Asynchronous Control for Discrete-Time Hidden Markov Jump Power Systems

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 thi...

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Published inIEEE transactions on cybernetics Vol. 52; no. 9; pp. 9943 - 9948
Main Authors Kuppusamy, Subramanian, Joo, Young Hoon, Kim, Han Sol
Format Journal Article
LanguageEnglish
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
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Abstract 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.
AbstractList 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.
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.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.
Author Joo, Young Hoon
Kim, Han Sol
Kuppusamy, Subramanian
Author_xml – sequence: 1
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  orcidid: 0000-0002-7532-2528
  surname: Kuppusamy
  fullname: Kuppusamy, Subramanian
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  givenname: Young Hoon
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  fullname: Joo, Young Hoon
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  givenname: Han Sol
  surname: Kim
  fullname: Kim, Han Sol
  organization: Department of Control and Automation Engineering, Korea Maritime and Ocean University, Busan, Republic of Korea
BackLink https://www.ncbi.nlm.nih.gov/pubmed/33750729$$D View this record in MEDLINE/PubMed
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SubjectTerms 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
Title Asynchronous Control for Discrete-Time Hidden Markov Jump Power Systems
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Volume 52
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