Digital control of continuous-time switching systems with safety constraints

被引:6
作者
De Santis, E [1 ]
Di Benedetto, MD [1 ]
Pola, G [1 ]
机构
[1] Univ Aquila, Ctr Excellence DEWS, Dept Elect Engn, I-67040 Laquila, Italy
来源
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5 | 2004年
关键词
switching systems; safety; stabilizability; digital controller;
D O I
10.1109/CDC.2004.1430321
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Relations between safe sets for a continuous-time switching system S and an appropriate discrete-time switching system associated with S are established. Exploiting these relations, the maximal controlled invariant set for the continuous-time switching system can be arbitrarily closely approximated by an appropriate controlled invariant set for the discretized switching system. Moreover, the safety control problem in a continuous time domain is reduced to a safety problem in a discrete time domain.
引用
收藏
页码:1878 / 1883
页数:6
相关论文
共 21 条
[1]  
Aubin JP., 1991, Viability Theory
[2]  
BAYEN AM, 2002, LECT NOTES COMPUTER, V2289
[3]   Observability and controllability of piecewise affine and hybrid systems [J].
Bemporad, A ;
Ferrari-Trecate, G ;
Morari, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (10) :1864-1876
[4]  
Berardi L, 2000, LECT NOTES COMPUT SC, V1790, P59
[5]  
BERARDI L, 2001, EUR CONTR C PORT SEP, P803
[6]  
BERARDI L, 1999, 38 IEEE C DEC CONTR
[7]   Set invariance in control [J].
Blanchini, F .
AUTOMATICA, 1999, 35 (11) :1747-1767
[8]  
De Santis E, 2002, P AMER CONTR CONF, V1-6, P1216, DOI 10.1109/ACC.2002.1023185
[9]   Computation of maximal safe sets for switching systems [J].
De Santis, E ;
Di Benedetto, MD ;
Berardi, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (02) :184-195
[10]   Perspectives and results on the stability and stabilizability of hybrid systems [J].
DeCarlo, RA ;
Branicky, MS ;
Pettersson, S ;
Lennartson, B .
PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082