Robust mixed H₂/H_∞ controller for uncertain neutral state‐input delayed systems via LMI optimization approach

Abstract

In this paper, the problem of designing a robust mixed H ₂/H _∞ controller for a class of uncertain neutral state‐input delays system is considered. Based on Lyapunov‐Krasovskii functional theory, a delay‐dependent criterion is derived for the existence of a desired mixed H ₂/H _∞ controller, which can be easily constructed by certain feasible linear matrix inequalities (LMIs). Furthermore, a convex optimization problem is formulated to solve for a robust mixed H ₂/H _∞ controller which achieves the minimization of an upper bound of the closed‐loop H ₂ perforance measure.

Key words:

• robust mixed H ₂/H _∞ controller
• neutral state‐input delayed systems
• Lyapunov‐Krasovskii functional

Notes

J. D. Chen is with the Department of Electronic Engineering, National Kinmen Institute of Technology, Kinmen, Taiwan 892, R.O.C. (Tel: [phone]; Fax: [phone]; Email: tdchen@mail. kmit.edu.tw)