Title :
The batch evaporator: A case study of target control for hybrid systems using level set methods
Author :
Trontis, Anastasios ; Spathopoulos, Michael P.
Author_Institution :
Dept. of Mech. Eng., Strathclyde Univ., Glasgow, UK
Abstract :
The batch evaporator is employed as a benchmark example of supervisory control synthesis for hybrid systems. The control objective is the design of an emergency shut-down sequence. The specification is translated into a target control problem on hybrid automata and a switching controller is proposed such that all the trajectories of the controlled automaton, which initiate from a given initial set in the state space, reach a target set. The problem is studied in a straightforward manner, through reachability analysis, considering nonlinear continuous dynamics. Level set methods are utilized, where the boundary of the reachable set is characterized as the zero level set of the viscosity solution of a Hamilton-Jacobi equation.
Keywords :
automata theory; batch processing (industrial); control system synthesis; evaporation; nonlinear dynamical systems; process control; reachability analysis; safety systems; Hamilton-Jacobi equation; batch evaporator; controlled automaton; emergency shut-down sequence design; hybrid automata; hybrid systems; level set methods; nonlinear continuous dynamics; reachability analysis; reachable set boundary; state space; supervisory control synthesis; switching controller; target control; target control problem; target set; viscosity solution; zero level set; Automata; Automatic control; Control system synthesis; Control systems; Level set; Reachability analysis; State-space methods; Supervisory control; Trajectory; Viscosity;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184748
