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This paper is concerned with robust stochastic stabilization problem for a class of uncertain stochastic fuzzy systems. The purpose is to design a state-feedback fuzzy controller such that the resulting closed-loop system is robustly stochastically asymptotically stable. Sufficient conditions for the solvability of this problem are obtained by using matrix operations and stochastic Lyapunov approach...
This paper presents the design of a robust iterative learning controller for a class of nonlinear systems with non-parametric uncertainties. The unknown nonlinearities are only required to satisfy the local Lipschitz condition. The learning controller is developed, by using both robust control and iterative learning control methods, which enables to compensate for the shortcoming when either one is...
This paper investigates the robust control problem of nonholonomic dynamic systems with unknown inertia parameters, dynamic and static friction terms, and other disturbances. Based on the ideas of H∞ control and homogeneous feedback, the controller proposed can stabilize the closed loop systems when there is no exotic disturbance. In addition, it can realize the desired disturbance attenuation according...
Three kinds of approximators are widely used in adaptive controllers for the nonlinear systems with uncertainty. They are neural network, fuzzy logic systems and wavelet approximator, respectively. By unifying these three approximators, we developed an on-line approximation based controller for a class of uncertain nonlinear systems. It is proved that with the proposed control law and update laws,...
This paper investigates the problem of static output feedback stabilization for a class of uncertain discrete singular systems. Firstly, based on the stability criterion for the nominal discrete singular system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality (LMI) with linear matrix equality (LME) constraint is established, which...
Based on observer, delay-dependent robust H∞ controller design problem for time-delay systems with a class of nonlinear uncertainties is discussed in the paper. Assuming that the nonlinear uncertain functions in the considered model are gain-bounded, we obtain a sufficient condition for the robustly asymptotic stability and H∞ performance of the closed-loop system in the light of Lyapunov stability...
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