On plant and LQG controller continuity questions
(1998) Automatica — Vol. 34, n° 5, p. 631-635 (1998)
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- Abstract
- Using the dual Youla parametrizations of controller-based coprime factor plant perturbations and plant-based coprime factor controller perturbations, we study the LQG plant-controller continuity question. Indeed, we show that it is possible to calculate a new optimal LQG controller from a previous one when the plant is slightly changed, and to quantify the change in the controller as a function of the change in the plant. In addition, we compute the degradation in the achieved LQG cost when the LQG controller is computed on the basis of a perturbation of the real plant. As a by-product, we characterize the set of all plants that have the same optimal LQG controller. (C) 1998 Elsevier Science Ltd. All rights reserved.
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De Bruyne, F., Anderson, BDO., & Gevers, M. (1998). On plant and LQG controller continuity questions. Automatica, 34(5), 631-635. https://doi.org/10.1016/S0005-1098(98)00005-3 (Original work published 1998)