A general design method for finite-time sliding mode controllers for second-order systems
A finite-time, second-order system technology, applied in adaptive control, general-purpose control systems, control/regulation systems, etc., to solve problems such as no general finite-time sliding surface design criteria
Active Publication Date: 2017-03-29
TIANJIN UNIV
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[0009] Aiming at the above-mentioned problems existing in the prior art, the present invention proposes a design method of a finite-time sliding mode controller for a second-order system, and solves the problem that there is no general finite-time sliding mode surface design criterion by designing a general finite-time sliding mode surface , and based on the general design criterion of finite-time sliding mode surface, the general design form of finite-time sliding mode controller is given, which meets the application requirements and development trend of nonlinear system sliding mode control technology
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[0040] The idea of a general design method for a finite-time sliding mode controller of a second-order system in the present invention is: based on the homogeneous nature of the terminal sliding mode surface, a design criterion for a finite-time sliding mode surface is proposed to obtain a general form of finite-time sliding mode According to Lyapunov's stability theory, a general finite-time sliding mode controller is designed. The finite-time sliding mode controller can make the second-order system reach the equilibrium point in a finite time, which improves the response speed of the control system compared with the linear sliding mode controller.
[0041] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the ...
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The invention discloses a general design method for a second-order system limited time slip form controller. The general design method for the second-order system limited time slip form controller comprises the following steps of designing a second-order system design limited time slip form variation form; determining design conditions of phi (x1) and psi (x2); designing the second-order system limited slip form controller according to the formula that s (x) is equal to phi (x1) and psi (x2) is the phi (x1) and the psi (x2) satisfy the design conditions in the step two and achieving the limited time control of the second-order system. In the existing slip form control, forms of a terminal slip form surface and a corresponding limited time controller are excessively specific and do not have a general design criterion. According to the general design method for the second-order system limited time slip form controller, the general design criterion for the limited time slip form variation is provided, the limited time slip form surface and the corresponding limited time slip form controller in general forms are obtained, and the system condition is in a balance point through asymptotic convergence under the function of a linear slip form controller. Compared with the linear slip form controller, the general design method for the second-order system limited time slip form controller effectively improves the response speed of the control system.
Description
technical field [0001] The present invention belongs to the technical field of sliding mode control. More specifically, it proposes a general design method for a finite-time sliding mode surface of a second-order system. Based on the principle of sliding mode control, a corresponding finite-time sliding mode controller is designed to realize A method for finite-time control of first-order systems. Background technique [0002] Sliding mode control method, as a system synthesis method, has considerable flexibility. Because on the sliding surface, the dynamics of the system are determined by the sliding surface, and the sliding surface is pre-designed. The design of the sliding surface is directly related to the dynamic performance of the system. As long as the sliding surface is accessible and the stability of the sliding mode is guaranteed, the form of the sliding surface can be varied. Therefore, the research on the design of sliding mode has also become a hot issue in s...
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IPC IPC(8): G05B13/04
Inventor 穆朝絮徐伟贾宏杰孙长银
Owner TIANJIN UNIV