Title :
State Jump Optimization for a Class of Hybrid Autonomous Systems
Author :
Attia, S.A. ; Azhmyakov, V. ; Raisch, J.
Author_Institution :
TU-Berlin, Berlin
Abstract :
In this contribution, optimization of state jumps for a class of hybrid systems is considered. Basically, the control variables to be determined are the amounts of jump in the continuous states such that a corresponding cost functional is minimized. Based on a variational approach, necessary conditions of optimality are first established. The problem is then cast as a parametric optimization problem where the gradient information is derived. Finally and under some assumptions, convergence to the optimal solution of a conceptual algorithm is established. A brief discussion on the main implementation issues is also included.
Keywords :
cost reduction; gradient methods; process control; variational techniques; cost functional minimisation; gradient information; hybrid autonomous systems; parametric optimization problem; state jump optimization; variational approach; Control systems; Convergence; Cost function; Explosions; Gradient methods; Linear systems; Materials processing; Optimization methods; Process control; State-space methods; Hybrid systems; gradient methods; optimization; state jump; switching;
Conference_Titel :
Control Applications, 2007. CCA 2007. IEEE International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-0442-1
Electronic_ISBN :
978-1-4244-0443-8
DOI :
10.1109/CCA.2007.4389433
