robust $h_{infty}$ control for t–s time-varying delay systems with norm bounded uncertainty based on lmi approach
نویسندگان
چکیده
in this paper we consider the problem of delay-dependent robusth1 control for uncertain fuzzy systems with time-varying delay. the takagi–sugeno (t–s) fuzzy model is used to describe such systems. time-delay isassumed to have lower and upper bounds. based on the lyapunov-krasovskiifunctional method, a sufficient condition for the existence of a robust $h_{infty}$controller is obtained. the fuzzy state feedback gains are derived by solvingpertinent lmis. the proposed method can avoid restrictions on the derivativeof the time-varying delay assumed in previous works. the effectiveness of ourmethod is demonstrated by a numerical example.
منابع مشابه
ROBUST $H_{infty}$ CONTROL FOR T–S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH
In this paper we consider the problem of delay-dependent robustH1 control for uncertain fuzzy systems with time-varying delay. The Takagi–Sugeno (T–S) fuzzy model is used to describe such systems. Time-delay isassumed to have lower and upper bounds. Based on the Lyapunov-Krasovskiifunctional method, a sufficient condition for the existence of a robust $H_{infty}$controller is obtained. The fuzz...
متن کاملLmi-based Analysis of Robust Adaptive Control for Linear Systems with Time-varying Uncertainty∗
Passification-based adaptive control, also known as simple adaptive control, is studied with respect to its robustness to time-varying uncertainties. Results are formulated in terms of LMIs and are therefore testable in polynomial time using semi-definite programming solvers. The main result shows that the adaptive strategy allows, without measurement nor estimation of the uncertain parameters ...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملState-Feedback Control Design for Nonlinear Time-Varying Delay Systems Based on An LMI Approach
This paper examines the problem of designing a robust H∞ state-feedback controller for a class of nonlinear systems with time-varying delay described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ state-feedback controller which guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less...
متن کاملRobust Stabilization of Discrete-Time Systems with Time-Varying Delay: An LMI Approach
Sufficient linear matrix inequality LMI conditions to verify the robust stability and to design robust state feedback gains for the class of linear discrete-time systems with time-varying delay and polytopic uncertainties are presented. The conditions are obtained through parameter-dependent Lyapunov-Krasovskii functionals and use some extra variables, which yield less conservative LMI conditio...
متن کاملRobust Guaranteed Cost Filtering for Uncertain Systems with Time - Varying Delay Via LMI Approach Jong Hae
In this paper, we consider the guaranteed cost filtering design method for time-varying delay systems with parameter uncertainties by LMI(Linear Matrix Inequality) approach. The objective is to design a stable guaranteed cost filter which minimizes the guaranteed cost of the closed loop system in filtering error dynamics. The sufficient conditions for the existence of filter, the guaranteed cos...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 6
شماره 1 2009
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023