Exponential H_∞ output tracking control for coupled switched systems with states of different dimensions

Abstract

This paper is concerned with the output tracking control for complex switched systems with non-diffusively delayed coupling. The states' dimensions are different in the coupled switched systems and reference system. On the base of the average dwell time and piecewise Lyapunov functional methods, a delay-dependent exponential stability criterion is derived for the switched systems under the QUAD condition which is less conservative than the Lipschitz condition. The state feedback controller is employed in the design of output tracking, and the $H_{\mathrm{\infty }}$ tracking performance is guaranteed by solving a linear matrix inequality. Finally, three numerical examples are provided to show the advantage and effectiveness of the proposed theoretical results.

Keywords:

• Output tracking control
• switched systems
• time-varying delays
• delayed coupling
• $H_{\mathrm{\infty }}$ controller

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research is supported by grants from the National Natural Science Foundation of China (No. 61572233 and No. 11471083), and the Science and Technology Program of Guangzhou, China (No. 201707010404).