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Aiming at the problem of fault estimation in a class of time-varying discrete switched system with arbitrary sequence, in this paper we propose a novel fault estimation algorithm. The algorithm uses the introduced virtual fault signal to construct fault estimator, and uses the residual signal to modify the introduced virtual fault step by step through using the iterative learning method and making the virtual fault gradually approach to the actual fault by increasing the iterative number. The convergence of the algorithm in each subinterval is strictly proven by the use of contraction mapping method, and the convergent condition of the algorithm is provided. Theoretical analyses indicate that the proposed algorithm can estimate different types of faults occurring in a switched system accurately in a finite interval. Finally, the validity of the algorithm is verified by simulations.
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Keywords:
- discrete-time switched systems /
- iterative learning /
- fault estimation /
- arbitrary switched rules
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[6] Zhong M Y, Liu S, Zhao H H 2008 Acta Autom. Sin. 34 1529
[7] Zhang K, Jiang B, Shumsky A 2009 Acta Autom. Sin. 35 85
[8] Li Juan, Zhao Y G, Yu Yang, Zhang P, Gao H W 2012 Acta Autom. Sin. 38 858(in Chinese)[李娟, 赵友刚, 于洋, 张鹏, 高洪伟 2012 自动化学报 38 858]
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[13] He X X, Qin Z H, Zhang D 2012 Control Theory & Applications 29 1038(in Chinese)[何熊熊, 秦贞华, 张端 2012 控制理论与应用 29 1038]
[14] Gao L, Liu X M, Gu X S 2010 Control and Decision 25 1173(in Chinese)[高林, 刘喜梅, 顾幸生 2010 控制与决策 25 1173]
[15] Yan B Y, Tian Z H, Shi S J 2009 Control and Decision 24 0133(in Chinese)[颜秉勇, 田作华, 施颂椒 2009 控制与决策 24 0133]
[16] Cao W, Sun M 2012 Control Theory & Applications 29 1495(in Chinese)[曹伟, 孙明 2012 控制理论与应用 29 1495]
[17] Wu L F, Guan Y, Liu Y 2013 Acta Phys. Sin. 62 110510(in Chinese)[吴立峰, 关永, 刘勇 2013 物理学报 62 110510]
[18] Jia X C, Zheng L H, Chi X B, Zhang D W 2009 Acta Autom. Sin. 35 1476(in Chinese)[贾新春, 郑利红, 池小波, 张大伟 2009 自动化学报 35 1476]
[19] Gao F R, Yang Y, Shao C 2001 Chem. Engineer. Sci. 56 7025
[20] Hou Z S, Xu J X, Yan J W 2008 Transport. Res. C 16 71
[21] Lin H, Antsaklis P 2009 IEEE Trans. Autom. Control 54 1
[22] Cheng D, Guo L, Lin Y 2005 IEEE Trans. Autom. Control 50 661
[23] Pu X H, Hou Z S, Yu F S 2012 Control Theory & Applications 29 1051(in Chinese)[卜旭辉, 侯忠生, 余发山 2012 控制理论与应用 29 1051]
[24] Cao W, Sun M 2014 Acta Phys. Sin. 63 020201(in Chinese)[曹伟, 孙明 2014 物理学报 63 020201]
[25] Wang D, Wang W, Shi P 2009 IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 39 800
[26] Wang D, Shi P, Wang W 2010 IET Control Theory Appl. 4 100
