Title :
Hybrid control systems and comprehensive Grobner bases
Author :
Forsman, Krister
Author_Institution :
ABB Corp. Res., Lund, Sweden
Abstract :
A class of hybrid systems that can be modeled by polynomial differential equations is investigated. By a hybrid system we mean a system which mixes continuous and discrete variables. All variables in the system have the same time scale. The polynomial models have the advantage that constructive methods are available for system analysis. One such method that occurs naturally in this context is so called comprehensive Grobner bases
Keywords :
continuous time systems; control system analysis; discrete time systems; modelling; polynomials; symbol manipulation; Grobner bases; continuous variables; discrete variable; dynamical systems; hybrid control systems; polynomial differential equations; polynomial models; symbol manipulation; Control design; Control systems; Difference equations; Differential equations; Electrical equipment industry; Input variables; Nonlinear equations; Switches; Switching circuits; Voltage;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411585