H∞ control for nonlinear descriptor systems

被引：71

作者：

Wang, HS ^{[1
]}

Yung, CF

Chang, FR

机构：

[1] Natl Taiwan Ocean Univ, Dept Guidance & Commun Technol, Chilung 202, Taiwan

[2] Natl Taiwan Univ, Dept Elect Engn, Taipei, Taiwan

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 11期

关键词：

descriptor systems; differential games; differential-algebraic equations (DAEs); dissipation inequalities;

D O I：

10.1109/TAC.2002.804465

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, we study the H(infinity) control problem for nonlinear descriptor systems governed by a set of differential-algebraic equations (DAEs) of the form Ex = F(x, w, u) z = Z(x, w, u), y = Y(x, w, u), where E is, in general, a-singular matrix. Necessary and sufficient conditions are derived for the existence of a controller solving the problem. We first give various sufficient conditions for the solvability of H(infinity) control problem for DAEs. Both state-feedback and output-feedback cases are considered. Then, necessary conditions for the output feedback control problem to be solvable are obtained in terms of two Hamilton-Jacobi inequalities,plus a weak coupling condition. Moreover, a parameterization of, a family of output feedback controllers solving the problem is also provided.

引用

页码：1919 / 1925

页数：7

共 11 条

[1]

[Anonymous], LECT NOTES CONTROL I

[2] H-INFINITY CONTROL FOR NONLINEAR-SYSTEMS WITH OUTPUT-FEEDBACK [J].

BALL, JA ;

HELTON, JW ;

WALKER, ML .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (04) :546-559

[3]

Brenan K.E., 1995, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations

[4] H-INFINITY CONTROL VIA MEASUREMENT FEEDBACK FOR GENERAL NONLINEAR-SYSTEMS [J].

ISIDORI, A ;

KANG, W .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (03) :466-472

[5] VARIATIONAL CALCULUS FOR DESCRIPTOR PROBLEMS [J].

JONCKHEERE, E .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (05) :491-495

[6] H-INFINITY CONTROL OF NONLINEAR-SYSTEMS VIA OUTPUT-FEEDBACK - CONTROLLER PARAMETERIZATION [J].

LU, WM ;

DOYLE, JC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (12) :2517-2521

[7] SOME CIRCUITS AND SYSTEMS APPLICATIONS OF SEMISTATE THEORY [J].

NEWCOMB, RW ;

DZIURLA, B .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1989, 8 (03) :235-260

[8] Bounded real lemma and H∞ control for descriptor systems [J].

Wang, HS ;

Yung, CF ;

Chang, FR .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1998, 145 (03) :316-322

[9]

WU H, 1994, IEEE DECIS CONTR P, P2772, DOI 10.1109/CDC.1994.411381

[10] HAMILTON-JACOBI EQUATION FOR DESCRIPTOR SYSTEMS [J].

XU, H ;

MIZUKAMI, K .

SYSTEMS & CONTROL LETTERS, 1993, 21 (04) :321-327

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