H∞ and LQG control of asynchronous sampled-data systems

doi:10.1016/S0005-1098(97)00084-8

Automatica

Volume 33, Issue 9, September 1997, Pages 1663-1668

https://doi.org/10.1016/S0005-1098(97)00084-8 Get rights and content

Abstract

A class of dual-rate sampled-data systems is considered, where the sampling rate is asynchronously related to the rate at which the hold element is operating. Such asynchronous sampled-data systems are aperiodic, and hence the lifting technique, which is used to represent synchronous sampled-data systems as single-rate discrete systems, cannot be applied to the asynchronous case. In this study, optimal $H$ _∞ and LQG controllers for asynchronous sampled-data systems are derived using a two-Riccati equation approach, which does not rely on the lifting method. A distribution theorem is used to evaluate the optimal stationary performance levels in the two cases.

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^☆: The original version of this paper was presented at the 13th IFAC World Congress, which was held in San Francisco, U.S.A., during June 30–July 5, 1996. The Published Proceedings of this IFAC Meeting may be ordered from: Elsevier Science Limited, The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, UNITED KINGDOM. This paper was recommended for publication in revised form by Associate Editor I. Petersen under the direction of Editor Ruth F. Curtain.

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Brief paperH∞ and LQG control of asynchronous sampled-data systems☆

Abstract

System Control Lett.

System Control Lett.

Automatica

System Control Lett.

System. Control Lett.

Automatica

A general framework for linear periodic systems with applications to H∞ sampled-data control

IEEE Trans. Autom. Control

Stability analysis of multirate sampled-data systems

Worst-case analysis and design of sampled-data control systems

IEEE Trans. Autom. Control

Brief paper
$H$ _∞ and LQG control of asynchronous sampled-data systems☆

A general framework for linear periodic systems with applications to $H$ _∞ sampled-data control