Fast-rate output feedback control system design with adaptive output estimator for nonuniformly sampled multirate systems

• Published in: International journal of adaptive control and signal processing Vol. 28; no. 7-8; pp. 686 - 707
• Main Authors: Mizumoto, I., Fujimoto, Y.
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 01.07.2014; Wiley Subscription Services, Inc
• Subjects: Adaptive control systems; adaptive output estimator; Control systems; Control systems design; Design engineering; Estimators; Hoisting; nonuniform multirate sampled system; Output feedback; output feedback control: almost strictly positive real; Sampling
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.2407

SUMMARYMultirate sampled system can be seen in many industries and several kinds of control method using lifting method have been proposed. Unfortunately, it was difficult to deal with nonuniformly sampled multirate systems. In this paper, we will propose a design scheme of output feedback control with a simple structure for nonuniformly sampled systems based on almost strictly positive real properties. A design method of a fast‐rate output feedback control system for nonuniformly sampled multirate systems with a fast uniform input updating rate and slow nonuniform output sampling rates. An adaptive output estimator will be proposed so as to realize a fast‐rate output feedback control for nonuniformly sampled systems at the fast sampling period of the input updating rate, and then, a design scheme of a fast‐rate adaptive output feedback control at the fast sampling period of the input updating rate will be proposed for nonuniformly sampled systems utilizing the proposed adaptive output estimator. We also analyze the stability of the obtained fast‐rate output feedback control system based on almost strictly positive real properties of the controlled system. Copyright © 2013 John Wiley & Sons, Ltd.