Title :
Observability and controllability of piecewise affine and hybrid systems
Author :
Bemporad, Alberto ; Ferrari-Trecate, Giancarlo ; Morari, Manfred
Author_Institution :
Inst. fur Autom., Swiss Fed. Inst. of Technol., Zurich, Switzerland
fDate :
6/21/1905 12:00:00 AM
Abstract :
We prove, in a constructive way, the equivalence between hybrid and piecewise affine systems. By focusing our investigation on the latter class, we show through counter-examples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixed-integer linear programming
Keywords :
controllability; integer programming; linear programming; linear systems; observability; hybrid systems; mixed-integer linear programming; piecewise affine systems; Automata; Automatic control; Control systems; Controllability; Integer linear programming; Linear systems; Observability; Piecewise linear techniques; Stability criteria; Testing;
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.1999.827980