CN107016214B - Finite-state-machine-based parameter dependence model generation method - Google Patents
Finite-state-machine-based parameter dependence model generation method Download PDFInfo
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Abstract
The invention belongs to the technical field of product design, and discloses a finite-state-machine-based parameter dependence model generation method, which comprises the following steps: step one, listing corresponding parameter dependency relationship expressions according to parameters and design constraints of a product system, and adding the corresponding parameter dependency relationship expressions into a parameter dependency relationship set; step two, establishing corresponding finite-state machines and states thereof one by one for each parameter dependency relation expression in the parameter dependency relation set, and setting conversion conditions for the states of the finite-state machines; and step three, connecting each parameter of the product system with the input parameter and the output parameter of the corresponding finite-state machine, and establishing a parameter dependence model of the product system. The method effectively eliminates possible manual errors in the manual modification parameter dependent model, shortens the design period and improves the design efficiency.
Description
Technical Field
The invention belongs to the technical field of product design, and particularly relates to a finite-state-machine-based parameter dependence model generation method.
Background
The design parameters of the product are the final embodiment of various design decisions and the basis for determining whether various design requirements of the product can be met. In the product design process, a large number of constraint dependency relations exist, the dependency relations are finally represented by parameter dependencies, and a parameter dependency model has an important auxiliary effect in the aspects of propagating design changes and supporting multi-field collaborative design.
The existing parameter dependence model only contains static parameter dependence, and the dependence relationship between parameters is fixed and unchangeable. However, design changes may cause parameter dependencies to change, and in order to maintain consistency of the parameter-dependent models, designers need to further manually update the parameter-dependent models, which greatly increases burden of the designers and reduces design efficiency.
Aiming at the defects of the traditional parameter dependence model, a new modeling method is necessary to be introduced so as to adapt to parameter dependence change caused by increasingly frequent design change in a product iterative design mode and provide an auxiliary method for improving design efficiency for designers.
Disclosure of Invention
The invention provides a finite-state-machine-based parameter dependence model generation method, which solves the problems that the traditional parameter dependence model needs to manually update parameters, the burden of designers is increased, the design efficiency is reduced and the like.
The invention can be realized by the following technical scheme:
a method for generating a parameter dependence model based on a finite-state machine comprises the following steps:
step one, listing corresponding parameter dependency relationship expressions according to parameters and design constraints of a product system, and adding the corresponding parameter dependency relationship expressions into a parameter dependency relationship set;
step two, establishing corresponding finite-state machines and states thereof one by one for each parameter dependency relation expression in the parameter dependency relation set, and setting conversion conditions for the states of the finite-state machines;
connecting each parameter of the product system with the input parameter and the output parameter of the corresponding finite-state machine, and establishing a parameter dependence model of the product system;
the second step specifically comprises the following steps:
step I, any parameter dependency relation expression is selected from the parameter dependency relation set, the independent variable of the parameter dependency relation expression is the input parameter of the corresponding finite-state machine, and the dependent variable of the parameter dependency relation expression is the output parameter of the corresponding finite-state machine;
step II, judging whether the parameter dependency relationship expression is a piecewise function, if so, establishing a state of a corresponding finite state machine, and internally setting the parameter dependency relationship expression; if not, creating states with the same number of the segments of the segment function, and setting parameter dependency relation expressions of the corresponding segments in each state;
step III, if the state is only one, the conversion condition is always in an activated state; if the number of the states is more than one, the conversion condition is the corresponding sectional calculation condition of the sectional function of the parameter dependence relational expression;
and IV, repeating the steps one to three until the parameter dependency relationship set is an empty set.
A modeling method of an inverted pendulum system based on a finite-state machine comprises the following steps:
analyzing the inverted pendulum system, and determining parameters of the inverted pendulum system and a function expression for expressing the relationship between the parameters;
step ii, judging whether the function expression is a piecewise function and the number of the segments, and determining the number of the states of the finite state machine corresponding to the function expression;
step iii, respectively determining input parameters, output parameters and state conversion conditions of the finite-state machine corresponding to the function expression according to the independent variable, the dependent variable and the calculation conditions of the piecewise function of the function expression, and establishing the finite-state machine corresponding to the function expression;
and iv, repeating the steps ii to iii, establishing finite state machines corresponding to the function expressions one by one, and then connecting each parameter of the inverted pendulum system with the corresponding finite state machine to establish a finite state machine model of the inverted pendulum system.
Further, the number of segments of the segmentation function in the step ii is the same as the number of states of the corresponding finite state machine, and there is only one state of the finite state machine corresponding to the non-segmentation function.
Further, the input parameters and the output parameters in the step iii are independent variables and dependent variables of the corresponding function expressions respectively, and the conversion condition is that the segmentation calculation condition of the corresponding segmentation function or the non-segmentation function is always in an activated state.
