Stabilisation of controlled positive delayed continuous-time systems

被引:16
作者
Benzaouia, A. [1 ]
Hmamed, A. [2 ]
Tadeo, F. [3 ]
机构
[1] EACPI, Unit Res, Dept Phys, Fac Sci Semlalia, Marrakech 40000, Morocco
[2] Univ Mohamed Ben Abdellah, LESSI, Unit Res, Fac Sci Dhar EL Mhraz, Fes, Morocco
[3] Univ Valladolid, Dept Ingn Sistemas & Automat, E-47005 Valladolid, Spain
关键词
positive systems; delay systems; stabilisation; output feedback control; bounded controls; linear programming; LINEAR-SYSTEMS; STABILITY; STATE;
D O I
10.1080/00207720903353641
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 solves the stabilisation problem by output feedback control for linear continuous-time systems with delay. This technique can be applied for both positive systems and controlled positive systems (systems becoming positive in closed-loop). The synthesis of feedback controllers is solved in terms of linear programs, extending the solution also to stabilisation with bounded control and stabilisation by controllers with the memory of the delayed state. The proposed conditions do not involve the value of the delay. Some examples illustrate the proposed approach.
引用
收藏
页码:1473 / 1479
页数:7
相关论文
共 23 条
[1]  
[Anonymous], 2000, PUR AP M-WI
[2]   APPLICATION OF M-MATRICES TO STABILITY PROBLEMS OF COMPOSITE DYNAMICAL-SYSTEMS [J].
ARAKI, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 52 (02) :309-321
[3]  
Berman A., 1989, Nonnegative matrices in dynamic systems, V3
[4]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[5]   Stabilization of positive linear systems [J].
De Leenheer, P ;
Aeyels, D .
SYSTEMS & CONTROL LETTERS, 2001, 44 (04) :259-271
[6]   Control for stability and positivity: Equivalent conditions and computation [J].
Gao, HJ ;
Lam, J ;
Wang, CH ;
Xu, SY .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (09) :540-544
[7]   Survey on recent results in the stability and control of time-delay systems [J].
Gu, KQ ;
Niculescu, SI .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2003, 125 (02) :158-165
[8]   Dissipativity theory for nonnegative and compartmental dynamical systems with time delay [J].
Haddad, WA ;
Chellaboina, VS ;
Rajpurohit, T .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :747-751
[9]   REGULATOR PROBLEM FOR LINEAR CONTINUOUS-TIME DELAY SYSTEMS WITH NONSYMMETRICAL CONSTRAINED CONTROL [J].
HMAMED, A ;
BENZAOUIA, A ;
BENSALAH, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (09) :1615-1619
[10]   Constrained regulation of linear discrete-time systems with time delay: delay-dependent and delay-independent conditions [J].
Hmamed, A .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (04) :529-536