Gain-Scheduled ℋ2 Controller Synthesis for Continuous-Time Polytopic LPV Systems
Joint Authors
He, Huafeng
Han, Xiaojun
Cai, Guangbin
Hu, Changhua
Yin, Baojuan
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper is concerned with the problem of gain-scheduled ℋ2 controller synthesis for continuous-time linear parameter-varying systems.
In this problem, the system matrices in the state-space form are polytopic and patameterized and the admissible values of the parameters are assumed to be measurable on-line in a polytope space.
By employing a basis-parameter-dependent Lyapunov function and introducing some slack variables to the well-established performance conditions, sufficient conditions for the existence of the desired gain-scheduled ℋ2 state feedback and dynamic output feedback controllers are established in terms of parameterized linear matrix inequalities.
Based on the polytopic characteristic of the dependent parameters and a convexification method, the corresponding controller synthesis problem is then cast into finite-dimensional convex optimization problem which can be efficiently solved by using standard numerical softwares.
Numerical examples are given to illustrate the effectiveness and advantage of the proposed methods.
American Psychological Association (APA)
Cai, Guangbin& Hu, Changhua& Yin, Baojuan& He, Huafeng& Han, Xiaojun. 2014. Gain-Scheduled ℋ2 Controller Synthesis for Continuous-Time Polytopic LPV Systems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-512574
Modern Language Association (MLA)
Cai, Guangbin…[et al.]. Gain-Scheduled ℋ2 Controller Synthesis for Continuous-Time Polytopic LPV Systems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-512574
American Medical Association (AMA)
Cai, Guangbin& Hu, Changhua& Yin, Baojuan& He, Huafeng& Han, Xiaojun. Gain-Scheduled ℋ2 Controller Synthesis for Continuous-Time Polytopic LPV Systems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-512574
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512574