Energy-predictive control: a new synthesis approach for nonlinear process control

被引:22
作者
Kazantzis, N [1 ]
Kravaris, C [1 ]
机构
[1] Univ Michigan, Dept Chem Engn, Ann Arbor, MI 48109 USA
基金
美国国家科学基金会;
关键词
nonlinear systems; energy-predictive control; nonlinear state feedback; Lyapunov function; stability region; dynamic output feedback;
D O I
10.1016/S0009-2509(98)00499-0
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The present work proposes a new controller synthesis framework, that is based on the methodological principles of Lyapunov design. A notion of short-horizon energy-predictive control is introduced, that predicts and optimizes the rate of energy dissipation of the system and leads to the derivation of a continuous state feedback control law. The control law possesses two adjustable parameters that directly influence the size of the closed-loop stability region and the performance characteristics. The derived state feedback law may be combined with an open-loop state observer, leading to a dynamic output feedback controller with integral action. Finally, the performance of the proposed controller design methodology is evaluated in a chemical reactor example, that exhibits nonminimum-phase characteristics. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1697 / 1709
页数:13
相关论文
共 23 条
[1]   STABILIZATION WITH RELAXED CONTROLS [J].
ARTSTEIN, Z .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (11) :1163-1173
[2]   INTERNAL MODEL CONTROL .5. EXTENSION TO NONLINEAR-SYSTEMS [J].
ECONOMOU, CG ;
MORARI, M ;
PALSSON, BO .
INDUSTRIAL & ENGINEERING CHEMISTRY PROCESS DESIGN AND DEVELOPMENT, 1986, 25 (02) :403-411
[3]   Inverse optimality in robust stabilization [J].
Freeman, RA ;
Kokotovic, PV .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1996, 34 (04) :1365-1391
[4]   INTERNAL MODEL CONTROL .1. A UNIFYING REVIEW AND SOME NEW RESULTS [J].
GARCIA, CE ;
MORARI, M .
INDUSTRIAL & ENGINEERING CHEMISTRY PROCESS DESIGN AND DEVELOPMENT, 1982, 21 (02) :308-323
[5]   MODEL PREDICTIVE CONTROL - THEORY AND PRACTICE - A SURVEY [J].
GARCIA, CE ;
PRETT, DM ;
MORARI, M .
AUTOMATICA, 1989, 25 (03) :335-348
[6]  
Kalman R. E., 1960, J BASIC ENG, V88, P371
[7]   A TOOLKIT FOR NONLINEAR FEEDBACK DESIGN [J].
KANELLAKOPOULOS, I ;
KOKOTOVIC, PV ;
MORSE, AS .
SYSTEMS & CONTROL LETTERS, 1992, 18 (02) :83-92
[8]  
Kravaris C, 1998, NATO ADV SCI I E-APP, V353, P115
[9]   A UNIVERSAL FORMULA FOR STABILIZATION WITH BOUNDED CONTROLS [J].
LIN, YD ;
SONTAG, ED .
SYSTEMS & CONTROL LETTERS, 1991, 16 (06) :393-397
[10]  
MARINO R, 1991, F ADAPTIVE CONTROL, P455