S22  Mecatrônica
 
 Title:
ROBUSTLY CONTRACTIVE POLYHEDRA FOR UNCERTAIN LINEAR SYSTEMS WITH SATURATING CONTROLS
 
Summary :
THIS PAPER PRESENTS NEW NECESSARY AND SUFFICIENT CONDITIONS FOR COMPACT POLYHEDRAL SETS BE ROBUSTLY CONTRACTIVE WITH RESPECT TO UNCERTAIN DISCRETE-TIME LINEAR SYSTEMS WITH SATURATING CONTROL INPUTS.BASED ON LINEAR PROGRAMMING FORMULATION OF THESE CONDITIONS, AN EFFECTIVE PROCEDURE IS PROPOSED FOR CONSTRUCTION OF ROBUSTLY CONTRACTIVE POLYHEDRAL SETS WITH NONEMPTY INTERSECTION WITH THE REGION OF NONLINEAR BEHAVIOR OF THE CLOSED-LOOP SYSTEM. THE PROCEDURE STARTS WITH THE SUPREMAL ROBUSTLY CONTRACTIVE SET CONTAINED IN THE REGION OF LINEAR BEHAVIOR AND PROGRESSIVELY EXPANDS IT OVER THE REGION OF NONLINEAR BEHAVIOR. KEYWORDS: UNCERTAIN LINEAR SYSTEMS; DISCRETE-TIME SYSTEMS, ROBUSTLY CONTRACTIVE SETS; SATURATING CONTROLS; LINEAR PROGRAMMING.  
 
Author :
Assis, Wânderson Oliveira
Coelho, Alessandra Dutra
Milani, Basílio E.A.
 
 
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