Title

Understanding Disturbance Attenuation Problems With Unknown Input Time-Delays: A Game-Theoretic Approach With Performance Risk Aversion

Abstract

The main contribution is the application of a zero-sum game-theoretic framework and performance-measure statistics that can help robust control design to obtain a certain level of performance robustness in presence of adversarial process and measurement disturbances starting from the assumptions of linear stochastic dynamics, unknown input time-delays, a finite-horizon integral-quadratic cost and noisy output observations. A disturbance attenuation problem is based on a saddle-point equilibrium associated with the controller with performance risk aversion in competing with persistent process and measurement disturbances. The resulting saddle-point strategies are in turn supported by: i) a Kalman-like estimator for both unknown time-delays and noisy states and ii) a custom dynamical set of mathematical statistics associated with the underlying random cost of the chi-squared type. © 2013 AACC American Automatic Control Council.

Publication Date

1-1-2013

Publication Title

Proceedings of the American Control Conference

Number of Pages

5092-5097

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/acc.2013.6580629

Socpus ID

84883518980 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84883518980

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