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Resilient control co-design for cyber-Physical systems with DoS attacks via a successive convex optimization approach
Institution:1. School of Electrical Engineering, Hunan University of Technology, Zhuzhou 412000, China;2. School of Mathematical Science, Sunway University, Selangor Darul Ehsan 47500, Malaysia;1. Dynamic Systems and Simulation Laboratory, Technical University of Crete, Chania, 73100, Greece;2. Dept. of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece;3. Faculty of Maritime and Transportation, Ningbo University, Ningbo, China;1. Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;2. School of Business, University of Shanghai for Science and Technology, Shanghai 200093, China;1. The College of Electrical Engineering, Sichuan University, Chengdu, 610065, Sichuan, China;2. School of Cyber Science and Engineering, Southeast University, Nanjing 210096, China;1. Mathematical and Actuarial Sciences Department, University Tunku Abdul Rahman, Kajang, Selangor 43000, Malaysia;2. Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor 43400, Malaysia
Abstract:This paper addresses the issue of resilient control in the presence of denial-of-service (DoS) attacks for a class of cyber-physical systems. The primary objective is to design a static output feedback controller and event-triggered condition simultaneously such that the globally exponential stability of the closed-loop system is ensured. Compared with stepwise techniques, the co-design achieves the trade-off between control performance and communication cost. The control co-design process is formulated as a bilinear matrix inequality (BMI) problem, which involves nonlinear terms. A successive convex optimization approach is proposed to solve the BMI problem. Further, we develop a self-triggered communication scheme to reduce the cost caused by continuous event detection. It is shown that the proposed event/self-triggered strategy is Zeno-free and excludes singular triggering. Finally, a numerical example is presented to demonstrate the validity of the proposed method.
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