The Open Automation and Control Systems Journal

2016, 8 : 6-20
Published online 2016 April 30. DOI: 10.2174/1874444301608010006
Publisher ID: TOAUTOCJ-8-6

RESEARCH ARTICLE
 Smooth Switching Tracking Control for a Class of Linear Time-Varying Systems with Input Quantization and Input Saturation

Zhubing Hu, * , Gaohua Cai and Lifu Du
1 Department of Electrical and Electronic Engineering, Chengde Petroleum College Chengde, 067000, P. R. China
2 Beijing Aerospace Automatic Control Institute, Beijing 100854, P. R. China

* Address correspondence to this author at the Department of Electrical and Electronic Engineering, Chengde Petroleum College Chengde, 067000, P. R. China; Tel: 0314-2375666; E-mail: hubing9973316@163.com

ABSTRACT

This paper deals with the problem of robust smooth switching state feedback controller design for a class of linear time-varying systems with input quantization and input saturation, which is a common case in the practical engineering for modern flight vehicle. First, the problem statement is presented, in which a tracking problem is converted into a regulation problem by constructing a deviation system, the tracking error deviation is treated as the system performance and the conditions for smooth switching tracking control are discussed based on the theory of robust control technique. Secondly, the state feedback gain of the deviation system with input saturation and input quantization is designed by solving Linear Matrix Inequalities (LMIs) based convex optimization problem with the conditions for smooth switching tracking control being considered. Finally, validation simulations are carried out for the longitudinal dynamics model of hypersonic vehicle driven by Reaction Control System (RCS) to illustrate the effectiveness and rationality of the proposed approach.

Keywords:

Input Quantization and Input Saturation, Linear Matrix Inequalities, Multi-Model, Switched System, Time-varying System.