Preview control for a class of linear discrete-time periodic systems

ABSTRACT

This paper considers the problem of preview tracking control for linear discrete-time periodic systems subject to previewable reference and disturbance signals. First, the difference operator approach is introduced to derive an augmented error system that includes future information on the previewable signals. As a result, the problem of preview tracking control of the original system is transformed into a stabilisation problem via a periodic static output feedback. Second, sufficient conditions that guarantee the closed-loop stability of the augmented error systems are derived, and meanwhile, the design of a periodic controller with preview actions is proposed through the linear matrix inequalities approach. Finally, a numerical simulation example is presented to illustrates the effectiveness of the proposed method.

KEYWORDS:

• Preview control
• augmented error system
• linear periodic systems
• robust tracking control
• output feedback

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Hubei Provincial Department of Education [grant number 18G046,B2018129]; National Natural Science Foundation of China [11701162]; and National Social Science fund of China [17CTJ013].