Disturbance Attenuation Problems with Delayed Feedback Measurements

Khanh D. Pham
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Khanh D. Pham: Space Vehicles Directorate

Chapter Chapter 4 in Resilient Controls for Ordering Uncertain Prospects, 2014, pp 49-80 from Springer

Abstract: Abstract The emphasis is on the application of a multi-person zero-sum game-theoretic approach that can help robust control design to obtain a certain level of performance robustness in the presence of adversarial process and measurement disturbances starting from the assumptions of linear stochastic dynamics, delayed feedback measurements, a finite-horizon integral-quadratic-form 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: a Kalman-like estimator dynamics for both constant time delay and noisy states; and a custom dynamical set of mathematical statistics associated with the underlying random cost random cost of the chi-squared type.

Keywords: Disturbance Attenuation Problem; Performance Risk Aversion; Saddle-point Strategies; Performance-measure Statistics; Aware Performance Index (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-08705-4_4

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DOI: 10.1007/978-3-319-08705-4_4

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