Hybrid stabilization of planar linear systems with one-dimensional outputs

被引：9

作者：

Benassi, C ^{[1
]}

Gavioli, A ^{[1
]}

机构：

[1] Univ Modena, Dipartimento Matemat Pura & Applicata, I-41100 Modena, Italy

来源：

SYSTEMS & CONTROL LETTERS | 2002年 / 46卷 / 05期

关键词：

hybrid system; automaton; transition map; stabilization;

D O I：

10.1016/S0167-6911(02)00126-3

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 consider a linear control system x' = Ax + Bu with output y = Cx, where x is an element of R-2, u, y is an element of R, and give necessary and sufficient conditions in order that it can be stabilized by a hybrid, linear feedback, where the action of the "switch" just depends on the sign of y. We also show, on these conditions, that the use of two control functions is enough for getting the goal. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：303 / 309

页数：7

共 11 条

[1]

Alur R., 1992, LECTURE NOTES COMPUT, V736, P209, DOI [DOI 10.1007/3-540-57318-6_30, 10.1007/3-540-45027-0_11, DOI 10.1007/3-540-45027-0_11]

[2]

Amann H, 1990, DEGRUYTER STUDIES MA, V13

[3]

ANCONA F, 1998, PATCHY VECTOR FIELDS

[4]

ARTSTEIN Z, 1995, EXAMPLES STABILIZATI

[5]

BONARA C, 1996, THESIS U MODERNA ITA

[6] Asymptotic controllability implies feedback stabilization [J].

Clarke, FH ;

Ledyaev, YS ;

Sontag, ED ;

Subbotin, AI .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (10) :1394-1407

[7] Robust stabilizing control laws for a class of second-order switched systems [J].

Hu, B ;

Xu, XP ;

Antsaklis, PJ ;

Michel, AN .

SYSTEMS & CONTROL LETTERS, 1999, 38 (03) :197-207

[8]

NERODE A, 1993, LECTURE NOTES COMPUT, V736, P317

[9]

SONTAG ED, 1990, TEXTS APPL MATH, V6

[10]

XU X, 1999, P 14 IFAC WORLD C BE, VC, P181

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