A variable gain impulsive observer for Lipschitz nonlinear systems with measurement noises |
| |
| Affiliation: | 1. School of Electrical Engineering, Guangxi University, Nanning 530004, China;2. Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education, Guangxi University, China;3. School of Mathematics and Information Science, Guangxi University, Nanning 530004, China;4. Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, China;1. State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, P. R. China;2. College of Control Science and Engineering, Zhejiang University, Hangzhou, 310027, P. R. China;3. Key Laboratory of System Control and Information Processing, Ministry of Education of China, Department of Automation, Shanghai Jiao Tong University, Shanghai, 200240, P. R. China;4. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong Special Administrative Region of China, P. R. China The Hong Kong Polytechnic University Shenzhen Research Institute, Shenzhen, Guang Dong 518057, P. R. China;1. School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu, 210023, People’s Republic of China;2. Faculty of Information and Technology, Beijing University of Technology, Beijing, 100124, China;3. School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, 610106, China;4. School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China;5. Key Laboratory of HPC-SIP (MOE), School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, Hunan, China;1. Centro de Investigación en Matemáticas (CIMAT), Guanajuato, México;2. Consejo Nacional de Ciencia y Tecnología (CONACYT), Mexico City, México;1. School of Mathematics and Econometrics, Hubei University of Education, Wuhan 430205, P. R. China;2. Hubei Key Laboratory of Advanced Textile Materials & Application, Wuhan Textile University, Wuhan 430200, PR China;3. School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, PR China;1. Engineering and Technology Institute Groningen, University of Groningen, AG Groningen 9747, The Netherlands;2. The Center for Systems Science, Yale University, New Haven, CT 06511, USA |
| |
| Abstract: | This paper investigates the variable gain impulsive observer design problem for Lipschitz nonlinear systems. It is assumed that the measurements are contaminated by noise and received by observer at aperiodic instants. To establish a tractable design condition for impulsive observers, the piecewise linear interpolation method is used to construct the variable gain function. To quantify the impact of the measurement noises and exogenous disturbance on the estimation error, a Lyapunov-based condition for establishing exponential input-to-state stability (EISS) property of the observation error dynamics is presented. Then it is shown that the EISS condition can be expressed as a set of linear matrix inequalities (LMIs) by introducing a piecewise quadratic Lyapunov function. A convex optimization problem is proposed in which the EISS gain is minimized. Comparisons with the existing methods show the effectiveness of the proposed design technique. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
