Title :
Robust output feedback stabilisation for uncertain systems
Author :
Ouyang, H. ; Wang, J. ; Huang, L.
Abstract :
The problem of robust stabilisation is considered for uncertain systems using linear static output feedback (SOF) controllers and linear dynamical output feedback (DOF) controllers with fixed order. The existence conditions of output feedback controllers are given by matrix inequalities and result in some nonlinear optimisation problems. A class of uncertain plants whose nominal systems are minimal phase with a full row rank can be robustly stabilised by an SOF controller and DOF controller with any order, and controllers can be obtained by solving some linear matrix inequalities (LMIs). The method is demonstrated by two numerical examples
Keywords :
control system synthesis <uncertain systs., robust output feedback stabil.>; feedback <uncertain systs., robust output feedback stabil.>; linear matrix inequalities <uncertain systs., robust output feedback stabil.>; optimisation <uncertain systs., robust output feedback stabil.>; robust control <uncertain systs., robust output feedback stabil.>; stability criteria <uncertain systs., robust output feedback stabil.>; uncertain systems <robust output feedback stabil.>; LMIs; existence conditions; fixed order; linear dynamical output feedback controllers; linear static output feedback controllers; matrix inequalities; minimal phase nominal systems; nonlinear optimisation problems; numerical examples; robust output feedback stabilisation; uncertain systems;
Journal_Title :
Control Theory and Applications, IEE Proceedings -
DOI :
10.1049/ip-cta:20030759
