Title :
An order-reduction approach for singular linear quadratic problem
Author :
Wang, Qinghong ; Lin, Ching-Fang
Author_Institution :
American GNC Corp., Chatsworth, CA, USA
Abstract :
A systematical transformation procedure for determining non-negativity and optimal control of a singular quadratic cost functional is introduced as an alternative to the existing transformation approaches. An order-reduction algorithm for singular linear quadratic problems is derived using the Riccati-like linear matrix inequality. The algorithm recursively yields a test of a set of simple algebraic conditions, and unifies the singular, partially singular, and non-singular problems
Keywords :
control system analysis; matrix algebra; optimal control; Riccati-like linear matrix inequality; cost functional; optimal control; order-reduction; singular linear quadratic problem; Control theory; Cost function; Linear matrix inequalities; Optimal control; Performance analysis; Regulators; Riccati equations; Sufficient conditions; System testing; Testing; Vectors;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.370986
