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

被引:0
|
作者
M. Alfidi
A. Hmamed
F. Tadeo
A. Benzaouia
机构
[1] Sidi Mohamed Ben Abdellah University,Engineering, Systems, and Applications Laboratory, National School of Applied Sciences
[2] LESSI,LAEPT
[3] Department of Physics Faculty of Sciences,URAC 28, Faculty of Sciences Semlalia
[4] University Cadi Ayyad,Department of Ingenieria de Sistemas y Automatica
[5] Universidad de Valladolid,undefined
来源
Journal of Control, Automation and Electrical Systems | 2021年 / 32卷
关键词
2D continuous-time systems; Stabilization; Bounded controls; Positive systems; Positive control; Roesser model; Linear programming;
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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.
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页码:70 / 81
页数:11
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