Finite-time reliable L2 - Lα/Hα control for Takagi-Sugeno fuzzy systems with actuator faults

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.