Adaptive sliding-mode control method and simulation method for nonlinear system
A nonlinear system, adaptive sliding mode technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., to achieve the effect of solving asymptotic stability
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Embodiment 1
[0014] Embodiment 1: This embodiment proposes an adaptive control slipping modeling method or system based on Lyapunov functions for a class of nonlinear systems containing uncertainties and unknown bounded external disturbances. The nonlinear function approximation ability of LS-SVM regression is used to design a feedback linearization controller, and the sliding mode control is introduced to compensate the approximation error of LS-SVM regression and the influence of uncertain external disturbance on the system output, and the Lyapunov function is used to calculate the weight parameters of LS-SVM Finally, a simulation example is used to verify the design scheme.
[0015] 1 Problem description
[0016] Consider nonlinear uncertain systems
[0017]
[0018] in is an unknown nonlinear function, b is an unknown control gain, d is a bounded disturbance, u∈R and y∈R are the input and output of the system, respectively, and n is the order of the system state. Assume is the...
Embodiment 2
[0086] Embodiment 2, as the system executed by the method in Embodiment 1, this embodiment includes the following scheme:
[0087] An adaptive sliding mode control system for a nonlinear system stores a plurality of instructions, and the instructions are suitable for being loaded and executed by a processor:
[0088] Approximate an ideal state feedback controller using the LS-SVM structure for the nonlinear system to construct a new feedback controller;
[0089] Approximation error and / or uncertain external disturbance compensation for LS-SVM regression by applying sliding mode control to it;
[0090] Determines the weight parameter vector at an adaptive rate.
[0091] The nonlinear system uses the LS-SVM structure to approximate the ideal state feedback controller to construct a new feedback controller based on the following method
[0092] The nonlinear system
[0093]
[0094] in: is the unknown nonlinear function, b is the unknown control gain, d is the bounded dis...
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