Output Feedback Passification of Switched Continuous-Time Linear Systems Subject to Saturating Actuators

被引:6
作者
Zhao, Xiao-Qi [1 ,2 ]
Zhao, Jun [1 ,2 ]
机构
[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
基金
中国国家自然科学基金;
关键词
Switched systems; Actuator saturation; Feedback passification; Output feedback; STABILITY ANALYSIS; STABILIZATION; DELAY; PASSIVITY; DESIGN;
D O I
10.1007/s00034-014-9903-5
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper is concerned with the output feedback passification of switched continuous-time linear systems with actuation saturation. A switching law and saturated output feedback controllers with the form of quasi-linear parameter-varying are designed such that the closed-loop switched system with actuator saturation is passive, and the system state remains inside an invariant ellipsoid, which meet the requirements of passivity and saturation simultaneously. Since the system state is often unavailable, we consider the issue of how to design dynamic output feedback controllers using only partial state measurements. Moreover, the switching law is designed to depend only on the state of the dynamic output feedback controllers, which renders the switched system passivity even the subsystems are non-feedback passive. Sufficient conditions for the existence of the switching and output feedback control law are derived in terms of linear matrix inequalities. Finally, a numerical example is given to show the effectiveness of the proposed method.
引用
收藏
页码:1343 / 1361
页数:19
相关论文
共 34 条
  • [1] Control of a planar system with quantized and saturated input/output
    Cepeda, Alfonso
    Astolfi, Alessandro
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (03) : 932 - 942
  • [2] Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach
    Daafouz, J
    Riedinger, P
    Iung, C
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) : 1883 - 1887
  • [3] Output feedback control of switched nonlinear systems using multiple Lyapunov functions
    El-Farra, NH
    Mhaskar, P
    Christofides, PD
    [J]. SYSTEMS & CONTROL LETTERS, 2005, 54 (12) : 1163 - 1182
  • [4] Analysis of linear systems in the presence of actuator saturation and L2-disturbances
    Fang, HJ
    Lin, ZL
    Hu, TS
    [J]. AUTOMATICA, 2004, 40 (07) : 1229 - 1238
  • [5] A LINEAR MATRIX INEQUALITY APPROACH TO H-INFINITY CONTROL
    GAHINET, P
    APKARIAN, P
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) : 421 - 448
  • [6] Passivity of switched linear systems: Analysis and control design
    Geromel, Jose C.
    Colaneri, Patrizio
    Bolzern, Paolo
    [J]. SYSTEMS & CONTROL LETTERS, 2012, 61 (04) : 549 - 554
  • [7] Hu T., 2001, CONTROL ENGN SER
  • [8] A complete stability analysis of planar linear systems under saturation
    Hu, TS
    Lin, ZL
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04): : 498 - 512
  • [9] Computation of piecewise quadratic Lyapunov functions for hybrid systems
    Johansson, M
    Rantzer, A
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) : 555 - 559
  • [10] Passivity and feedback passification of switched discrete-time linear systems
    Li, Jiao
    Zhao, Jun
    [J]. SYSTEMS & CONTROL LETTERS, 2013, 62 (11) : 1073 - 1081