Approximation method for singular LQ problem for a class of singular systems with time-delay

Author

Baolin, Zhang ; Mingqu, Fan

Author_Institution

Coll. of Sci., China Jiliang Univ., Hangzhou

fYear

2008

fDate

16-18 July 2008

Firstpage

548

Lastpage

551

Abstract

An approximation method for solving singular linear quadratic (LQ) optimal control problem for a class of singular systems with time-delay is investigated. First, based on the algebra equivalent transformation, the original singular LQ problem is transformed into a nonsingular LQ problem for standard systems with time-delay. Then, by using perturbation method to solve the nonsingular LQ problem, the optimal control law of the original nonsingular LQ problem is obtained. The control law consists of state feedback term and a time-delay compensation term which is a series sum of adjoint vectors. The compensation term can be approximately obtained by a recursion formula of adjoint vectors.

Keywords

approximation theory; delays; linear quadratic control; state feedback; algebra equivalent transformation; approximation method; recursion formula; singular LQ problem; singular linear quadratic optimal control problem; time-delay compensation; time-delays; Algebra; Approximation methods; Bismuth; Educational institutions; Information technology; Optimal control; Perturbation methods; State feedback; Optimal control; Perturbation method; Singular quadratic performance indices; Singular system; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605475

Filename

4605475