| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758191 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 9 Pages |
•Proposed a method of stabilizing dynamic systems with unknown time delay.•Proposed a method for identifying the unknown time delay after the system is stabilized.•Studied the supervisory control and time delay identification of linear time invariant and periodic systems.
The unknown time delay makes the control design a difficult task. When the lower and upper bounds of an unknown time delay of dynamical systems are specified, one can design a supervisory control that switches among a set of controls designed for the sampled time delays in the given range so that the closed-loop system is stable and the control performance is maintained at a desirable level. In this paper, we propose to design a supervisory control to stabilize the system first. After the supervisory control converges, we start an algorithm to identify the unknown time delay, either on-line or off-line, with the known control being implemented. Examples are shown to demonstrate the stabilization and identification for linear time invariant and periodic systems with a single control time delay.
