Title :
Robust stabilization of discrete-time systems
Author :
Hoagg, Jesse B. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
This paper considers the robust stabilization of single-input single-output (SISO) linear shift-invariant discrete-time systems. A non-minimal state-space realization is used to transform the original SISO system into a higher order realization with full-state measurement without knowledge of the system parameters. Robust stabilization is achieved using a weighted least squares optimization with the stability constraint implemented as linear matrix inequalities.
Keywords :
discrete time systems; least squares approximations; linear matrix inequalities; linear systems; optimisation; robust control; discrete-time systems; linear matrix inequalities; nonminimal state-space realization; robust stabilization; single-input single-output linear shift-invariant systems; weighted least squares optimization; Aerodynamics; Constraint optimization; Control system synthesis; Discrete transforms; Least squares methods; Linear matrix inequalities; Polynomials; Robust stability; Robustness; Sufficient conditions;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428745
