A necessary and sufficient condition for input-output realization of switched affine state space models

被引:5
作者
Paoletti, Simone [1 ]
Garulli, Andrea [1 ]
Roll, Jacob [2 ]
Vicino, Antonio [1 ]
机构
[1] Univ Siena, Dipartimento Ingn Informaz, Via Roma 56, I-53100 Siena, Italy
[2] Linkoping Univ, Div Automat Control, SE-58183 Linkoping, Sweden
来源
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年
关键词
D O I
10.1109/CDC.2008.4739176
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 paper presents a necessary and sufficient condition under which a discrete-time switched affine (SWA) state space model admits equivalent representations in the class of SWA input-output models. In particular, it is shown that observability is not a necessary requirement for input-output realization of SWA models. When an equivalent input-output representation exists, a constructive procedure is presented to derive both its parameters and the switching constraints. Numerical examples illustrate and motivate the presented equivalence result.
引用
收藏
页码:935 / 940
页数:6
相关论文
共 13 条
  • [1] On the observability of piecewise linear systems
    Babaali, M
    Egerstedt, M
    [J]. 2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 26 - 31
  • [2] Observability and controllability of piecewise affine and hybrid systems
    Bemporad, A
    Ferrari-Trecate, G
    Morari, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (10) : 1864 - 1876
  • [3] Equivalence of hybrid dynamical models
    Heemels, WPMH
    De Schutter, B
    Bemporad, A
    [J]. AUTOMATICA, 2001, 37 (07) : 1085 - 1091
  • [4] Lang Serge, 1993, REAL FUNCTIONAL ANAL
  • [5] Expectation maximization algorithms for MAP estimation of jump Markov linear systems
    Logothetis, A
    Krishnamurthy, V
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1999, 47 (08) : 2139 - 2156
  • [6] Paoletti S., 2007, P 46 IEEE C DEC CONT, P3164
  • [7] Identification of hybrid systems - A tutorial
    Paoletti, Simone
    Juloski, Aleksandar Lj.
    Ferrari-Trecate, Giancarlo
    Vidal, Rene
    [J]. EUROPEAN JOURNAL OF CONTROL, 2007, 13 (2-3) : 242 - 260
  • [8] Petreczky M., 2007, P 46 IEEE C DEC CONT, P4668
  • [9] Petreczky M., 2006, P 17 INT S MATH THEO, P1275
  • [10] Realization theory for linear switched systems: Formal power series approach
    Petreczky, Mihaly
    [J]. SYSTEMS & CONTROL LETTERS, 2007, 56 (9-10) : 588 - 595