Lyapunov-Based Model Predictive Control of Nonlinear Systems Subject to Data Losses

被引：215

作者：

Munoz de la Pena, David ^{[1
]}

Christofides, Panagiotis D. ^{[1
,2
]}

机构：

[1] Univ Calif Los Angeles, Dept Chem & Biomol Engn, Los Angeles, CA 90095 USA

[2] Univ Calif Los Angeles, Dept Elect Engn, Los Angeles, CA 90095 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2008年 / 53卷 / 09期

基金：

美国国家科学基金会;

关键词：

Fault-tolerant control systems; networked control systems (NCS); predictive control for nonlinear systems; process control applications;

D O I：

10.1109/TAC.2008.929401

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 work, we focus on model predictive control of nonlinear systems subject to data losses. The motivation for considering this problem is provided by wireless networked control systems and control of nonlinear systems under asynchronous measurement sampling. In order to regulate the state of the system towards an equilibrium point while minimizing a given performance index, we propose a Lyapunov-based model predictive controller which is designed taking data losses explicitly into account, both in the optimization problem formulation and in the controller implementation. The proposed controller allows for an explicit characterization of the stability region and guarantees that this region is an invariant set for the closed-loop system under data losses, if the maximum time in which the loop is open is shorter than a given constant that depends on the parameters of the system and the Lyapunov-based controller that is used to formulate the optimization problem. The theoretical results are demonstrated through a chemical process example.

引用

页码：2076 / 2089

页数：14