Journal ArticleDOI
Paper: Optimal output feedback design of systems with ill-conditioned dynamics
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TLDR
Singular perturbation concepts are exploited to develop a procedure for designing a constant gain, output feedback control system that attempts to stabilize the system by minimizing a quadratic cost function made up of the control and states associated with a reduced order model for the plant and a measure of stability for the neglected fast dynamics.About:
This article is published in Automatica.The article was published on 1985-05-01. It has received 20 citations till now. The article focuses on the topics: Nonlinear control & Optimal control.read more
Citations
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Singular perturbations and time scales in control theory and applications: An overview
TL;DR: This paper presents an overview of singular perturbations and time scales (SPaTS) in control theory and applications during the period 1984-2001 and is not intended to be an exhaustive survey on the topic.
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Singular Perturbations and Time Scales in Guidance and Control of Aerospace Systems: A Survey
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Adaptive feedback control
TL;DR: Early ideas which primarily attempt to compensate for gain variations and more general methods like gain scheduling, model reference adaptive control, and self-tuning regulators are reviewed.
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Computational methods for parametric LQ problems--A survey
P. Makila,H. Toivonen +1 more
TL;DR: It is shown that the concepts and methods surveyed in this paper are useful in solving many realistic generalized parametric LQ problems as well, notably so-called robust parametricLQ problems.
Adaptive Feedback Control
TL;DR: Adaptive control is now finding its way into the marketplace after many years of effort as discussed by the authors, and it is shown that adaptive control laws can be obtained using stochastic control theory.
References
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Journal ArticleDOI
On the determination of the optimal constant output feedback gains for linear multivariable systems
William S. Levine,Michael Athans +1 more
TL;DR: In this article, the optimal control of linear time-invariant systems with respect to a quadratic performance criterion is discussed and an algorithm for computing FAST is presented.
Proceedings ArticleDOI
A decomposition of near-optimum regulators for systems with slow and fast modes
Joe H. Chow,Petar V. Kokotovic +1 more
TL;DR: In this article, conditions for complete separation of slow and fast regulator designs are formulated and a second order approximation of the optimal performance is achieved without the knowledge of the small singular perturbation parameter.
Journal ArticleDOI
Convergence of a numerical algorithm for calculating optimal output feedback gains
D. Moerder,Anthony J. Calise +1 more
TL;DR: In this paper, a sequential numerical algorithm is described which obtains gains minimizing a broad class of performance indexes, including the standard LQ case, under nonrestrictive assumptions.
Journal ArticleDOI
Singular perturbation of linear regulators: Basic theorems
Petar V. Kokotovic,R. Yackel +1 more
TL;DR: The behavior of the Riccati equation for the linear regulator problem with a parameter whose perturbation changes the order of the system is analyzed in this article, where sufficient conditions are given under which the original problem tends to the solution of a low-order problem.
Journal ArticleDOI
On the robustness of output feedback control methods to modeling errors
TL;DR: Singular perturbation analysis is employed to study the robustness of output feedback control schemes for linear time-invariant systems and it is shown that such a strategy may, in general, be destabilizing even when the neglected modes are asymptotically stable.
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Convergence of a numerical algorithm for calculating optimal output feedback gains
D. Moerder,Anthony J. Calise +1 more