Title :
A combinatorial game approach to state nullification by hybrid feedback
Author_Institution :
Univ. of Pennsylvania, Philadelphia
Abstract :
We define a combinatorial game such that a winning strategy for it gives a logic-based feedback strategy that steers the state of single-input-single-output, discrete-time, time-varying, n-step controllable systems to the origin in a finite number of steps (where n is the dimension of the system). The feedback strategy is robust with respect to disturbances that satisfy a matching condition. A winning strategy for the game is given and a construction of a hybrid feedback strategy that uses it is displayed.
Keywords :
combinatorial mathematics; controllability; discrete time systems; game theory; state feedback; time-varying systems; combinatorial game approach; discrete-time system; hybrid feedback state nullification; logic-based feedback strategy; n-step controllable systems; single-input-single-output system; time-varying system; winning strategy; Computer applications; Control systems; Digital control; Equations; Game theory; Output feedback; Robustness; State feedback; Time varying systems; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434194
