Real-time estimation for switched linear systems

被引：18

作者：

Fliess, Michel ^{[1
]}

Join, Cedric ^{[2
]}

Perruquetti, Wilfrid ^{[3
]}

机构：

[1] Ecole Polytech, INRIA ALIEN, CNRS, UMR7161 LIX, F-91128 Palaiseau, France

[2] Univ Nancy, INRIA ALIEN, CNRS, CRAN UMR 7039, F-54506 Vandoeuvre Les Nancy, France

[3] CNRS, INRIA ALIEN, Ecole Cent Lille, LAGIS UMR 8146, F-59651 Villeneuve Dascq, France

来源：

47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年

关键词：

Linear systems; switching systems; hybrid systems; state estimation; switching signal estimation; numerical differentiation;

D O I：

10.1109/CDC.2008.4739053

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We extend previous works on real-time estimation, via algebraic techniques, to the recovering of the switching signal and of the state for switching linear systems. We characterize also singular inputs for which the switched systems become undistinguishable. Several convincing numerical experiments are illustrating our techniques which are easily implementable.

引用

页码：941 / 946

页数：6

共 42 条

[1] Lie-algebraic stability criteria or switched systems [J].

Agrachev, AA ;

Liberzon, D .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 40 (01) :253-269

[2]

Alessandri A., 2001, P AM CONTR C ARL VA, P25

[3]

[Anonymous], P 7 IFAC S NONL CONT

[4]

[Anonymous], THESIS

[5] Stability and controllability of planar, conewise linear systems [J].

Arapostathis, Ari ;

Broucke, Mireille E. .

SYSTEMS & CONTROL LETTERS, 2007, 56 (02) :150-158

[6]

Babaali M, 2005, LECT NOTES COMPUT SC, V3414, P103

[7] Stability of planar switched systems: The linear single input case [J].

Boscain, U .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (01) :89-112

[8]

Bourdais R., 2006, ACT C INT FRANC AUT

[9]

Branicky M.S., 1994, P 33 IEEE C DEC CONT

[10] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

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