Title :
L∞ Bounded Robust Control for Hybrid Systems
Author :
Zhang, Huan ; James, Matthew R.
Author_Institution :
Dept. of Eng., Australian Nat. Univ., Canberra, ACT
Abstract :
This paper formulates the L∞ bounded (LIB) robustness performance for general hybrid systems described by the unified model. The LIB properties are characterized by the existence of storage functions, which further are characterized by the solutions of a system of analysis dissipation partial differential inequalities (PDIs). The LIB state feedback controller synthesis problem is defined and studied through another system of synthesis PDIs. Both analysis and synthesis PDIs are analyzed in the discontinuous viscosity solution framework
Keywords :
control system synthesis; partial differential equations; robust control; state feedback; L∞ bounded robust control; differential games; discontinuous viscosity; hybrid system; partial differential inequalities; state feedback controller synthesis; storage functions; viscosity solution; Australia; Control system synthesis; Logic design; Performance analysis; Performance gain; Robust control; State feedback; USA Councils; Uncertainty; Viscosity; LIB; System of dissipation PDIs; differential games; hybrid systems; storage functions; viscosity solutions;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.376693