Time domain constrained H∞-synthesis

被引:13
作者
Apkarian, Pierre [2 ]
Ravanbod-Hosseini, Laleh [1 ]
Noll, Dominikus [1 ]
机构
[1] Univ Toulouse 3, Inst Math, F-31062 Toulouse, France
[2] Off Natl Etud & Rech Aerosp, Dept Syst Control & Flight Dynam, Toulouse, France
关键词
H-infinity control; structured control laws; time domain performance specification; frequency domain performance specification; non-smooth optimization; LINEAR PROGRAMMING METHOD; NONSMOOTH OPTIMIZATION; SEARCH FUNCTION; CONTROL DESIGN; WILSON; MATRIX; POWELL; HAN;
D O I
10.1002/rnc.1589
中图分类号
TP [自动化技术、计算机技术];
学科分类号
080201 [机械制造及其自动化];
摘要
Structured H-infinity-synthesis subject to time domain performance specifications is introduced. Our method allows to control trajectories of the linearized system and the underlying nonlinear dynamics simultaneously. A non-smooth bundle optimization method for this class of programs is proposed and discussed. Our approach is tested against two benchmark studies: control of a rotational actuator to attenuate vibration noise, and control of a continuous crystallizer. Our algorithm gives a local convergence certificate and is suited for systems with large state dimension. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码:197 / 217
页数:21
相关论文
共 35 条
[1]
[Anonymous], P 47 IEEE C DEC CONT
[2]
A trust region spectral bundle method for nonconvex eigenvalue optimization [J].
Apkarian, P. ;
Noll, D. ;
Prot, O. .
SIAM JOURNAL ON OPTIMIZATION, 2008, 19 (01) :281-306
[3]
Mixed H2/H∞ control via nonsmooth optimization [J].
Apkarian, P. ;
Noll, D. ;
Rondepierre, A. .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (03) :1516-1546
[4]
Controller design via nonsmooth multidirectional search [J].
Apkarian, P ;
Noll, D .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 44 (06) :1923-1949
[5]
Nonsmooth H∞ synthesis [J].
Apkarian, P ;
Noll, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (01) :71-86
[6]
Non-smooth structured control design with application to PID loop-shaping of a process [J].
Apkarian, Pierre ;
Bompart, Vincent ;
Noll, Dominikus .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2007, 17 (14) :1320-1342
[7]
Nonsmooth optimization for multiband frequency domain control design [J].
Apkarian, Pierre ;
Noll, Dominikus .
AUTOMATICA, 2007, 43 (04) :724-731
[8]
Nonsmooth optimization for multidisk H∞ synthesis [J].
Apkarian, Pierre ;
Noll, Dominikus .
EUROPEAN JOURNAL OF CONTROL, 2006, 12 (03) :229-244
[9]
Time-Domain Control Design: A Nonsmooth Approach [J].
Apkarian, Pierre ;
Noll, Dominikus ;
Simoes, Alberto M. .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2009, 17 (06) :1439-1445
[10]
ON COMPUTING THE WORST-CASE PEAK GAIN OF LINEAR-SYSTEMS [J].
BALAKRISHNAN, V ;
BOYD, S .
SYSTEMS & CONTROL LETTERS, 1992, 19 (04) :265-269