Robust model predictive control of nonlinear process systems: Handling rate constraints

被引:18
作者
Mhaskar, Prashant [1 ]
Kennedy, Andrew B. [1 ]
机构
[1] McMaster Univ, Dept Chem Engn, Hamilton, ON L8S 4L7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
rate constraints; soft constraints; hard constraints; input constraints; model predictive control; bounded Lyapunov-based control; stability region; feasibility region;
D O I
10.1016/j.ces.2007.09.030
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
This work considers the problem of stabilization of control affine nonlinear process systems subject to constraints on the rate of change and magnitude of control inputs in the presence of uncertainty. We first handle rate constraints within a soft constraints framework. A new robust predictive controller formulation that minimizes rate constraint violation while guaranteeing stabilization and input constraint satisfaction from an explicitly characterized stability region is designed. We then derive conditions that allow for guaranteed satisfaction of hard rate constraints. Subsequently, a predictive controller is designed that ensures rate constraints satisfaction when the required conditions are satisfied, relaxing them otherwise to preserve feasibility and robust stability. The implementation of the proposed predictive controllers is illustrated via a chemical reactor example. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:366 / 375
页数:10
相关论文
共 50 条
[41]   Integrated cyberattack detection and handling for nonlinear systems with evolving process dynamics under Lyapunov-based economic model predictive control [J].
Rangan, Keshav Kasturi ;
Oyama, Henrique ;
Durand, Helen .
CHEMICAL ENGINEERING RESEARCH & DESIGN, 2021, 170 :147-179
[42]   Multiple Model Predictive Control of Nonlinear Systems [J].
Kuure-Kinsey, Matthew ;
Bequette, B. Wayne .
NONLINEAR MODEL PREDICTIVE CONTROL: TOWARDS NEW CHALLENGING APPLICATIONS, 2009, 384 :153-165
[43]   A Robust Predictive Control Design for Nonlinear Active Suspension Systems [J].
Bououden, Sofiane ;
Chadli, Mohammed ;
Karimi, Hamid Reza .
ASIAN JOURNAL OF CONTROL, 2016, 18 (01) :122-132
[44]   Asynchronous time dependent switched model predictive control for nonlinear systems considering feasibility constraints [J].
Rahdan, Ali ;
Abedi, Mostafa .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2025, 35 (01) :359-394
[45]   Stabilization of switched nonlinear systems using predictive control [J].
Mhaskar, P ;
El-Farra, NH ;
Christofides, PD .
PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, :560-565
[46]   A two-timescale neurodynamic approach to robust distributed model predictive control for nonlinear systems [J].
Qi, Wenbo ;
Zhong, Jie ;
Xu, Wenying ;
Wang, Yan .
NEUROCOMPUTING, 2024, 609
[47]   Robust model predictive control for constrained networked nonlinear systems: An approximation-based approach [J].
Wang, Tao ;
Kang, Yu ;
Li, Pengfei ;
Zhao, Yun-Bo ;
Yu, Peilong .
NEUROCOMPUTING, 2020, 418 :56-65
[48]   Robust model predictive control for piecewise affine systems [J].
Zou, Yuanyuan ;
Li, Shaoyuan .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2007, 26 (03) :393-406
[49]   Robust model predictive control for input saturated and softened state constraints [J].
Minh, VT ;
Afzulpurkar, N .
ASIAN JOURNAL OF CONTROL, 2005, 7 (03) :319-325
[50]   Robust Model Predictive Control Using Polytopic Description of Input Constraints [J].
Lee, Sang-Moon .
JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY, 2009, 4 (04) :566-569