Proceedings ArticleDOI
On the relationship between logarithmic sensitivity integrals and limiting optimal control problems
Richard H. Middleton,Julio H. Braslavsky +1 more
- Vol. 5, pp 4990-4995
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In this article, the authors use Parseval's theorem to derive tight inequality bounds between frequency domain logarithmic sensitivity integrals and the achievable quadratic performance of a linear time invariant system.Abstract:
Two seemingly independent streams of control systems research have examined logarithmic sensitivity integrals and limiting linear quadratic optimal control problems. These apparently diverse problems yield some results with an identical right hand side. The main contribution of the paper is to directly explain the commonality between these streams. This explanation involves the use of Parseval's theorem to, derive tight inequality bounds between frequency domain logarithmic sensitivity integrals, and the achievable quadratic performance of a linear time invariant system.read more
Citations
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Journal ArticleDOI
Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information
TL;DR: This paper extends Bode's integral equation for the case where the preview is made available to the controller via a general, finite capacity, communication system, and derives a universal lower bound which uses Shannon's entropy rate as a measure of performance.
Journal ArticleDOI
Performance limitations for linear feedback systems in the presence of plant uncertainty
TL;DR: Stochastic embedding of the uncertainty allows one to evaluate the best average performance in the presence of uncertainty and allow one to judge whether uncertainty or other properties, e.g., nonminimum phase behavior, are dominant limiting factors.
Journal ArticleDOI
Fundamental performance limitations in tracking sinusoidal signals
Weizhou Su,Li Qiu,Jie Chen +2 more
TL;DR: The purpose is to find the fundamental limit for the attainable tracking performance, under any control structure and parameters, in terms of the characteristics and structural parameters of the given plant, as well as those of the reference signal under consideration.
Proceedings ArticleDOI
Fundamental Limitations of Disturbance Attenuation in the Presence of Side Information
TL;DR: This paper extends Bode’s integral equation for the case where the preview is made available to the controller via a general, finite capacity, communication system, and derives a universal lower bound which uses entropy rates as a measure of performance.
Dissertation
On differential-algebraic control systems
TL;DR: In this paper, a differential algebraic equation (DAE) is defined as a set of differential-algebraic equations, in which the system is composed of two components, i.e., a system and a null dynamik.
References
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Book
Linear Optimal Control Systems
Huibert Kwakernaak,Raphael Sivan +1 more
TL;DR: In this article, the authors provide an excellent introduction to feedback control system design, including a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems.
Book
Optimal Control: Linear Quadratic Methods
TL;DR: In this article, an augmented edition of a respected text teaches the reader how to use linear quadratic Gaussian methods effectively for the design of control systems, with step-by-step explanations that show clearly how to make practical use of the material.
Journal ArticleDOI
Right half plane poles and zeros and design tradeoffs in feedback systems
James S. Freudenberg,D. Looze +1 more
TL;DR: In this article, the authors express limitations imposed by right half plane poles and zeros of the open-loop system directly in terms of the sensitivity and complementary sensitivity functions of the closed-loop systems.
Book
Fundamental Limitations in Filtering and Control
TL;DR: This book presents a comprehensive analysis of modern results, featuring contemporary developments in multivariable systems, sampled-data, periodic and nonlinear problems, featuring particular prominence to sensitivity functions which measure the fundamental qualities of the system, including performance and robustness.
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