, a stable subsystem and a unstable stator system.Multiple agent
There is corresponding unstable stator system when attack in system.
3) event trigger controller and corresponding switching condition are designed
Assuming that leader-follower's system communicates topology in no DoS attack there are spanning tree, leader's intelligent body is root
Node.Given parameters α > 0, β > 0, μ1The < of > 1 and 0 μ2< 1, if there is matrix X1> 0, X2> 0 and Y1, Y2 make
X1≤μ2X2, X2≤μ1X1 (11)
Wherein,P=1,2, and DoS attack meets constraint condition (6)
(7),So, leader-follower's multiple agent consistency can obtain
To satisfaction, and z (t) meetsWherein,
Therefore, controller gain can be designed asP=1,2.In addition, the trigger conditions of selection are full
FootWherein,
Present invention disclosed above preferred embodiment is only intended to help to illustrate the present invention.There is no detailed for preferred embodiment
All details are described, are not limited the invention to the specific embodiments described.Obviously, according to the content of this specification,
Many modifications and variations can be done.These embodiments are chosen and specifically described to this specification, is in order to better explain the present invention
Principle and practical application, so that skilled artisan be enable to better understand and utilize the present invention.The present invention is only
It is limited by claims and its full scope and equivalent.