Strong γc-γcl H∞ stabilization for networked control systems under denial of service attacks

This paper is concerned with the strong gamma(c)-gamma H-cl (infinity) stabilization problem for networked control systems (NCSs) subject to denial of service (DoS) attacks, which are common attack behaviors that affect the packet transmission of measurement or control signals. The purpose of the problem under consideration is to design a stable dynamic output feedback (DOF) controller (strong stabilizing controller) with the prescribed H-infinity performance norm bound gamma(c) to tolerate multiple packet dropouts caused by DoS attacks, such that, the closed-loop system is mean-square stable and captures the H-infinity disturbance attenuation norm bound gamma(cl). Based on the Lyapunov functional and the stochastic control approach, some sufficient conditions with the form of matrix inequalities for the existence of the desired stable DOF controller are established. Then, by an orthogonal complement space technique, the controller gain is parameterized. Next, an iterative linear matrix inequality (LMI) algorithm is developed to obtain the controller gain. Finally, the usefulness of the proposed method is indicated by a numerical simulation example. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.