Slamming-slamming control method of linear switching system

A technology for switching systems and control methods, which is applied in the directions of adaptive control, comprehensive factory control, general control system, etc., and can solve the problems that the optimal switching conditions have not yet been obtained.

Active Publication Date: 2021-08-31
TONGJI UNIV
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Problems solved by technology

However, for closed-loop linear switched systems with control signal amplitude constraints, the optimal switching conditions for the bang-bang control problem have not yet been obtained

Method used

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  • Slamming-slamming control method of linear switching system
  • Slamming-slamming control method of linear switching system
  • Slamming-slamming control method of linear switching system

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Embodiment Construction

[0056] The following examples are only used to illustrate the technical solutions of the present invention more clearly, and cannot be used to limit the protection scope of the present invention.

[0057] A bang-bang control method for a linear switching system, including a linear subsystem selection module and a bang-bang control input module; the linear switching system adopts a linear subsystem as an evolution model at any time, and the evolution model is in multiple linear subsystems. Switch between systems;

[0058] The linear subsystem selection module checks the optimal switching conditions at any time according to all the existing linear subsystems and the performance index function that characterizes the control effect, and determines the optimal linear subsystem and the bang-bang control input sequence;

[0059] The pop-pop control input module determines the pop-pop control input according to the selected optimal linear subsystem, and the pop-pop control input switc...

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Abstract

The invention discloses a slamming-slamming control method of a linear switching system. The system is characterized by comprising a linear subsystem selection module and a slamming-slamming control input module, wherein the linear subsystem selection module is used for checking an optimal switching condition at any moment and selecting an optimal linear subsystem so as to determine a slamming-slamming control input; the slamming-slamming control input module adds discrete slamming-slamming control input into the optimal linear subsystem, the slamming-slamming control input is switched between two values of opposite numbers, and the sign of the slamming-slamming control input at each moment depends on the co-state variable and the input matrix of the optimal linear subsystem. The invention provides an optimal switching strategy depending on a co-state variable and a state variable, designs a slamming-slamming control method for a switching system comprising a plurality of linear subsystems, provides an optimal control method with limited amplitude of a control quantity by minimizing a secondary performance index related to a state, and includes an optimal switching condition and switching-dependent control input.

Description

technical field [0001] The invention relates to a bang-bang control method for a linear switching system, belonging to the technical field of switching systems and optimal control. Background technique [0002] The design of the control system usually needs to optimize some expected performance indicators, such as the minimum energy consumption of the control signal, the shortest time to reach the target state, and the minimum energy of the deviation between the state and the equilibrium point. The performance index is optimized by applying reasonable control input. [0003] The solution methods of optimal control problems are mainly divided into maximum value principle and dynamic programming method. For discrete switched systems, the optimal control law and the approximate optimal solution of the switching law can be obtained by dynamic programming and shearing algorithm. When the control time domain is too long, the feasible solution space to be sheared increases expone...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042Y02P90/02
Inventor 伍光宇
Owner TONGJI UNIV
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