Output-feedback stabilization of singular LPV systems subject to inexact scheduling parameters

• Published in: Automatica (Oxford) Vol. 104; pp. 1 - 7
• Main Authors: Zhang, Baoyong, Xu, Shengyuan, Ma, Qian, Zhang, Zhengqiang
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.06.2019
• Subjects: Dynamic output-feedback controller; Gain-scheduled control; Inexact scheduling parameters; Linear parameter-varying systems; Singular systems; Inexact scheduling parameters; Linear parameter-varying systems; Gain-scheduled control; Dynamic output-feedback controller; Singular systems
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2019.02.054

This paper is concerned with the output-feedback stabilization problem for a class of singular linear parameter-varying (LPV) systems. The objective is to design a dynamic output-feedback controller such that the resulting closed-loop system is robustly admissible. Different from the classical gain-scheduling techniques, it is assumed in this paper that the scheduling parameters involved in the plant model are not exactly available for the controller. First, a sufficient and necessary condition for the solvability of the underlying stabilization problem is obtained in the form of general parameter-dependent matrix inequalities. Second, an equivalent transformation is developed to convert the general parameter-dependent conditions into parameter-dependent linear matrix inequalities (LMIs). Third, the singular LPV system whose coefficient matrices take a polytopic form is considered, and the finite LMI-based conditions are derived. Finally, an illustrative example is provided to show the effectiveness of the proposed design methods.