Global stabilisation for a class of upper-triangular nonlinear systems with unmodelled dynamics and time-delay |
| |
| Authors: | Weihai Zhang Ling-Rong Xue Zhen-Guo Liu Zong-Yao Sun |
| |
| Affiliation: | 1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, People's Republic of Chinaw_hzhang@163.com;3. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, People's Republic of China;4. Department of Automation, Shanxi University, Taiyuan, People's Republic of China;5. Institute of Automation, Qufu Normal University, Qufu, People's Republic of China |
| |
| Abstract: | This paper considers the stabilisation control problem of upper-triangular nonlinear time-delay systems. One distinct characteristic of this work is that the systems contain unmodelled dynamics, unknown control coefficients and time-varying delay, which make the control design much more difficult. By modifying the homogeneous domination approach and introducing a gain-scaling method, a new controller is constructed such that all the states of the closed-loop systems are bounded and convergent to the origin. Simulation examples are given to illustrate the validity of the theory. |
| |
| Keywords: | Nonlinear system stabilisation homogeneous domination approach gain-scaling method Lyapunov-Krasovskii functional |
|
|
