Η-infinity Robust Interval Fuzzy Control of a Class of Uncertain Chaotic System

Abstract

This paper presents a new kind of fuzzy model, the H" robust interval fuzzy control, to stabilize a class of uncertain chaotic system. The conventional Takagi-Sugeno (T-S) fuzzy modeling scheme is applied to the uncertain chaotic system to accomplish the novel Takagi-Sugeno interval fuzzy model. Then, the parallel distributed compensation (PDC) method is employed to derive the fuzzy controller. The quadratic stabilizability and //" performance problems of the interval fuzzy control system with disturbances are solved which can be converted into the LMI problems. Finally, an uncertain chaotic system is adopted to demonstrate the feasibility and validity of the proposed interval fuzzy control scheme.

MIMO adaptive fuzzy terminal sliding-mode controller for robotic manipulators

“…Therefore, when js i j is large, from (19) jB i j is also large so that ju i j must be given a large value. When js i j is small, from (19) jB i j is also small so that ju i j can be of a smaller value.…”

“…When js i j is small, from (19) jB i j is also small so that ju i j can be of a smaller value. Then small ju i j will reduce the chattering.…”

“…However, chattering is a drawback of the sliding-mode control. While fuzzy logic has been applied to nonlinear systems with uncertainties [1,2,9,13,19,21,22,[26][27][28][29]35,36,38,42,43,47,50,51], the large number of fuzzy rules makes the design complex.…”

Design of Fractional Order Fuzzy Controller Based on Sliding Mode Control for Robotic Flexible Joint Manipulators

“…This causes or damage actuators or excites un-modeled high frequency property of the system. fuzzy logic has been applied to nonlinear systems with uncertainties [6][7][8], The large number of fuzzy rules makes the design complex. Recently, the concept of integrating fuzzy logic control and sliding-mode control has become a popular research subject [1,5,6,9].…”

Stability Analysis and Time-switching Rule Design for the Switched Continuous-time and Discrete-time Systems

“…In the study of switched systems most works have been centralized on the problem of stability. In the last two decades, there has been increasing interest in the stability analysis for such switched systems; see, e.g., [3][4][5][6][7] and the references cited therein. The stability problem for switched systems is to find conditions that guarantee the asymptotic stability for an "Corresponding author::…”