메뉴 건너뛰기




Volumn 84, Issue 10, 2011, Pages 1746-1758

L 2-Gain analysis and control synthesis of uncertain discrete-time switched linear systems with time delay and actuator saturation

Author keywords

Disturbance tolerance; L 2 gain; Multiple Lyapunov functions; Saturating actuators; Time delay; Uncertain switched linear systems

Indexed keywords

DISTURBANCE TOLERANCE; L 2-GAIN; MULTIPLE LYAPUNOV FUNCTION; SATURATING ACTUATOR; UNCERTAIN SWITCHED LINEAR SYSTEMS;

EID: 84855821601     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179.2011.625046     Document Type: Article
Times cited : (53)

References (44)
  • 1
    • 39749201535 scopus 로고    scopus 로고
    • Stabilization of switched systems subject to actuator saturation by output feedback
    • 4177313, Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
    • Benzaouia, A., Akhrif, O., and Saydy, L. (2006), 'Stabilization of Switched Systems Subject to Actuator Saturation by Output Feedback', in Proceedings of the 45th IEEE Conference on Decision and Control, pp. 777-782. (Pubitemid 351291590)
    • (2006) Proceedings of the IEEE Conference on Decision and Control , pp. 777-782
    • Benzaouia, A.1    Akhrif, O.2    Saydy, L.3
  • 2
    • 77951107536 scopus 로고    scopus 로고
    • Stabilisation and control synthesis of switching systems subject to actuator saturation
    • Benzaouia, A., Akhrif, O., and Saydy, L. (2010), 'Stabilisation and Control Synthesis of Switching Systems Subject to Actuator Saturation', International Journal of Systems Science, 41, 397-409.
    • (2010) International Journal of Systems Science , vol.41 , pp. 397-409
    • Benzaouia, A.1    Akhrif, O.2    Saydy, L.3
  • 5
    • 34648843568 scopus 로고    scopus 로고
    • Constrained control of switching systems: A positive invariant approach
    • DOI 10.1080/00207170701280903, PII 780444039
    • Benzaouia, A., Santis, E.D., Caravani, P., and Daraoui, N. (2007), 'Constrained Control of Switching Systems: A Positive Invariant Approach', International Journal of Control, 80, 1379-1387. (Pubitemid 47460775)
    • (2007) International Journal of Control , vol.80 , Issue.9 , pp. 1379-1387
    • Benzaouia, A.1    De Santis, E.2    Caravani, P.3    Daraoui, N.4
  • 7
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    • PII S0018928698026634
    • Branicky, M.S. (1998), 'Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems', IEEE Transactions on Automatic Control, 43, 475-482. (Pubitemid 128737371)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.4 , pp. 475-482
    • Branicky, M.S.1
  • 8
    • 0032204104 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain systems with multiple state delays
    • PII S0018928698075370
    • Cao, Y., Sun, Y., and Cheng, C. (1998), 'Delay Dependent Robust Stabilisation of Uncertain Systems with Multiple State Delays', IEEE Transactions on Automatic Control, 43, 1608-1612. (Pubitemid 128736546)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.11 , pp. 1608-1612
    • Cao, Y.-Y.1    Sun, Y.-X.2    Cheng, C.3
  • 9
    • 0036857323 scopus 로고    scopus 로고
    • Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach
    • DOI 10.1109/TAC.2002.804474
    • Daafouz, J., Riedinger, P., and Iung, C. (2002), 'Stability Analysis and Control Synthesis for Switched Systems: A Switched Lyapunov Function Approach', IEEE Transactions on Automatic Control, 47, 1883-1887. (Pubitemid 35422587)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.11 , pp. 1883-1887
    • Daafouz, J.1    Riedinger, P.2    Iung, C.3
  • 10
    • 33646910241 scopus 로고    scopus 로고
    • Perspectives and results on stability and stabilisability of hybrid systems
    • DeCarlo, R.A., Branicky, M.S., Petterson, S., and Lannartson, B. (2000), 'Perspectives and Results on Stability and Stabilisability of Hybrid Systems', IEEE Proceedings, 88, 1069-1082.
