Controller synthesis for positive linear systems

Authors:	Ait Rami Mustapha, Universidad de Valladolid, Spain Tadeo Fernando, Universidad de Valladolid, Spain
Topic:	2.2 Linear Control Systems
Session:	Analysis and Synthesis of Linear Control Systems I
Keywords:	positive systems, stabilization, uncertain systems, bounded controls,linear programming.

Abstract

This paper solves some synthesis problems for a class of linearsystems, to enforce the closed-loop states to take nonnegativevalues whenever the initial conditions are nonnegative. Inparticular the following three problems are studied: the synthesisof state-feedback controllers for positive closed-loop systems,including the requirement of positiveness for the controller, theextension to uncertain plants and the presence of control signalsthat are positively bounded. The provided conditions are solvablein terms of Linear Programming Problems.