Adaptive asymptotic stabilization of switched parametric strict‐feedback systems with switched control |
| |
| Authors: | Ding Zhai Liwei An Qing‐Ling Zhang |
| |
| Affiliation: | 1. College of Sciences, Northeastern University, Shenyang 110819, China;2. College of Information Science and Engineering, Northeastern University, Shenyang 110819, China |
| |
| Abstract: | This paper is concerned with the problem of adaptive stabilization for a class of switched linear‐parametric nonlinear systems under arbitrary switching. The traditional adaptive backstepping control is successfully extended to switched systems from nonswitched ones where the asymptotic regulation of system state is not destroyed due to rapid or abrupt changes of switching parameters. A new switched adaptive controller is designed by exploiting a common high‐order Lyapunov function with a σ‐modification mechanism, which can reflect sufficiently the changes of plant by designing different adaptive laws and control laws for different subsystems. An explicit formula for constructing a continuous and piecewise  virtual control function is given to remove the restriction where some  bound functions have to be constructed blindly by designers in the existing results, which may be somewhat too strict to be applied. A numerical example is provided to validate the proposed approach. |
| |
| Keywords: | adaptive control asymptotic stabilization switched control switched nonlinear systems |
|
|
virtual control function is given to remove the restriction where some 
bound functions have to be constructed blindly by designers in the existing results, which may be somewhat too strict to be applied. A numerical example is provided to validate the proposed approach.