Robust Adaptive Control for a Class of Linear Dynamical Systems Including Delayed States

抄録

The problem of adaptive control for a class of dynamical systems including delayed states is considered. In the paper, a key assumption on continuous time-delay systems is made. On the basis of this key assumption, an algorithm for direct adaptive control is proposed, and it is also shown that the closed-loop time-delay system resulting from the proposed adaptive control schemes is globally stable in the sense of uniform ultimate boundedness. Particularly, the time-varying delay is assumed only to be any bounded and continuous nonnegative function, and is independent of the proposed adaptive control schemes. Therefore, the results obtained in this paper are also applicable to dynamical systems with uncertain time-delay. Finally, a numerical example is given to demonstrate the validity of the results.