Title :
Guaranteed cost bounds for robust stability and performance analysis of discrete-time systems
Author :
Osburn, Scot L. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
In this paper we derive new guaranteed cost bounds for robust stability and performance with real structured uncertainty for discrete-time systems. In particular, we obtain a shifted bounded real bound, a linear bound, a shifted linear bound, an inverse bound, a shifted inverse bound, and a shifted Popov bound. Several examples are used to compare these new bounds
Keywords :
control system analysis; discrete time systems; performance index; robust control; stability criteria; uncertain systems; discrete-time systems; guaranteed cost bounds; performance analysis; robust stability; shifted Popov bound; shifted bounded real bound; shifted inverse bound; shifted linear bound; structured uncertainty; Control system synthesis; Costs; Frequency; Lyapunov method; Performance analysis; Riccati equations; Robust stability; Stability analysis; Symmetric matrices; Uncertainty;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833340