    • (2000) IEEE Proceedings , vol.88 , pp. 1069-1082
    • Decarlo, R.A.1    Branicky, M.S.2    Petterson, S.3    Lannartson, B.4
  • 11
    • 2442442814 scopus 로고    scopus 로고
    • Analysis of linear systems in the presence of actuator saturation and L2-disturbances
    • Fang, H., Lin, Z., and Hu, T. (2004), 'Analysis of Linear Systems in the Presence of Actuator Saturation and L2-disturbances', Automatica, 40, 1229-1238.
    • (2004) Automatica , vol.40 , pp. 1229-1238
    • Fang, H.1    Lin, Z.2    Hu, T.3
  • 12
    • 56549101831 scopus 로고    scopus 로고
    • Dynamic output feedback for discrete-time systems under amplitude and rate actuator constraints
    • Gomes da Silva, J.M., Limon, D., Alamo, T., and Camacho, E.F. (2008), 'Dynamic Output Feedback for Discrete-time Systems Under Amplitude and Rate Actuator Constraints', IEEE Transactions on Automatic Control, 53, 2367-2372.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , pp. 2367-2372
    • Gomes Da Silva, J.M.1    Limon, D.2    Alamo, T.3    Camacho, E.F.4
  • 13
    • 30844453835 scopus 로고    scopus 로고
    • Anti-windup design with guaranteed regions of stability for discrete-time linear systems
    • DOI 10.1016/j.sysconle.2005.07.001, PII S0167691105001167
    • Gomes da Silva, J.M., and Tarbouriech, S. (2006), 'Anti-windup Design with Guaranteed Regions of Stability for Discrete-time Linear Systems', Systems and Control Letters, 55, 184-192. (Pubitemid 43107553)
    • (2006) Systems and Control Letters , vol.55 , Issue.3 , pp. 184-192
    • Gomes Da Silva Jr., J.M.1    Tarbouriech, S.2
  • 15
    • 0037082850 scopus 로고    scopus 로고
    • Analysis and design for discrete-time linear systems subject to actuator saturation
    • DOI 10.1016/S0167-6911(01)00168-2, PII S0167691101001682
    • Hu, T., Lin, Z., and Chen, B.M. (2002), 'Analysis and Design for Discrete-time Linear Systems Subject to Actuator Saturation', Systems and Control Letters, 45, 97-112. (Pubitemid 34040935)
    • (2002) Systems and Control Letters , vol.45 , Issue.2 , pp. 97-112
    • Hu, T.1    Lin, Z.2    Chen, B.M.3
  • 16
    • 50149095027 scopus 로고    scopus 로고
    • On switching H1 controllers for nuclear steam generator water level: A multiple parameter-dependent lyapunov functions approach
    • Hu, K., and Yuan, J. (2008), 'On Switching H1 Controllers for Nuclear Steam Generator Water Level: A Multiple Parameter-dependent Lyapunov Functions Approach', Annals of Nuclear Energy, 35, 1857-1863.
    • (2008) Annals of Nuclear Energy , vol.35 , pp. 1857-1863
    • Hu, K.1    Yuan, J.2
  • 17
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • DOI 10.1109/37.793443
    • Liberzon, D., and Morse, A.S. (1999), 'Basic Problems in Stability and Design of Switched Systems', IEEE Control Systems Magazine, 19, 59-70. (Pubitemid 30505850)
    • (1999) IEEE Control Systems Magazine , vol.19 , Issue.5 , pp. 59-70
    • Liberzon Daniel1    Morse A.Stephen2
  • 18
    • 61349147303 scopus 로고    scopus 로고
    • Stability and stabilisability of switched linear systems: A survey of recent results
    • Lin, H., and Antsaklis, P.J. (2009), 'Stability and Stabilisability of Switched Linear Systems: A Survey of Recent Results', IEEE Transactions on Automatic Control, 54, 308-322.
