Title :
Optimal control of switching surfaces
Author :
Wardi, Y. ; Egerstedt, M. ; Boccadoro, M. ; Verriest, E.
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
This paper studies the problem of optimal switching surface design for hybrid systems. In particular, a formula is derived for computing the gradient of a given integral performance cost with respect to the switching surface parameters. The formula reflects the hybrid nature of the system in that it is based on a costate variable having a discrete element and a continuous element. A numerical example with a gradient descent algorithm suggests the potential viability of the formula in optimization.
Keywords :
continuous time systems; discrete systems; gradient methods; optimal control; optimisation; time-varying systems; continuous element; costate variable; discrete element; gradient descent algorithm; hybrid systems; integral performance cost; numerical algorithms; optimal control; optimization; switching surfaces; Cost function; Design engineering; Equations; Job shop scheduling; Manufacturing systems; Medical control systems; Medical robotics; Optimal control; State-space methods; Surface treatment;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1430317
