Design of Optimal Output Regulators for Dual-Rate Linear Discrete-Time Systems Based on the Lifting Technique

Abstract EN

A design strategy of optimal output regulators for dual-rate discrete-time systems, whose output sampling period is an integer multiple of the input updating period, is proposed.

At first, by using the discrete lifting technique, the dual-rate discrete-time system is converted to a single-rate augmented system in form and the lifted state-space model is constructed.

Correspondingly, the performance index of the original system is modified to the performance index of the single-rate augmented system.

And the original problem is transformed into an output regulation problem for the augmented system.

Then, according to the optimal regulator theory, an optimal output regulator for the dual-rate discrete-time system is derived.

In the meantime, the existence conditions of the optimal output regulator are discussed.

Finally, a numerical example is included to illustrate the effectiveness of the proposed method.