Decentralised memory static output feedback control for the nonlinear time-delay similar interconnected systems

Abstract

In this paper, the problem of decentralised memory static output feedback control for a class of nonlinear time-delayed interconnected systems with similar structure is investigated, where both the linear and nonlinear state vectors involve time delay. The contributions of the paper include the following: (1) a new similar structure is presented via memory static output feedback; (2) by exploiting the structure of interconnected systems, the new integral inequalities, constrained Lyapunov equations and LMI method, the decentralised memory static output derivative feedback controllers with similar structure are designed, which is dependent of time delays, to stabilise the interconnected systems uniformly asymptotically; and (3) the stability domain is estimated. The conservatism of the results obtained is reduced by full using the system output information. Finally, the numerical examples are given to demonstrate the effectiveness of the results obtained in this paper.

Keywords:

• decentralised control
• interconnected systems
• similar structure
• output feedback control
• time delay

Acknowledgements

The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions to improve the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Funding

This paper was supported by the National Natural Science Foundation of China [grant number 61273004].