Title :
Control of Rectangular Multi-Affine Hybrid Systems
Author :
Habets, L.C.G.J.M. ; Kloetzer, M. ; Belta, C.
Author_Institution :
Dept. of Math. & Comput. Sci., Technische Universiteit Eindhoven
Abstract :
We study the problem of feedback control for a class of non-linear hybrid systems characterized by rectangular invariants and multi-affine dynamics, which we call rectangular multi-affine hybrid systems. The goal is to find initial states and feedback control strategies so that all trajectories of the closed loop system satisfy arbitrary specifications given as temporal logic formulas over the set of discrete states of the system. Sufficient conditions for solvability are obtained in terms of sets of linear inequalities. If these conditions are satisfied, a control strategy is automatically constructed. The computation consists of polyhedral set operations, construction of Buchi automata from linear temporal logic formulas, and searches on graphs
Keywords :
automata theory; closed loop systems; discrete systems; feedback; invariance; nonlinear control systems; set theory; temporal logic; Buchi automata; closed loop system; feedback control; linear inequalities; linear temporal logic; multiaffine dynamics; nonlinear hybrid system; polyhedral set operation; rectangular invariants; rectangular multiaffine hybrid systems; solvability; Automata; Automatic control; Biological system modeling; Control system synthesis; Control systems; Feedback control; Genetics; Logic circuits; Sufficient conditions; Vehicle dynamics;
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.2006.377081
