Title :
Global analysis of a continuous-time flow which computes time-optimal switchings
Author :
Grognard, F. ; Sepulchre, R.
Author_Institution :
Center for Syst. Eng. & Appl. Mech., Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium
Abstract :
The minimum-time bounded control of linear systems is generically bang-bang and the number of switchings does not exceed the dimension of the system if the eigenvalues of the system matrix are real. This paper proposes a synthesis method for such problems based on dynamical systems that ´compute´ the optimal sequence of switching times
Keywords :
bang-bang control; control system synthesis; eigenvalues and eigenfunctions; linear systems; matrix algebra; time optimal control; bang-bang control; continuous-time flow; control system synthesis; eigenvalues; global analysis; linear systems; minimum-time bounded control; system matrix; time-optimal switchings; Control system synthesis; Control systems; Convergence; Eigenvalues and eigenfunctions; Iterative algorithms; Iterative methods; Linear systems; Optimal control; Strain control; Systems engineering and theory;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980460
