Title :
Constrained H∞ control for discrete-time LPV systems using interpolation
Author :
Péni, Tamas ; Kulcsár, Balázs ; Bokor, József ; Verhaegen, Michel
Author_Institution :
Comput. Autom. Res. Inst., Hungarian Acad. of Sci., Budapest, Hungary
Abstract :
The paper proposes an interpolation based control method as a possible solution to the constrained H∞ control of discrete-time, linear parameter varying (LPV) systems. The control policy is constructed by interpolating among a priori designed, unconstrained state feedback controllers. The predefined H∞ performance level remains guaranteed under hard state and input constrains. By applying invariant set theory it is also shown that the domain of applicability of the proposed control method is significantly larger than that can be achieved by any, single state feedback.
Keywords :
H∞ control; control system synthesis; discrete time systems; interpolation; linear systems; set theory; state feedback; H∞ control; discrete-time LPV systems; interpolation based control method; invariant set theory; linear parameter varying systems; unconstrained state feedback controllers; Automatic control; Control systems; Interpolation; Linear matrix inequalities; Nonlinear control systems; Nonlinear systems; Optimal control; Robust control; Set theory; State feedback;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738674