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Input-output finite-time stability of linear systems with actuator failures(PDF)


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Input-output finite-time stability of linear systems with actuator failures
 GAN Yi WU Baowei
 School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
 faulty actuators switched systems input-output finite-time stability Lyapunov function average dwell time
O 231
In order to solve the problem of system instability with faulty actuators. The stability analysis of input-output finite-time for linear systems with faulty actuators via average dwell time and Lyapunov function is presented.The concept of input-output finite-time stability for linear systems is introduced.Based on the switching method, the failure problem of the closed-loop system turns into the corresponding switched system. Furthermore, the state feedback controller is designed and some sufficient conditions for input-output finite-time of linear systems with actuator failures are obtained. Lastly, a numerical example is given to illustrate the effectiveness of the results.


[1] SUN X M,LIU G P,REES D,et al.Controller or actuator failure analysis for systems with time-varying delay[C]//The 46th IEEE Conference on Decision and Control.New Orleans:IEEE,2007:3233-3238.
[2] WANG R,ZHAO J,DIMIROVSKI G,et al.Output feedback control for uncertain linear systems with faulty actuators based on a switching method[J].Int J Robust Nonlinear Control,2009,19:1295-1312.
[3] WANG J,PEI H L,WANG N Z.Adaptive output feedback control using fault compensation and fault estimation for linear system with actuator failure[J].International Journal of Autoation and Computing:Academic Press,2013,10(5):463-471.
[4] AMATO F,AMBROSINO R,COSENTINE C,et al.Input-output finite-time stability of linear systems[J].Automatic,2010,46:1558-1562.
[5] YAO J,FENG J E,SUN L,et al.Input-output finite-time stability of time-varying linear singular systems[C]//Proceedings of the 30th Chinese Control Conference.Yantai:CCC,2011:62-66.
[6] AMATO F,TOMMASI G D,PIRONTI A.Input-output finite-time stabilization of impulsive linear systems:Necessary and sufficient conditions[J].Nonlinear Analysis:Hybrid Systems,2016,19:93-106.
[7] MA Y J,WU B W.Input-output finite time stability of fractional order linear systems with 0<α<1[J].Transactions of the Institute of Measurement and Control,2017,39(5):653-659.
[8] LIANG J X,WU B W,WANG Y E,et al.Input-output finite-time stability of fractional-order positive switched systems[J].Circuits Systems and Signal Processing,2019,38(4):1619-1638.
[9] 梁金霞,吴保卫.分数阶切换系统的输入输出有限时间稳定[J].纺织高校基础科学学报,2018,31(4):490-496. LIANG J X,WU B W.Input-output finite-time stability of fractional-order switched systems[J].Basic Sciences Journal of Textile Universities,2018,31(4):490-496.(in Chinese)
[10] LIU L P,CAO X Y,FU Z M,et al.Input-output finite-time control of positive switched systems with time-varying and distributed delays[J].Journal of Control Science of Engineering,2018,16(2):1-12.
[11] LIBERZON D,MORSE A S.Basic problems in stability and design of switched systems[J].IEEE Control Systems Magazine,2015,19(5):59-70.
[12] 刘玉忠.切换系统稳定性的基本问题[J].沈阳师范大学学报(自然科学版),2013,31(3):335-340. LIU Y Z.The basic problem of switched systems stability[J].Journal of Shenyang Normal University(Natural Science),2013,31(3):335-340.(in Chinese) [13] NIU B,ZHAO X,FAN X,et al.A new control method for state-constrained nonlinear switched systems with application to chemical process[J].International Journal of Control,2015,88(9):1693-1701.
[14] DAYAWANSA W,MARTIN C.A converse Lyapunov function theorem for a class of dynamical systems which undergo switching[J].IEEE Transactions on Automatic Control,1999,44(4):751-760.
[15] WU D,SUN X M,ZHAO Y B,et al.Stability analysis of nonlinear switched networked control systems with periodical packet dropouts[J].Circuits Systems & Signal Processing,2013,32(4):1931-1947.
[16] ZHAI D,LU A,DONG J,et al.Dynamic output feedback H∞ control for switched T-S fuzzy systems via discretized Lyapunov function technique[J].Neuro Computing,2016,177:651-669.
[17] LIU L X,GUO R W,MA S P.Input/output-to-state stability of switched nonlinear systems with an improved average dwell time approach[J].International Journal of Control Automation and Systems,2016,14(2):461-468.
[18] REN H L,ZONG G D,LI T S.Event-triggered finite-time control for networked switched linear systems with asynchronous switching[J].IEEE Transactions on Systems,Man and Cybernetics:Systems,2018,48(11):1874-1884.
[19] ZONG G D,REN H L,HOU L L.Finite-time stability of interconnected impulsive switched systems[J].IET Control Theory and Applications,2016,10(6):648-654.
[20] 段长杰,吴保卫.基于事件触发的不确定时滞切换系统的有限时间稳定[J].纺织高校基础科学学报,2018,31(3):356-362. DUAN C J,WU B W.Finite-time stability for uncertain delay switched systems based on event-triggered[J].Basic Sciences Journal of Textile Universities,2018,31(3):356-362.(in Chinese)
[21] 冯娜娜,吴保卫.切换奇异系统事件触发控制的输入输出有限时间稳定[J].山东大学学报(理学版),2018,53(12):1-10. FENG N N,WU B W.Input-output finite time stability for event-triggered control of switched singular systems[J].Journal of Shandong University(Natural Science),2018,53(12):1-10.(in Chinese)
[22] WANG Y E,WU B W,WU C Y.Stability and L[J].Transactions of the Institute of Measurement and Control,2017,39(5):653-659.


Last Update: 2019-10-07