Journal ArticleDOI
A sensitivity tradeoff for plants with time delay
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TLDR
It is shown that the sensitivity function of a scalar feedback system must satisfy an integral constraint when the open-loop transfer function is strictly proper and contains a time delay.Abstract:
In this paper we show that the sensitivity function of a scalar feedback system must satisfy an integral constraint when the open-loop transfer function is strictly proper and contains a time delay. The integral constraint is identical to the classical Bode sensitivity integral, which holds provided the open-loop gain has greater than a one-pole rolloff. The design implications of the two constraints are somewhat different, however, and this difference is discussed. The relation between open-loop phase and a conflict between bandwidth and sensitivity properties is explored.read more
Citations
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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.
Journal ArticleDOI
Trade-offs in linear control system design
TL;DR: One of the key conclusions here is a set of rules of thumb, giving limitations on the closed loop bandwidth which are imposed by unstable open loop poles, non-minimum phase zeros and/or time delays.
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Limitations on Control System Performance
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Brief Single-loop controller design via IMC principles
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Proceedings ArticleDOI
Delay effects on stability: a survey
TL;DR: In this article, the authors give an overview of the techniques encountered in the analysis and design of delay systems, and some open problems are discussed, as well as some recent progress on stability, robust stability and control techniques on time delay systems.
References
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Journal ArticleDOI
Multivariable feedback design: Concepts for a classical/modern synthesis
John Doyle,Gunter Stein +1 more
TL;DR: This paper presents a practical design perspective on multivariable feedback control problems and generalizes known single-input, single-output (SISO) statements and constraints of the design problem to multiinput, multioutput (MIMO) cases.
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.
Journal ArticleDOI
A new approach to the sensitivity problem in multivariable feedback system design
Jose B. Cruz,Will Perkins +1 more
TL;DR: In this paper, a new point of view for the parameter variation problem in linear multivariable systems is proposed, where output deviations due to parameter variations for an open-loop realization are related by a sensitivity matrix to the output deviations for a closed-loop (feedback) realization.
Proceedings ArticleDOI
Subharmonic functions and performance bounds on linear time-invariant feedback systems
Stephen Boyd,Charles A. Desoer +1 more
Proceedings ArticleDOI
Sensitivity reduction, nonminimum phase zeros, and design tradeoffs in single loop feedback systems
James S. Freudenberg,D. Looze +1 more
TL;DR: This paper expresses limitations imposed by non-minimum phase zeros of the open loop system directly in terms of the sensitivity function of the closed loop system.