Singular LQ Problem for Irregular Singular Systems. (8th July 2014)

• Record Type: Journal Article
• Authors: Fang, Qingxiang; Zhang, Baolin; Feng, Jun-e
• Other Names: Kim Jong Hae Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-07-08
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/853415
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : This paper is concerned with the singular LQ problem for irregular singular systems with persistent disturbances. The full information feedback control method is employed to achieve the optimal control. By restricted system equivalence transformation, the system state is decomposed into free state and restricted state and the input is decomposed into free input and forced input. Some sufficient conditions for the unique existence of optimal control-state pair are derived and these conditions are all described unitedly with matrix rank equalities. The optimal control-state pair can be explicitly formulated via solving an algebraic Riccati equation and a Sylvester equation. Moreover, under the optimal control-state pair, the resulting system has no free state.