Output regulation control for switched stochastic delay systems with dissipative property under error-dependent switching

ABSTRACT

In this paper, the output regulation problem with dissipative property for a class of switched stochastic delay systems is investigated, based on an error-dependent switching law. Under the assumption that none subsystem is solvable for the problem, a sufficient condition is derived by structuring multiple Lyapunov–Krasovskii functionals with respect to multiple supply rates, via designing error feedback regulators. The condition is also established when dissipative property reduces to passive property. Finally, two numerical examples are given to demonstrate the feasibility and efficiency of the present method.

KEYWORDS:

• Output regulation
• dissipativity
• switched stochastic delay systems
• multiple Lyapunov– Krasovskii
• error-dependent switching

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research is supported by the National Natural Science Foundation of China [grant number 61304056]; the Supporting Program for High-level Talents Innovation of Dalian City, China [grant number 2016RQ049].

Notes on contributors

L. L. Li

Li-li Li received her BS degree in Mathematics and PhD degree in Control Theory and Applications in 2004 and 2009, respectively, both from Northeastern University, China. From 2009 to 2012, she was a Postdoctoral Fellow at Dalian University of Technology, China. By August 2017, she had worked as an Associate Professor with School of Mathematics, Liaoning Normal University, China. She is currently an Associate Professor at Dalian Maritime University, China. Her present research interests are mainly in switched systems and output regulation.

C. L. Jin

Cui-li Jin received the B.S. and M.S. degrees in School of Mathematics, Liaoning Normal University, China, in 2013 and 2016, respectively. Currently, she is pursuing the Ph.D. degree with the Department of Control Science and Engineering, Dalian University of Technology, China. Her present research interest is in the area of stability and stabilisation analysis for dynamical systems including switched systems, time-delay systems and stochastic systems.

X. Ge

Xin Gereceived his BS degree in Computer Software and Theory in 2007, and PhD degree in Computer System Architecture in 2011, respectively, both from Northeastern University, China. He is currently a Lecturer in Dalian Maritime University, China. His research interests include complex system and complex networks.