    • (2009) IEEE Transactions on Automatic Control , vol.54 , pp. 308-322
    • Lin, H.1    Antsaklis, P.J.2
  • 19
    • 39649090092 scopus 로고    scopus 로고
    • 2 gain performance controller synthesis for discrete-time switched linear systems
    • 4177834, Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
    • Lin, H., and Antsaklis, P.J. (2006), 'Switching Stabilisation and L2 Gain Performance Controller Synthesis for Discrete-time Switched Linear Systems', in Proceedings of the 45th IEEE Conference on Decision and Control, pp. 2673-2678. (Pubitemid 351284105)
    • (2006) Proceedings of the IEEE Conference on Decision and Control , pp. 2673-2678
    • Lin, H.1    Antsaklis, P.J.2
  • 20
    • 36849083511 scopus 로고    scopus 로고
    • H1 control and quadratic stabilisation of switched linear systems with linear fractional uncertainties via output feedback
    • Long, F., Fei, S., Fu, Z., Zheng, S., and Wei, W. (2008), 'H1 Control and Quadratic Stabilisation of Switched Linear Systems with Linear Fractional Uncertainties via Output Feedback', Nonlinear Analysis: Hybrid Systems, 2, 18-27.
    • (2008) Nonlinear Analysis: Hybrid Systems , vol.2 , pp. 18-27
    • Long, F.1    Fei, S.2    Fu, Z.3    Zheng, S.4    Wei, W.5
  • 21
    • 51449094620 scopus 로고    scopus 로고
    • Design of switched linear systems in the presence of actuator saturation
    • Lu, L., and Lin, Z. (2008), 'Design of Switched Linear Systems in the Presence of Actuator Saturation', IEEE Transactions on Automatic Control, 53, 1536-1542.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , pp. 1536-1542
    • Lu, L.1    Lin, Z.2
  • 22
    • 75449115546 scopus 로고    scopus 로고
    • A switching anti-windup design using multiple lyapunov functions
    • Lu, L., and Lin, Z. (2010), 'A Switching Anti-windup Design using Multiple Lyapunov Functions', IEEE Transactions on Automatic Control, 55, 142-148.
    • (2010) IEEE Transactions on Automatic Control , vol.55 , pp. 142-148
    • Lu, L.1    Lin, Z.2
  • 23
    • 61849111228 scopus 로고    scopus 로고
    • L2 gain analysis for a class of switched systems
    • Lu, L., Lin, Z., and Fang, H. (2009), 'L2 Gain Analysis for a Class of Switched Systems', Automatica, 45, 965-972.
    • (2009) Automatica , vol.45 , pp. 965-972
    • Lu, L.1    Lin, Z.2    Fang, H.3
  • 24
    • 62749116799 scopus 로고    scopus 로고
    • Disturbance rejection of switched discrete-time systems with saturation nonlinearity
    • DOI 10.1109/CDC.2007.4434016, 4434016, Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
    • Ma, Y., and Yang, G. (2007), 'Disturbance Rejection of Switched Discrete-time Systems with Saturation Nonlinearity', in Proceedings of the 46th IEEE Conference on Decision and Control, pp. 3170-3175. (Pubitemid 351277639)
    • (2007) Proceedings of the IEEE Conference on Decision and Control , pp. 3170-3175
    • Ma, Y.-M.1    Yang, G.-H.2
  • 25
    • 0030257988 scopus 로고    scopus 로고
    • Supervisory control of families of linear set-point controllers - Part 1: Exact matching
    • PII S0018928696075009
    • Morse, A.S. (1996 & 1997), 'Supervisory Control of Families of Set-point Controllers - Parts 1 and 2', IEEE Transactions on Automatic Control, 41-42, 1413-1431, 1500-1515. (Pubitemid 126774213)
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.10 , pp. 1413-1431
    • Morse, A.S.1
  • 27
  • 28
    • 23944521528 scopus 로고    scopus 로고
    • Analysis and synthesis of switched linear control systems
    • DOI 10.1016/j.automatica.2004.09.015
    • Sun, Z.D., and Ge, S.S. (2005), 'Analysis and Synthesis of Switched Linear Control Systems', Automatica, 41, 181-195. (Pubitemid 41536568)
    • (2005) Automatica , vol.41 , Issue.2 , pp. 181-195
    • Sun, Z.1    Ge, S.S.2
  • 29
    • 55049090817 scopus 로고    scopus 로고
    • Delay-dependent stability for discrete systems with large delay sequence based on switching techniques
    • Sun, X., Liu, G., Rees, D., and Wang, We. (2008), 'Delay-dependent Stability for Discrete Systems with Large Delay Sequence Based on Switching Techniques', Automatica, 44, 2902-2908.
