摘要
We solve stabilization problems of LTI systems with unknown parameters and distributed input delay. The key challenge is that the infinite-dimensional input dynamics are distributed, which makes traditional infinite-dimensional backstepping inapplicable. We resolve this challenge by employing backsteppingforwarding transformations of the finite-dimensional state of the plant and of the infinite-dimensional actuator state. These transformations enable us to design Lyapunov-based update laws. We also design an adaptive controller for rejecting a constant disturbance in the input of the LTI plant, in the case where the parameters of the plant are known.
- 出版日期2013-2