Title: Controllability of singular linear systems by Legendre wavelets
Authors: Wenxin Yu; Yigang He; Kun Gao; Xianming Wu
Addresses: College of Electrical and Information Engineering, Hunan University, Hunan Pro., Changsha, 410082, China ' College of Electrical and Information Engineering, Hunan University, Hunan Pro., Changsha, 410082, China; School of Electrical and Automation Engineering, Hefei University of Technology, Anhui Pro., Hefei, 230009, China ' College of Electrical and Information Engineering, Hunan University, Hunan Pro., Changsha, 410082, China ' College of Electrical and Information Engineering, Hunan University, Hunan Pro., Changsha, 410082, China
Abstract: In this paper, we propose a new method to design an observer and control the linear singular systems described by Legendre wavelets. The idea of the proposed approach is based on solving the generalised Sylvester equations. An example is also given to illustrate the procedure.
Keywords: Legendre wavelets; singular linear systems; operational matrices; controllability; generalised Sylvester equations; systems control.
DOI: 10.1504/IJICT.2017.082079
International Journal of Information and Communication Technology, 2017 Vol.10 No.2, pp.185 - 192
Received: 02 May 2014
Accepted: 08 Oct 2014
Published online: 07 Feb 2017 *