|
|||||
|
|
Improved exponential observer design for one‐sided Lipschitz nonlinear systems |
|
| Authors: | Wei Zhang Housheng Su Fanglai Zhu Shankar P Bhattacharyya |
| Affiliation: | 1. Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai, China;2. Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX, USA;3. School of Automation, Image Processing and Intelligent Control Key Laboratory of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, China;4. College of Electronics, Information Engineering, Tongji University, Shanghai, China |
| Abstract: | This paper investigates the exponential observer design problem for one‐sided Lipschitz nonlinear systems. A unified framework for designing both full‐order and reduced‐order exponential state observers is proposed. The developed design approach requires neither scaling of the one‐sided Lipschitz constant nor the additional quadratically inner‐bounded condition. It is shown that the synthesis conditions established include some known existing results as special cases and can reduce the intrinsic conservatism. For design purposes, we also formulate the observer synthesis conditions in a tractable LMI form or a Riccati‐type inequality with equality constraints. Simulation results on a numerical example are given to illustrate the advantages and effectiveness of the proposed design scheme. Copyright © 2016 John Wiley & Sons, Ltd. |
| Keywords: | one‐sided Lipschitz nonlinear systems exponential observer design linear matrix inequality (LMI) Riccati inequality |