Robust multiobjective control of singularly perturbed systems using linear matrix inequality

Abstract

The article investigates the issue of designing H ∞ output feedback controller for a fuzzy nonlinear singularly perturbed systems (SPSs). From overall perspective, we design a series of linear matrix inequalities conditions, which provides the optional stability bounds ℇ 0 , verifies the existence of ℇ 0 and ensures that the T-S fuzzy SPSs are asymptotic stable for all ℇ ∈ (0, ℇ 0 ]. According to the characteristics of SPSs, we design the asymmetric auxiliary matrix P(ℇ), which reduces the conservatism and expands the application scope of ℇ in contrast to the previous results. The approach gives the ℇ-dependent Lyapunov function and deduces the fuzzy ℇ-dependent robust controller. It is not only can be applied to the standard or nonstandard nonlinear systems but also eliminates the ill-conditioned problems. Finally, a numerical example testifies the feasibility of conclusion.

Robust multiobjective control of singularly perturbed systems using linear matrix inequality

“…Subsequent to publication, an error was identified in the ‘Correspondence’ section of Wang 1 . The section has been corrected below.…”