Asynchronous Control for Discrete-Time Hidden Markov Jump Power Systems

• Published in: IEEE transactions on cybernetics Vol. 52; no. 9; pp. 9943 - 9948
• Main Authors: Kuppusamy, Subramanian, Joo, Young Hoon, Kim, Han Sol
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.09.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Asynchronous control; Circuit breakers; Circuit faults; Control systems; Control theory; Discrete time systems; hidden Markov model; Hidden Markov models; Liapunov functions; Linear matrix inequalities; linear matrix inequality (LMI); Markov chains; Markov processes; Mathematical analysis; Nonsynchronization; Power lines; Power system stability; power systems; Stability criteria
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2021.3062672

In this article, the stabilization problem of discrete-time power systems subject to random abrupt changes is studied via asynchronous control. In this regard, the transient faults in the power lines, and subsequent switching of associated circuit breakers are modeled as a Markov chain. Based on this, the power systems are described as discrete-time Markov jump systems. The focus is mainly to design the control for Markov jump-based power systems (MJPSs) when modes of the control asynchronously run with the modes of power systems. To do this, a hidden Markov model technique is used to characterize the nonsynchronization between the control and system. By constructing the mode-dependent stochastic Lyapunov function, the sufficient conditions are acquired in the form of linear matrix inequalities (LMIs), which ensure not only the stochastic stability of the resulting hidden MJPSs but also the existence of the desired control. Finally, the simulation example reveals the efficiency of the designed control law.