Title :
Optimal control in novel state derivative space system
Author_Institution :
Dept. of Electr. Eng., I-Shou Univ., Kaohsiung, Taiwan
Abstract :
There are two major problems that people usually have to face when they carry out optimal control designs in state space system or descriptor system. One is no state derivative considered in cost functional, the other is that some systems cannot easily design optimal control in either state space system or generalized system frameworks. To overcome the problems, a novel state derivative space system (SDS system) framework is proposed. In this novel framework, novel differential Lagrange multiplier should be used to adjoin SDS system constraint to the cost functional that is function of state derivative to straightforwardly carry out optimal control design. It showed that some singular systems with impulse mode can easily carry out optimal control in SDS system. The purpose of this research is to develop novel and simple optimal control algorithms in SDS system so that wider ranges of problems can be solved without much of mathematics overhead.
Keywords :
control system synthesis; differentiation; singular optimal control; state-space methods; SDS system; cost functional; descriptor system; differential Lagrange multiplier; optimal control design; state derivative space system; state space system; Aerospace electronics; Algorithm design and analysis; Conferences; Control design; Optimal control; Standards; Vectors; descriptor system; differential Lagrange multiplier; optimal control; reciprocal state space system; state derivative space system;
Conference_Titel :
Industrial Electronics and Applications (ICIEA), 2012 7th IEEE Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-2118-2
DOI :
10.1109/ICIEA.2012.6360755