Stabilisation and control synthesis of switching systems subject to actuator saturation

被引:44
作者
Benzaouia, Abdellah [1 ]
Akhrif, Ouassima [2 ]
Saydy, Lahcen [3 ]
机构
[1] Univ Cadi Ayyad, Fac Sci Semlalia, EACPI, Marrakech, Morocco
[2] Ecole Technol Super, Dept Genie Elect, Montreal, PQ H3C 1K3, Canada
[3] Ecole Polytech, Dept Elect Engn, Montreal, PQ H3C 3A7, Canada
关键词
switching systems; actuator saturations; state feedback control; output feedback control; multiple Lyapunov functions; LMIs; DISCRETE-TIME-SYSTEMS; LINEAR-SYSTEMS; STABILITY ANALYSIS; REGULATOR PROBLEM; DISTURBANCE ATTENUATION; CONSTRAINED CONTROL; LYAPUNOV FUNCTIONS; DESIGN;
D O I
10.1080/00207720903045791
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article presents sufficient conditions for the stabilisation of switching discrete-time linear systems subject to actuator saturations. These conditions are obtained by using successively state and output feedback control laws. The obtained results are formulated in terms of linear matrix inequalities (LMIs). The saturating and non-saturating controllers are synthesised for both cases in this work. Three sets of LMIs are presented for output feedback case. Numerical examples are used to illustrate these techniques by using a linear optimisation problem subject to LMI constraints.
引用
收藏
页码:397 / 409
页数:13
相关论文
共 38 条
  • [31] Controllers for reachability specifications for hybrid systems
    Lygeros, J
    Tomlin, C
    Sastry, S
    [J]. AUTOMATICA, 1999, 35 (03) : 349 - 370
  • [32] MIGNONE D, 2000, P 39 IEEE C DEC CONT
  • [33] Disturbance attenuation for systems with input saturation: An LMI approach
    Nguyen, T
    Jabbari, F
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) : 852 - 857
  • [34] Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturation
    Nguyen, T
    Jabbari, F
    [J]. AUTOMATICA, 2000, 36 (09) : 1339 - 1346
  • [35] Shorten RN, 1997, IEEE DECIS CONTR P, P3521, DOI 10.1109/CDC.1997.652394
  • [36] SHORTEN RN, 1998, P 10 YAL WORKSH AD L, P130
  • [37] Stability analysis and stabilization of systems presenting nested saturations
    Tarbouriech, S.
    Prieur, C.
    da Silva, J. M. Gomes, Jr.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (08) : 1364 - 1371
  • [38] ZHU G, 2000, P AIAA C GUID NAV CO