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research-article

Observer-based finite-time non-fragile control for nonlinear systems with actuator saturation

[+] Author and Article Information
Rathinasamy Sakthivel

Department of Applied Mathematics, Bharathiar University, Coimbatore - 641046, India
krsakthivel0209@gmail.com

R Mohana Priya

Department of Applied Mathematics, Bharathiar University, Coimbatore - 641046, India
wishesmona@gmail.com

Wang Chao

Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
chaowang@ynu.edu.cn

P Dhanalakshmi

Department of Applied Mathematics, Bharathiar University, Coimbatore - 641046, India
viga_dhanasekar@yahoo.co.in

1Corresponding author.

ASME doi:10.1115/1.4041911 History: Received March 31, 2018; Revised October 30, 2018

Abstract

This paper considers a design problem of dissipative and observer-based finite-time non-fragile control for a class of uncertain discrete-time system with time-varying delay, nonlinearities, external disturbances and actuator saturation. In particular, in this work, it is assumed that the nonlinearities satisfy Lipschitz condition for obtaining the required results. By choosing a suitable Lyapunov-Krasovskii functional, a new set of sufficient conditions is obtained in terms of linear matrix inequalities, which ensures the finite-time boundedness and dissipativeness of the resulting closed-loop system. Meanwhile, the solvability condition for the observer-based finite-time non-fragile control is also established, in which the control gain can be computed by solving a set of matrix inequalities. Finally, a numerical example based on the electric-hydraulic system is provided to illustrate the applicability of the developed control design technique.

Copyright (c) 2018 by ASME
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