Adaptive Nonstationary Control Using Solutions of Time-Varying Riccati Equations-Its Application to Positioning Control of Vibration Systems

Abstract

The author's previous study proposed an efficient design method of time-varying gain type controller using the solutions of time-varying Riccati equations (TVREs) and its application to positioning control of vibration systems. This method generates the solutions of a TVRE and the responses of a controlled object simultaneously. The time-varying gains are obtained by real-time computations in actual implementations. This feature is convenient for the realization of some adaptive control. However, such a control method has not been fully addressed yet. This study discusses an adaptive nonstationary control (ANSC) method based on the feature of the previous study. We select a flexible structure installed on an X-Y table as a controlled object example. Its positioning and residual vibration reduction are the purposes of the application in this paper. The effectiveness of the ANSC method is verified by numerical calculations and experiments.