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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 105815, 10 pages
http://dx.doi.org/10.1155/2014/105815
Review Article

A Survey on Gain-Scheduled Control and Filtering for Parameter-Varying Systems

1Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
2Department of Computer Science, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
3NAAM Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
4Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
5School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China

Received 4 December 2013; Accepted 28 March 2014; Published 29 April 2014

Academic Editor: Jinde Cao

Copyright © 2014 Guoliang Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents an overview of the recent developments in the gain-scheduled control and filtering problems for the parameter-varying systems. First of all, we recall several important algorithms suitable for gain-scheduling method including gain-scheduled proportional-integral derivative (PID) control, , and mixed gain-scheduling methods as well as fuzzy gain-scheduling techniques. Secondly, various important parameter-varying system models are reviewed, for which gain-scheduled control and filtering issues are usually dealt with. In particular, in view of the randomly occurring phenomena with time-varying probability distributions, some results of our recent work based on the probability-dependent gain-scheduling methods are reviewed. Furthermore, some latest progress in this area is discussed. Finally, conclusions are drawn and several potential future research directions are outlined.