Further, the inverted pendulum system comprises a fulcrum and a mechanical arm arranged on the fulcrum, parameters of the mechanical arm comprise a length len, a width wid, a height, a density den, a mass and an inertia iner, and the function expression comprises a mass dependency relationship and an inertia dependency relationship.
Further, the quality dependency relationship is a non-piecewise function, and only one corresponding state node is always in an activated state; the inertia dependency relationship is a piecewise function, the corresponding states are two, the conversion conditions are wid > len/20| | heig > len/20, and wid ≦ len/20| | heig ≦ len/20.
The beneficial technical effects of the invention are as follows:
the invention expresses the mathematical dependency relationship among the parameters as the state, expresses the calculation conditions among the mathematical dependency relationships as the transfer among the states, supports the modeling of the multi-parameter dependency relationship, has stable structure, and can dynamically switch different dependency relationships according to the parameter values when the design changes, thereby realizing the dynamic modeling of the parameter dependency relationship. Therefore, possible manual errors in the manual modification parameter dependence model can be effectively eliminated, the design period is shortened, and the design efficiency is improved.
Drawings
FIG. 1 is a flow chart of the overall scheme of the present invention;
FIG. 2 is a schematic structural view of an inverted pendulum system of an embodiment of the present invention;
FIG. 3 is a diagram of a finite state machine with quality dependencies according to an embodiment of the present invention;
FIG. 4 is a diagram illustrating an internal structure of a quality-dependent finite state machine according to an embodiment of the present invention;
FIG. 5 is a diagram of a finite state machine illustrating an inertia dependency according to an embodiment of the present invention;
FIG. 6 is a diagram illustrating an internal structure of a finite state machine with inertia dependency according to an embodiment of the present invention;
FIG. 7 is a finite state machine model of an overall system of an embodiment of the invention.
Detailed Description
The following detailed description of the preferred embodiments will be made with reference to the accompanying drawings.
In the product design activity, the design decision is finally embodied by parameters, the design constraint is expressed as a parameter dependency relationship, and the parameter dependency relationship can be accurately expressed by using a finite-state machine by analyzing the application conditions of different dependency relationships, so that a parameter dependency model expressed by the finite-state machine is generated. The parameter dependent model mainly includes two types of elements: parameters and mathematical dependencies between parameters. The invention expresses mathematical dependency relationship between parameters as states, expresses calculation conditions between the mathematical dependency relationships as transitions between the states, supports modeling of multi-parameter dependency relationship, has stable structure, and can realize dynamic modeling of parameter dependency relationship by dynamically switching different dependency relationships according to parameter values when design change occurs. Therefore, possible manual errors in the manual modification parameter dependence model can be effectively eliminated, the design period is shortened, and the design efficiency is improved.
As shown in fig. 1, the overall scheme of the present invention is a flow chart. The invention provides a finite-state-machine-based parameter dependence model generation method, which comprises the following steps:
step one, listing corresponding parameter dependency relationship expressions according to parameters and design constraints of a product system, and adding the corresponding parameter dependency relationship expressions into a parameter dependency relationship set;
step two, establishing corresponding finite state machines and states thereof one by one for each parameter dependency relation expression in the parameter dependency relation set, and setting conversion conditions for the states;
connecting each parameter of the product system with the input parameter and the output parameter of the corresponding finite-state machine, and establishing a parameter dependence model of the product system;
the second step specifically comprises the following steps:
step I, any parameter dependency relation expression is selected from the parameter dependency relation set, the independent variable of the parameter dependency relation expression is the input parameter of the corresponding finite-state machine, and the dependent variable of the parameter dependency relation expression is the output parameter of the corresponding finite-state machine;
step II, judging whether the parameter dependency relationship expression is a piecewise function, if so, establishing a state of a corresponding finite state machine, and internally setting the parameter dependency relationship expression; if not, creating states with the same number of the segments of the segment function, and setting parameter dependency relation expressions of the corresponding segments in each state;
step III, if the state is only one, the conversion condition is always in an activated state; if the number of the states is more than one, the conversion condition is the corresponding sectional calculation condition of the sectional function of the parameter dependence relational expression;
and IV, repeating the steps one to three until the parameter dependency relationship set is an empty set.
The modeling method is specifically described below by taking an inverted pendulum system as an example, as shown in fig. 2, the inverted pendulum system includes a fulcrum and a mechanical arm disposed on the fulcrum, parameters of the mechanical arm include a length len, a width wid, a height, a density den, a mass and an inertia iner, and a function expression includes a mass dependency and an inertia dependency, as shown in the following equations.
Quality dependence relationship:
mass＝f(len,wid,heig,den)；
inertia dependency relationship:
if the quality dependency relationship is a non-piecewise function, there is only one state of the corresponding finite state machine, and the transition condition is always in an active state, the corresponding finite state machine is established as shown in fig. 3, and the internal structure is shown in fig. 4.