[27] Yin S, Luo H, Ding S 2014 IEEE Trans. Industrial Electron. 61 2402
[28] Yin S, Ding S X, Haghani A 2012 J. Process Control 22 1567
[29] Yin S, Ding S X, Haghani A, Hao H Y 2013 Int. J. Syst. Sci. 44 1366
[30] Yin S, Wang G, Karimi H R 2013 J. Mech. 2013 9
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[1] Cai X J, Wu F 2011 J. Syst. Engineer. Electron. 22 52
[2] Zhong M Y, Ding S X, Ding E L 2010 Automatica 46 1395
[3] Liu H, Song Y R, Fan C X, Jaing G P 2010 Chin. Phys. B 19 070508
[4] Wu Z Q, Yang Y, Xu C H 2013 Acta Phys. Sin. 62 150507(in Chinese)[吴忠强, 杨阳, 徐纯华 2013 物理学报 62 150507]
[5] Zhao Y Y, Jiang G P 2011 Acta Phys. Sin. 60 110206(in Chinese)[赵岩岩, 蒋国平 2011 物理学报 60 110206]
[6] Zhong M Y, Liu S, Zhao H H 2008 Acta Autom. Sin. 34 1529
[7] Zhang K, Jiang B, Shumsky A 2009 Acta Autom. Sin. 35 85
[8] Li Juan, Zhao Y G, Yu Yang, Zhang P, Gao H W 2012 Acta Autom. Sin. 38 858(in Chinese)[李娟, 赵友刚, 于洋, 张鹏, 高洪伟 2012 自动化学报 38 858]
[9] Arimoto S, Kawamura S, Miyazaki F 1984 J. Robo. Syst. 1 123
[10] Sun M X, Wang D W 2003 IEEE Trans. Autom. Control 48 144
[11] Freeman C T, Cai Z L, Rogers E 2011 IEEE Trans. Control Syst. Technol. 19 590
[12] Son T D, Ahn H S, Moore K L 2013 Automatica 49 1465
[13] He X X, Qin Z H, Zhang D 2012 Control Theory & Applications 29 1038(in Chinese)[何熊熊, 秦贞华, 张端 2012 控制理论与应用 29 1038]
[14] Gao L, Liu X M, Gu X S 2010 Control and Decision 25 1173(in Chinese)[高林, 刘喜梅, 顾幸生 2010 控制与决策 25 1173]
[15] Yan B Y, Tian Z H, Shi S J 2009 Control and Decision 24 0133(in Chinese)[颜秉勇, 田作华, 施颂椒 2009 控制与决策 24 0133]
[16] Cao W, Sun M 2012 Control Theory & Applications 29 1495(in Chinese)[曹伟, 孙明 2012 控制理论与应用 29 1495]
[17] Wu L F, Guan Y, Liu Y 2013 Acta Phys. Sin. 62 110510(in Chinese)[吴立峰, 关永, 刘勇 2013 物理学报 62 110510]
[18] Jia X C, Zheng L H, Chi X B, Zhang D W 2009 Acta Autom. Sin. 35 1476(in Chinese)[贾新春, 郑利红, 池小波, 张大伟 2009 自动化学报 35 1476]
[19] Gao F R, Yang Y, Shao C 2001 Chem. Engineer. Sci. 56 7025
[20] Hou Z S, Xu J X, Yan J W 2008 Transport. Res. C 16 71
[21] Lin H, Antsaklis P 2009 IEEE Trans. Autom. Control 54 1
[22] Cheng D, Guo L, Lin Y 2005 IEEE Trans. Autom. Control 50 661
[23] Pu X H, Hou Z S, Yu F S 2012 Control Theory & Applications 29 1051(in Chinese)[卜旭辉, 侯忠生, 余发山 2012 控制理论与应用 29 1051]
[24] Cao W, Sun M 2014 Acta Phys. Sin. 63 020201(in Chinese)[曹伟, 孙明 2014 物理学报 63 020201]
[25] Wang D, Wang W, Shi P 2009 IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 39 800
[26] Wang D, Shi P, Wang W 2010 IET Control Theory Appl. 4 100
[27] Yin S, Luo H, Ding S 2014 IEEE Trans. Industrial Electron. 61 2402
[28] Yin S, Ding S X, Haghani A 2012 J. Process Control 22 1567
[29] Yin S, Ding S X, Haghani A, Hao H Y 2013 Int. J. Syst. Sci. 44 1366
[30] Yin S, Wang G, Karimi H R 2013 J. Mech. 2013 9
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