Robust control for a class of cyber-physical systems with multi-uncertainties

Abstract

In this paper, the important issue is proposed, that is, the robust control of a class of cyber-physical systems (CPSs) in the complex environment where unknown disturbances, unknown bounded delays and stochastic malicious attacks coexist. A Lyapunov–Krasovskii functional (LKF) containing certain double and triple integral terms is constructed to exploit merits of the presented generalised single and double integral inequalities which are tighter than some existing single and double inequalities, leading to the stability analysis result with less conservatism. Furthermore, by using stochastic analysis technique, the stability analysis and $H_{\mathrm{\infty }}$ output feedback controller design are transformed into the convex optimisation problems solved by the linear matrix inequality (LMI) strategy. Finally, the actual load frequency control (LFC) power system and the classical numerical examples are provided to show the rationality for modelling and the advancement of the developed method.

Keywords:

• Cyber-physical systems
• robust control
• unknown disturbances
• time-varying delays
• stochastic attacks

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Science Foundation of China (No. 61873205, 62073269), China Postdoctoral Science Foundation (No. 2018M643661) and Sponsored by Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University (No. CX202040).

Notes on contributors

Jing He

Jing He received the B.S degree in electrical engineering and automation from Hebei Normal University, Shijiazhuang, China, in 2015, and received the M.S. degree in the School of Automation, Northwestern Polytechnical University, Xi' an, China, where she is currently working toward the Ph.D degree. Her current research interests include time-delay systems, networked control and estimation theory.

Yan Liang

Yan Liang received the B.S. degree from the School of Marine Engineering at Northwestern Polytechnical University (NPU),China, in 1993, and the M.S. and Ph.D. degrees from the School of Automation at NPU in 1998 and 2001, respectively. He was a Post-Doctoral Fellow at Tsinghua University, China, from April 2001 to July 2003, a Research Fellow at the Hong Kong Polytechnic University from May 2006 to August 2006, and a Visiting Scholar at the University of Alberta from December 2007 to December 2008. Since 2009, he has been a Professor in the School of Automation at NPU. His research interests are in the areas of estimation theory, information fusion and target tracking.

Feisheng Yang

Feisheng Yang received Ph.D. degree in control theory and control engineering from Northeastern University (NEU), China, in 2013. He joined as an Associate Professor in Northwestern Polytechnical University in 2014. In 2015, he was a visiting associate professor in Department of Computer Science and Information Technology, La Trobe University, Australia. And from 2016 to 2017, Dr. Yang worked as a visiting scholar in Department of Mechanical and Aerospace Engineering, University of California, San Diego, America. His research interests include time-delay systems and distributed parameter systems, networked control and power systems.