    • (2008) Automatica , vol.44 , pp. 2902-2908
    • Sun, X.1    Liu, G.2    Rees, D.3    Wang, We.4
  • 30
    • 79955471000 scopus 로고    scopus 로고
    • L2-gain of systems with input delays and controller temporary failure: Zero-order hold model
    • Sun, X., Liu, G., Wang, We., and Rees, D. (2011), 'L2-gain of Systems with Input Delays and Controller Temporary Failure: Zero-order Hold Model', IEEE Transactions on Control System Technology, 19, 699-706.
    • (2011) IEEE Transactions on Control System Technology , vol.19 , pp. 699-706
    • Sun, X.1    Liu, G.2    Wang, We.3    Rees, D.4
  • 31
    • 33747794306 scopus 로고    scopus 로고
    • 2-gain analysis for switched delay systems: A delay-dependent method
    • DOI 10.1016/j.automatica.2006.05.007, PII S0005109806002135
    • Sun, X., Zhao, J., and Hill, D.J. (2006), 'Stability and L2-gain Analysis for Switched Delay Systems: A Delay-dependent Method', Automatica, 42, 1769-1774. (Pubitemid 44277968)
    • (2006) Automatica , vol.42 , Issue.10 , pp. 1769-1774
    • Sun, X.-M.1    Zhao, J.2    Hill, D.J.3
  • 32
    • 0036759552 scopus 로고    scopus 로고
    • Delay-dependent stabilisation and disturbance tolerance for time-delay systems subject to actuator saturation
    • DOI 10.1049/ip-cta:20020608
    • Tarbouriech, S., Peres, P.L.D., Garcia, G., and Queinnec, I. (2002), 'Delay-dependent Stabilisation and Disturbance Tolerance for Time-delay Systems Subject to Actuator Saturation', IEE Proceedings of the Control Theory and Applications, 149, 387-393. (Pubitemid 35369255)
    • (2002) IEE Proceedings: Control Theory and Applications , vol.149 , Issue.5 , pp. 387-393
    • Tarbouriech, S.1    Peres, P.L.D.2    Garcia, G.3    Queinnec, I.4
  • 33
    • 0027544543 scopus 로고
    • Smart cars on smart roads: Problems of control
    • Varaiya, P.P. (1993), 'Smart Cars on Smart Roads: Problems of Control', IEEE Transactions on Automatic Control, 38, 195-207.
    • (1993) IEEE Transactions on Automatic Control , vol.38 , pp. 195-207
    • Varaiya, P.P.1
  • 34
    • 14344258051 scopus 로고    scopus 로고
    • 2-gain analysis of discrete-time systems with saturation nonlinearity using parameter dependent lyapunov function
    • WeB04.2, 2004 43rd IEEE Conference on Decision and Control (CDC)
    • Wada, N., Oomoto, T., and Saeki, M. (2004), 'L2-gain Analysis of Discrete-time Systems with Saturation Nonlinearity using Parameter Dependent Lyapunov Function', in Proceedings of the 43rd IEEE Conference on Decision and Control, pp. 1952-1957. (Pubitemid 40291246)
    • (2004) Proceedings of the IEEE Conference on Decision and Control , vol.2 , pp. 1952-1957
    • Wada, N.1    Oomoto, T.2    Saeki, M.3
  • 35
  • 36
    • 0035498653 scopus 로고    scopus 로고
    • Disturbance attenuation properties of time-controlled switched systems
    • DOI 10.1016/S0016-0032(01)00030-8, PII S0016003201000308
    • Zhai, G., Hu, B., Yasuda, K., and Michel, A.N. (2001), 'Disturbance Attenuation Properties of Time-controlled Switched Systems', Journal of the Franklin Institute, 338, 765-779. (Pubitemid 33018914)
    • (2001) Journal of the Franklin Institute , vol.338 , Issue.7 , pp. 765-779
    • Zhai, G.1    Hu, B.2    Yasuda, K.3    Michel, A.N.4
  • 37
    • 53149146267 scopus 로고    scopus 로고
    • Delayrange- dependent control synthesis for time delay systems with actuator saturation
    • Zhang, L., Boukas, E., and Haidar, A. (2008), 'Delayrange- dependent Control Synthesis for Time delay Systems with Actuator Saturation', Automatica, 44, 2691-2695.
