H∞ Controller Design for Preview and Delayed Systems

被引：49

作者：

Kojima, Akira ^{[1
]}

机构：

[1] Tokyo Metropolitan Univ, Grad Sch Syst Design, Tokyo 1910065, Japan

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 02期

关键词：

Delayed system; H-infinity control; operator Riccati equation; preview control; state-space approach; HANKEL-NORM APPROXIMATION; QUADRATIC CONTROL-PROBLEM; INPUT;

D O I：

10.1109/TAC.2014.2354911

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The H-infinity control problem of general preview/delayed systems is solved using analytic solutions of the corresponding operator Riccati equations. The solution to the problem can be applied to a broad range of input/output delayed systems and enables the handling of preview/delayed control problems. The solvability condition is characterized by the roots of the transcendental equations and the control law for the general problem is given based on a predictive compensation with an integro-differential observer. Some interpretations of typical control problems are presented based on the solvability condition and the resulting control law.

引用

页码：404 / 419

页数：16

共 28 条

[1] State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems [J].

Ball, JA ;

Mikkola, KM ;

Sasane, AJ .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (02) :531-563

[2] OBSERVER THEORY FOR TIME-DELAY SYSTEMS [J].

BHAT, KPM ;

KOIVO, HN .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (02) :266-269

[3]

FOIAS C, 1996, ROBUST CONTROL INFIN

[4] DISCRETE-TIME OPTIMAL-CONTROL OF SYSTEMS WITH UNILATERAL TIME-DELAYS [J].

FUJINAKA, T ;

ARAKI, M .

AUTOMATICA, 1987, 23 (06) :763-765

[5]

Gu GX, 1996, IEEE DECIS CONTR P, P4046

[6] An approximation theory of solutions to operator Riccati equations for H∞ control [J].

Ito, K ;

Morris, KA .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1998, 36 (01) :82-99

[7] Finite rank criteria for H∞ control of infinite-dimensional systems [J].

Kashima, Kenji ;

Yamamoto, Yutaka .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (04) :881-893

[8] H-INFINITY CONTROL WITH TRANSIENTS [J].

KHARGONEKAR, PP ;

NAGPAL, KM ;

POOLLA, KR .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1991, 29 (06) :1373-1393

[9] H∞ preview tracking in output feedback setting [J].

Kojima, A ;

Ishijima, S .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2004, 14 (07) :627-641

[10] H∞ performance of preview control systems [J].

Kojima, A ;

Ishijima, S .

AUTOMATICA, 2003, 39 (04) :693-701

← 1 2 3 →