Journal Article

Finite-time reliable ℒ2 − ℒ∞/ℋ∞ control for Takagi–Sugeno fuzzy systems with actuator faults

Shen, Hao, Park, Ju H, Wu, Zheng-Guang

2014

Overview

This study deals with the problem of finite-time reliable ℒ2 − ℒ∞/ℋ∞ control for non-linear systems with actuator faults through Takagi–Sugeno fuzzy model approach. The actuator failure model under consideration is assumed to be governed by a homogenous Markov chain. The focus is on the design of a fuzzy Markov switching fault-tolerant controller such that the resulting closed-loop system is stochastically finite-time bounded with a mixed ℒ2 − ℒ∞/ℋ∞ performance level over a finite-time interval. Some sufficient conditions for the solvability of the above problem are given in terms of linear matrix inequalities by introducing a new mixed ℒ2 − ℒ∞/ℋ∞ performance function. Finally, a quarter-vehicle suspension model is employed to demonstrate the effectiveness of our proposed approach.

• Publisher: The Institution of Engineering and Technology
• Subject: actuator failure model / actuator faults / actuators / closed loop systems / closed‐loop system / computability / control system synthesis / fault tolerant control / finite‐time interval / finite‐time reliable â„’2 − ℒ∞/ℋ∞ control / fuzzy control / fuzzy Markov switching fault‐tolerant controller design / homogenous Markov chain / H∞ control / linear matrix inequalities / Markov processes / mixed â„’2 − ℒ∞/ℋ∞ performance function / nonlinear control systems / nonlinear systems / quarter‐vehicle suspension model / solvability / Special Issue on Fault Detection, Isolation, and Tolerant Control of Vehicles using Soft Computing Methods / stochastic systems / stochastically finite‐time bounded / Takagi–Sugeno fuzzy systems