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Real-time Reachable Set Estimation for Markov Jump Systems with Time-varying Delay

Conference Paper


Abstract


  • The problem of real-time reachable set estimation (RSE) for a class of Markov jump systems is studied in this paper. A method is proposed for estimating real-time reachable set of the Markov jump systems with known inputs, bounded disturbances and non-zero initial conditions. By utilizing the linear matrix inequalities (LMIs) and the Lyapunov stability theory, sufficient conditions for estimating the real-time reachable set of Markov jump systems are given, and the reachable set of the resulting systems is mean-square (M-S) bounded by the prescribed ellipsoid. The validity of the theoretical analysis is verified by numerical simulation.

Publication Date


  • 2021

Citation


  • Zhang, L., Cao, Y., & Feng, Z. (2021). Real-time Reachable Set Estimation for Markov Jump Systems with Time-varying Delay. In Proceedings of 2021 IEEE 10th Data Driven Control and Learning Systems Conference, DDCLS 2021 (pp. 1039-1043). doi:10.1109/DDCLS52934.2021.9455454

Scopus Eid


  • 2-s2.0-85114213095

Web Of Science Accession Number


Start Page


  • 1039

End Page


  • 1043

Abstract


  • The problem of real-time reachable set estimation (RSE) for a class of Markov jump systems is studied in this paper. A method is proposed for estimating real-time reachable set of the Markov jump systems with known inputs, bounded disturbances and non-zero initial conditions. By utilizing the linear matrix inequalities (LMIs) and the Lyapunov stability theory, sufficient conditions for estimating the real-time reachable set of Markov jump systems are given, and the reachable set of the resulting systems is mean-square (M-S) bounded by the prescribed ellipsoid. The validity of the theoretical analysis is verified by numerical simulation.

Publication Date


  • 2021

Citation


  • Zhang, L., Cao, Y., & Feng, Z. (2021). Real-time Reachable Set Estimation for Markov Jump Systems with Time-varying Delay. In Proceedings of 2021 IEEE 10th Data Driven Control and Learning Systems Conference, DDCLS 2021 (pp. 1039-1043). doi:10.1109/DDCLS52934.2021.9455454

Scopus Eid


  • 2-s2.0-85114213095

Web Of Science Accession Number


Start Page


  • 1039

End Page


  • 1043