Control with Positivity Constraint for 2D Continuous-Time Systems in Roesser Model

Journal of control, automation and electrical systems

article

Alfidi, M.¹  Hmamed, A.²  Tadeo, F.³  Benzaouia, A.⁴ 

[1] Engineering, Systems, and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University;Department of Physics Faculty of Sciences;Department of Ingenieria de Sistemas y Automatica, Universidad de Valladolid;Faculty of Sciences Semlalia, University Cadi Ayyad

关键词: 2D continuous-time systems;    Stabilization;    Bounded controls;    Positive systems;    Positive control;    Roesser model;    Linear programming;   

DOI  :  10.1007/s40313-020-00656-y

学科分类：自动化工程

来源: Springer

【 摘 要 】

This paper deals with the stability synthesis for a class of 2D continuous-time systems described by the Roesser model. Conditions for stability and stabilization of positive continuous-time Roesser systems are derived, for which the states take non-negative values whenever the initial conditions are non-negative. As well, the synthesis of state-feedback controllers, including the requirement of positiveness of the controllers, and its extension to uncertain plants are solved in terms of linear programming. In addition, the synthesis problem with non-symmetrical bounds and stabilization are also treated. Numerical examples are included to illustrate the proposed approach.

【 授权许可】

CC BY