On Constrained Stabilization of Discrete-time Linear Systems

被引:0
作者
Athanasopoulos, Nikolaos [1 ]
Doban, Alina I. [1 ]
Lazar, Mircea [1 ]
机构
[1] Eindhoven Univ Technol, NL-5600 MB Eindhoven, Netherlands
来源
2013 21ST MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | 2013年
关键词
FEEDBACK-CONTROL; BOUNDED CONTROLS; ADMISSIBLE-SETS; DYNAMIC-SYSTEMS; POLYHEDRAL-SETS; STATE;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The concepts of controlled (k, lambda)-contractive sets and set-induced finite-time control Lyapunov functions are introduced in this paper. These tools are then employed to derive new synthesis methods for constrained stabilization of linear systems. Two classes of state-feedback control strategies are proposed, namely, periodic conewise linear control laws and periodic vertex-interpolation control laws. The benefits of these synthesis methods are demonstrated for the constrained stabilization of a DC-DC buck converter.
引用
收藏
页码:831 / 839
页数:9
相关论文
共 22 条
[1]   Invariant set computation for constrained uncertain discrete-time linear systems [J].
Athanasopoulos, Nikolaos ;
Bitsoris, George .
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :5227-5232
[3]  
BITSORIS G, 1991, CONTR-THEOR ADV TECH, V7, P407
[4]   ULTIMATE BOUNDEDNESS CONTROL FOR UNCERTAIN DISCRETE-TIME-SYSTEMS VIA SET-INDUCED LYAPUNOV FUNCTIONS [J].
BLANCHINI, F .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (02) :428-433
[5]   Set invariance in control [J].
Blanchini, F .
AUTOMATICA, 1999, 35 (11) :1747-1767
[6]  
BLANCHINI F, 1995, INT J CONTROL, V62, P601, DOI 10.1080/00207179508921559
[7]  
Blanchini F., 2008, IFAC WORLD C SEOUL, p14 324
[8]  
Blanchini F., 1992, 31 IEEE C DEC CONTR, P2629
[9]  
Blanchini F, 2008, SYST CONTROL-FOUND A, P1
[10]   (A, B)-invariant polyhedral sets of linear discrete-time systems [J].
Dórea, CET ;
Hennet, JC .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 103 (03) :521-542