Title :
Stabilization of bilinear continuous-time systems
Author :
Athanasopoulos, Nikolaos ; Bitsoris, George ; Vassilaki, Marina
Abstract :
In this paper, the stabilization problem of continuous-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to quadratic autonomous nonlinear systems are established. Then these results are used for the determination of linear state-feedback constrained and unconstrained control laws making a prespecified polyhedral set domain of attraction of the resulting closed-loop system.
Keywords :
bilinear systems; closed loop systems; continuous time systems; control system synthesis; state feedback; bilinear continuous time system; closed loop system; linear state feedback constrained control; linear state feedback unconstrained control; polyhedral set; positive invariance; quadratic autonomous nonlinear system; Aerospace electronics; Asymptotic stability; Linear matrix inequalities; Lyapunov method; Mercury (metals); Nonlinear systems; Optimization;
Conference_Titel :
Control & Automation (MED), 2010 18th Mediterranean Conference on
Conference_Location :
Marrakech
Print_ISBN :
978-1-4244-8091-3
DOI :
10.1109/MED.2010.5547708
