Title :
Optimal control analysis on a class of hybrid systems with impulses and switches
Author :
Gao, Rui ; Liu, Yungang
Author_Institution :
Sch. of Control Sci. & Eng., Shandong Univ., Ji´´nan, China
Abstract :
Towards a special class of hybrid systems, the hybrid systems with impulses and switches, a global optimal control problem with free system terminal states is proposed in this paper. Based on this problem, the necessary condition is studied, and then the HISS´ minimum principle is obtained. In the proof of the above theorem, the general variational methods and matrix cost functional formulations are employed. In the end of the paper, a special linear HISS is illustrated and the optimal control is obtained by calculation.
Keywords :
matrix algebra; optimal control; variational techniques; HISS minimum principle; free system terminal states; general variational methods; global optimal control problem; hybrid systems; matrix cost functional formulations; necessary condition; optimal control analysis; Control system analysis; Control system synthesis; Control systems; Cost function; Dynamic programming; Manufacturing processes; Optimal control; Optimization methods; Switches; Switching systems; Free terminal states; Hybrid systems; matrix cost functional; optimal control;
Conference_Titel :
Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-4754-1
Electronic_ISBN :
978-1-4244-4738-1
DOI :
10.1109/ICICISYS.2009.5357960
