Security Control for Discrete-Time Stochastic Nonlinear Systems Subject to Deception Attacks

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 48; no. 5; pp. 779 - 789
• Main Authors: Ding, Derui, Wang, Zidong, Han, Qing-Long, Wei, Guoliang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.05.2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Computer crime; Control systems; Control systems design; Controllers; Cost function; Criteria; Deception; Deception attacks; Discrete time systems; discrete-time stochastic nonlinear systems; Feedback control; Inequalities; Linear matrix inequalities; Linear systems; Nonlinear control; Nonlinear systems; Output feedback; Probability theory; Security; security control; security in probability; Stochastic systems; Upper bound; Upper bounds
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2016.2616544

This paper is concerned with the security control problem with quadratic cost criterion for a class of discrete-time stochastic nonlinear systems subject to deception attacks. A definition of security in probability is adopted to account for the transient dynamics of controlled systems. The purpose of the problem under consideration is to design a dynamic output feedback controller such that the prescribed security in probability is guaranteed while obtaining an upper bound of the quadratic cost criterion. First of all, some sufficient conditions with the form of matrix inequalities are established in the framework of the input-to-state stability in probability. Then, an easy-solution version on above inequalities is proposed by carrying out the well-known matrix inverse lemma to obtain both the controller gain and the upper bound. Furthermore, the main results are shown to be extendable to the case of discrete-time stochastic linear systems. Finally, two simulation examples are utilized to illustrate the usefulness of the proposed controller design scheme.