Title of Paper:Linear programming-based robust model predictive control for positive systems

Hits:

Date of Publication:2016-10-10

Journal:IET CONTROL THEORY AND APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:10

Issue:15

Page Number:1789-1797

ISSN No.:1751-8644

Key Words:linear programming; robust control; predictive control; uncertain systems; Lyapunov methods; state feedback; linear programming-based robust model predictive control; uncertain positive systems; state-feedback control law; system stability; linear infinite horizon objective function; linear Lyapunov function; locally optimal control strategy

Abstract:This study investigates the problem of robust model predictive control for positive systems under a new model predictive control framework. A robust model predictive control method is presented in this study for uncertain positive systems. A state-feedback control law that robustly stabilises the underlying system is designed by using linear programming. Different from the traditional model predictive control technique, the authors' proposed model predictive control framework employs a linear infinite horizon objective function and a linear Lyapunov function rather than quadratic performance indices and quadratic Lyapunov functions commonly used in the literature. Compared with existing design techniques for positive systems, the present approach owns the following advantages: (i) it gives a locally optimal control strategy which approaches to actual operation conditions and the control law is designed by solving a locally optimal control problem at each time step, (ii) it can explicitly deal with constraints of the systems, and (iii) the controller can be easily designed via linear programming without any additional constraints. An practical example is provided to verify the validity of the theoretical findings.