TY - GEN
T1 - Piecewise Linear Control for Continuous-Time Markov Jump PWA Systems Based on Adaptive Fault-Tolerant Strategy
AU - Xu, Nuo
AU - Zhu, Yanzheng
AU - Chen, Xinkai
AU - Yang, Ting
N1 - Funding Information:
This work is supported by the National Natural Science Foundation of China under Grant U1813201, Grant 61973131, Grant 61733009, and Grant 62003271, in part by the Fujian Outstanding Youth Science Fund under Grant 2020J06022, and in part by the Scientific Research Funds of Huaqiao University under Grant 605-50Y19010.
Publisher Copyright:
© 2021 Technical Committee on Control Theory, Chinese Association of Automation.
PY - 2021/7/26
Y1 - 2021/7/26
N2 - This paper investigates the issue of piecewise-linear (PWL) control design for a class of continuous-time Markov jump piecewise-affine (PWA) systems based on adaptive fault-tolerant strategy. To solve the problem of switching path selection between different system modes and PWA regions, a new switching path selection (SPS) algorithm is proposed. Moreover, an efficient adaptive law is developed to ensure that the system remains stochastic stable even with actuator faults. By employing above methods and constructing the piecewise Lyapunov functional, a sufficient condition in the form of linear matrix inequalities (LMIs) can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
AB - This paper investigates the issue of piecewise-linear (PWL) control design for a class of continuous-time Markov jump piecewise-affine (PWA) systems based on adaptive fault-tolerant strategy. To solve the problem of switching path selection between different system modes and PWA regions, a new switching path selection (SPS) algorithm is proposed. Moreover, an efficient adaptive law is developed to ensure that the system remains stochastic stable even with actuator faults. By employing above methods and constructing the piecewise Lyapunov functional, a sufficient condition in the form of linear matrix inequalities (LMIs) can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
KW - Markov jump piecewise-affine systems
KW - actuator faults
KW - adaptive fault-tolerant strategy
KW - piecewise-linear control
UR - http://www.scopus.com/inward/record.url?scp=85117348574&partnerID=8YFLogxK
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U2 - 10.23919/CCC52363.2021.9549891
DO - 10.23919/CCC52363.2021.9549891
M3 - Conference contribution
AN - SCOPUS:85117348574
T3 - Chinese Control Conference, CCC
SP - 4536
EP - 4540
BT - Proceedings of the 40th Chinese Control Conference, CCC 2021
A2 - Peng, Chen
A2 - Sun, Jian
PB - IEEE Computer Society
T2 - 40th Chinese Control Conference, CCC 2021
Y2 - 26 July 2021 through 28 July 2021
ER -