    • (2008) Automatica , vol.44 , pp. 2691-2695
    • Zhang, L.1    Boukas, E.2    Haidar, A.3
  • 38
    • 0034831393 scopus 로고    scopus 로고
    • Stability of networked control systems
    • DOI 10.1109/37.898794
    • Zhang, W., Branicky, M.S., and Phillips, S.M. (2001), 'Stability of Networked Control Systems', IEEE Control Systems Magazine, 21, 84-99. (Pubitemid 32869524)
    • (2001) IEEE Control Systems Magazine , vol.21 , Issue.1 , pp. 84-99
    • Zhang, W.1    Branicky, M.S.2    Phillips, S.M.3
  • 39
    • 77957803929 scopus 로고    scopus 로고
    • Robust state feedback stabilisation of uncertain switched linear systems subject to actuator saturation
    • Zhang, X., Zhao, J., and Dimirovski, G.M. (2010a), 'Robust State Feedback Stabilisation of Uncertain Switched Linear Systems Subject to Actuator Saturation', in Proceedings of the 2010 American Control Conference, pp. 3269-3274.
    • (2010) Proceedings of the 2010 American Control Conference , pp. 3269-3274
    • Zhang, X.1    Zhao, J.2    Dimirovski, G.M.3
  • 40
    • 84863115187 scopus 로고    scopus 로고
    • L2-gain analysis and control synthesis of uncertain switched linear systems subject to actuator saturation
    • DOI: 10.1080/ 00207721.2010.521597
    • Zhang, X., Zhao, J., and Dimirovski, G.M. (2010b), 'L2-gain Analysis and Control Synthesis of Uncertain Switched Linear Systems Subject to Actuator Saturation', International Journal of Systems Science, DOI: 10.1080/ 00207721.2010.521597.
    • (2010) International Journal of Systems Science
    • Zhang, X.1    Zhao, J.2    Dimirovski, G.M.3
  • 41
    • 2442490914 scopus 로고    scopus 로고
    • Quadratic stability of a class of switched nonlinear systems
    • Zhao, J., and Dimirovski, G.M. (2004), 'Quadratic Stability of a Class of Switched Nonlinear Systems', IEEE Transactions on Automatic Control, 49, 574-578.
    • (2004) IEEE Transactions on Automatic Control , vol.49 , pp. 574-578
    • Zhao, J.1    Dimirovski, G.M.2
  • 42
    • 41949136157 scopus 로고    scopus 로고
    • On stability, and L2-gain and H1 control for switched systems
    • Zhao, J., and Hill, D.J. (2008), 'On Stability, and L2-gain and H1 Control for Switched Systems', Automatica, 44, 1220-1232.
    • (2008) Automatica , vol.44 , pp. 1220-1232
    • Zhao, J.1    Hill, D.J.2
  • 43
    • 0035546385 scopus 로고    scopus 로고
    • Hybrid control for global stabilization of the cart-pendulum system
    • DOI 10.1016/S0005-1098(01)00164-9, PII S0005109801001649
    • Zhao, J., and Spong, M.W. (2001), 'Hybrid Control for Global Stabilisation of Cart-pendulum System', Automatica, 37, 1941-1951. (Pubitemid 32951290)
    • (2001) Automatica , vol.37 , Issue.12 , pp. 1941-1951
    • Zhao, J.1    Spong, Mark.W.2
  • 44
    • 50949094730 scopus 로고    scopus 로고
    • Output feedback control of saturated discrete-time linear systems using parameter-dependent lyapunov functions
    • Zheng, Q., and Wu, F. (2008), 'Output Feedback Control of Saturated Discrete-time Linear Systems using Parameter-dependent Lyapunov Functions', Systems and Control Letters, 57, 896-903.
    • (2008) Systems and Control Letters , vol.57 , pp. 896-903
    • Zheng, Q.1    Wu, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.