H∞ finite-time control for LPV systems with parameter-varying time delays and external disturbance via observer-based state feedback

This paper is concerned with the observer-based H-infinity finite-time control problem for linear parameter-varying (LPV) systems with parameter-varying time delays and external disturbance. The main contribution is to design an observer-based H(infinity )finite-time controller such that the resulting closed-loop system is uniformly finite-time bounded and satisfies a prescribed H(infinity )disturbance attenuation level in a finite-time interval. By using the delay- and parameter-dependent multiple Lyapunov-Krasovskii functional approach, sufficient criteria on uniform H(infinity )finite-time stabilization via observer-based state feedback are presented for the solvability of the problem, which can be tackled by a feasibility problem in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the validity of the proposed theoretical results. (C) 2019 Published by Elsevier Ltd on behalf of The Franklin Institute.