Global regulation of feedforward nonlinear systems with unknown time-varying control coefficients and growth rate |
| |
| Institution: | 1. Dept. of Fire Protection Engineering, Pukyong National University, Busan, Korea;2. Dept. of Electrical Engineering, Dong-A University, Busan, Korea;1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China;2. The Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122 China;1. Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022, Spain;2. Department of Statistics and Operational Research, Universitat de València, Dr. Moliner 50, Burjassot, 46100, Spain;1. Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing, 210044, China;2. College of Automation, Chongqing University, Chongqing 400044, China;1. School of Science, Harbin Institute of Technology, Shenzhen, China;2. School of Automation Science and Engineering, South China University of Technology, Guangzhou, China;3. Pazhou Laboratory, Guangzhou, 510330, China;4. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong;5. The Hong Kong Polytechnic University Shenzhen Research Institute, Shenzhen, 518057, China;1. School of Automation, Nanjing University of Science and Technology, Nanjing, China;2. IBISC, Evry Val-dEssonne University, Universite Paris-Saclay, Evry, France;3. Industrial Center/School of Innovation and Entrepreneurship, Nanjing Institute of Technology, Nanjing, China;1. LAJ Laboratory, University of Jijel, Algeria;2. Université Paris-Saclay, Univ Evry, IBISC, Evry 91020, France |
| |
| Abstract: | In this paper, we consider a regulation problem for a class of feedforward nonlinear systems with unknown control coefficients and unknown growth rate. More specifically, the unknown control coefficients are assumed to be time-varying and belong to ranges with unknown upper and lower bounds. Due to the described control coefficients with uncertain feedfoward nonlinearities, our considered system is the natural extension of the related existing results. In solving our control problem, a new adaptive controller is derived by constructing a Lyapunov function in backstepping-like procedure and utilizing appropriate parameters based on the gain scaling technique and Nussbaum function. The uniquely designed exponents of a dynamic gain overcome the difficulties caused from the unknown sign and unknown ranges of the control coefficients and uncertain nonlinearities and thus play a key role in system regulation. We give the rigorous system analysis and simulation results of the numerical example to certify our control method. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
