Title :
Analysis and control with performance of piecewise affine and hybrid systems
Author :
Ferrari-Trecate, Giancarlo ; Cuzzola, Rancesco Alessandro ; Mignone, Domenico ; Morari, Manfred
Author_Institution :
Inst. fur Autom., Swiss Fed. Inst. of Technol., Zurich, Switzerland
Abstract :
In this paper we investigate some analysis and control problems with performance for discrete-time hybrid systems in the piecewise affine form. By using arguments from the dissipativity theory for nonlinear systems, we show that H∞ analysis and synthesis problems can be formulated and solved via linear matrix inequalities that take into account the switching structure of the systems. Moreover, such procedures can be generalized in order to solve both robust control problems and analysis/synthesis with other performance indices like the generalized H2 norm
Keywords :
H∞ control; control system analysis; control system synthesis; discrete time systems; matrix algebra; nonlinear control systems; performance index; robust control; H∞ analysis; H∞ synthesis; LMI; control analysis; control synthesis; discrete-time hybrid systems; dissipativity theory; generalized H2 norm; hybrid system control; linear matrix inequalities; nonlinear systems; performance indices; piecewise-affine system control; robust control problems; Control system analysis; Control systems; Ear; Hydrogen; Linear matrix inequalities; Lyapunov method; Performance analysis; Robust control; Stability; Switches;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945542
