Title :
A Scheduling Algorithm for Constrained Control Systems: An Approach Based on a Parameter Dependent Lyapunov Function
Author :
Wada, Nobutaka ; Saeki, Masami
Author_Institution :
Hiroshima Univ., Hiroshima
Abstract :
We propose a gain-scheduling control algorithm for locally stabilizing a discrete-time linear system with input saturation. The proposed control law has a structure that a high-gain control law and a low-gain control law are interpolated by using a single scheduling parameter. The closed-loop stability is guaranteed by using a parameter dependent Lyapunov function (PDLF). The scheduling parameter is computed on-line by solving a convex optimization problem with LMI constraints.
Keywords :
Lyapunov methods; closed loop systems; convex programming; discrete time systems; linear matrix inequalities; linear systems; scheduling; stability; LMI constraints; closed-loop stability; constrained control systems; convex optimization problem; discrete-time linear system; gain-scheduling control algorithm; parameter dependent Lyapunov function; scheduling algorithm; single scheduling parameter; Asymptotic stability; Cities and towns; Constraint optimization; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Processor scheduling; Scheduling algorithm;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282291
