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Output Feedback Admissible Control for Singular Systems: Delta Operator (Discretised) Approach

Part of: Controllability, observability, and system structure

Published online by Cambridge University Press:  02 May 2017

Xin-zhuang Dong  and
Mingqing Xiao
Xin-zhuang Dong
Affiliation:
College of Automation and Electrical Engineering, Qingdao University, Qingdao Shandong 266071, China
Mingqing Xiao*
Affiliation:
Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA
*
*Corresponding author. Email address:mingqingxiao30@gmail.com (M. Xiao)
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Abstract

Singular systems simultaneously capture the dynamics and algebraic constraints in many practical applications. Output feedback admissible control for singular systems through a delta operator method is considered in this article. Two novel admissibility conditions, derived for the singular delta operator system (SDOS) from a singular continuous system through sampling, can not only produce unified admissibility for both continuous and discrete singular systems but also practical procedures. To solve the problem of output feedback admissible control for the SDOS, an existence condition and design procedure is given for the determination of a physically realisable observer for the state estimation, and then a suitable state-feedback-like admissible controller design based on the observer is developed. All of the conditions presented are necessary and sufficient, involving strict linear matrix inequalities (LMI) with feasible solutions obtained with low computational costs. Numerical examples illustrate our approach.

Keywords

Singular delta operator system (SDOS)admissibilityoutput feedbackstate observerlinear matrix inequalities (LMI)

MSC classification

Secondary: 93B07: Observability 93B51: Design techniques (robust design, computer-aided design, etc.) 93B52: Feedback control
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 7 , Issue 2 , May 2017 , pp. 248 - 268
Copyright
Copyright © Global-Science Press 2017 

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