The inertia dependency relationship is that the number of the corresponding finite-state machines and the number of the corresponding segments are the same, namely two, the conversion condition is the calculation condition of the segments, namely wid > len/20| | heig > len/20, wid ≦ len/20| | | heig ≦ len/20, the corresponding finite-state machines are established as shown in fig. 5, and the internal structure is shown in fig. 6.
The parameters of the mechanical arm, length len, width wid, height, density den, mass and inertia iner, are linked to the corresponding finite state machine, and a finite state machine model of the whole inverted pendulum system is further established, as shown in fig. 7.
The model of the inverted pendulum system established based on the finite-state machine is relatively stable in structure, and can calculate the conversion condition of the state in real time according to the numerical value changes of the input parameters of length len, width wid and height, and judge whether to switch to the corresponding state, so that the dynamic change of the parameter dependence relationship is realized under the condition of keeping the structure of the model unchanged. Therefore, possible manual errors in the manual modification parameter dependence model can be effectively eliminated, the design period is shortened, and the design efficiency is improved.
Although specific embodiments of the present invention have been described above, it will be appreciated by those skilled in the art that these are merely examples and that many variations or modifications may be made to these embodiments without departing from the principles and spirit of the invention, the scope of which is therefore defined by the appended claims.
Claims (4)
1. A method for generating a parameter dependence model based on a finite-state machine is characterized by comprising the following steps:
step one, listing a corresponding parameter dependency relationship expression according to parameters and design constraints of the inverted pendulum system, and adding the parameter dependency relationship expression into a parameter dependency relationship set;
step two, establishing corresponding finite-state machines and states thereof one by one for each parameter dependency relation expression in the parameter dependency relation set, and setting conversion conditions for the states of the finite-state machines;
connecting each parameter of the inverted pendulum system with the input parameter and the output parameter of the corresponding finite-state machine, and establishing a parameter dependence model of the inverted pendulum system;
the second step specifically comprises the following steps:
step I, any parameter dependency relation expression is selected from the parameter dependency relation set, the independent variable of the parameter dependency relation expression is the input parameter of the corresponding finite-state machine, and the dependent variable of the parameter dependency relation expression is the output parameter of the corresponding finite-state machine;
step II, judging whether the parameter dependency relationship expression is a piecewise function, if not, establishing a state of a corresponding finite state machine, and internally setting the parameter dependency relationship expression; if so, establishing states with the same number as the segments of the segmentation function, and setting parameter dependency relation expressions of the corresponding segments in each state;
step III, if the state is only one, the conversion condition is always in an activated state; if the number of the states is more than one, the conversion condition is the corresponding sectional calculation condition of the sectional function of the parameter dependence relational expression;
and IV, repeating the steps one to three until the parameter dependency relationship set is an empty set.
2. A modeling method of an inverted pendulum system based on a finite-state machine is characterized by comprising the following steps:
analyzing the inverted pendulum system, and determining parameters of the inverted pendulum system and a function expression for expressing the relationship between the parameters;
step ii, judging whether the function expression is a piecewise function and the number of the segments, and determining the number of the states of the finite state machine corresponding to the function expression;
step iii, respectively determining input parameters, output parameters and state conversion conditions of the finite-state machine corresponding to the function expression according to the independent variable, the dependent variable and the calculation conditions of the piecewise function of the function expression, and establishing the finite-state machine corresponding to the function expression;
step iv, repeating the steps ii to iii, establishing finite-state machines corresponding to the function expressions one by one, and then associating each parameter of the inverted pendulum system with the corresponding finite-state machine to establish a finite-state machine model of the inverted pendulum system;
the number of the segments of the segmentation function in the step ii is the same as the number of the states of the corresponding finite state machine, the finite state machine corresponding to the non-segmentation function has only one state,
the input parameters and the output parameters in the step iii are independent variables and dependent variables of the corresponding function expressions respectively, and the conversion conditions are segmented calculation conditions of the corresponding segmented functions or non-segmented functions which are always in an activated state.
3. The finite state machine-based inverted pendulum system modeling method of claim 2, wherein: the inverted pendulum system comprises a fulcrum and a mechanical arm arranged on the fulcrum, parameters of the mechanical arm comprise a length len, a width wid, a height, a density den, a mass and an inertia iner, and a function expression comprises a mass dependency relationship and an inertia dependency relationship.
4. The finite state machine-based inverted pendulum system modeling method of claim 3, wherein: the quality dependency relationship is a non-piecewise function, and only one corresponding state node is always in an activated state; the inertia dependency relationship is a piecewise function, the corresponding states are two, the conversion conditions are wid > len/20| | heig > len/20, and wid ≦ len/20| | heig ≦ len/20.
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