Multivariable feedback design: Concepts for a classical/modern synthesis

Doyle, John C.; Stein, G.

doi:10.1109/tac.1981.1102555

Cited by 2,021 publications

(422 citation statements)

References 27 publications

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“…Here we compare the proposed method with the robust stabilization method in [8] and [32,Chap. 7] based on the following fact: Consider a family of plants P ∆ ∈ M(RF ∞ ) with ∆ ∈ [∆, ∆].…”

Section: Remark 47mentioning

confidence: 99%

Stabilization of systems with asynchronous sensors and controllers

2017

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We study the stabilization of networked control systems with asynchronous sensors and controllers.Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty.First we consider multi-input linear systems and provide a sufficient condition for the existence of linear time-invariant controllers that are capable of stabilizing the closed-loop system for every clock offset in a given range of admissible values. For first-order systems, we next obtain the maximum length of the offset range for which the system can be stabilized by a single controller. Finally, this bound is compared with the offset bounds that would be allowed if we restricted our attention to static output feedback controllers.

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Section: Remark 47mentioning

confidence: 99%

Stabilization of systems with asynchronous sensors and controllers

2017

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“…The concept of sensitivity is very useful in the analysis and controller design for feedback systems [22,1,2]. An important issue in designing a controller for an IPT system is the sensitivity of outputs to parameter variations.…”

Section: Singular Value Sensitivitymentioning

confidence: 99%

Robust H<sub>∞</sub> output feedback control of bidirectional inductive power transfer systems

Swain

Almakhles

Neath

et al. 2017

Archives of Control Sciences

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Robust H ∞ output feedback control of bidirectional inductive power transfer systems AKSHYA SWAIN, DHAFER ALMAKHLES, MICHAEL J. NEATH and ALIREZA NASIRI Bidirectional Inductive power transfer (IPT) systems behave as high order resonant networks and hence are highly sensitive to changes in system parameters. Traditional PID controllers often fail to maintain satisfactory power regulation in the presence of parametric uncertainties. To overcome these problems, this paper proposes a robust controller which is designed using linear matrix inequality (LMI) techniques. The output sensitivity to parametric uncertainty is explored and a linear fractional transformation of the nominal model and its uncertainty is discussed to generate a standard configuration for µ-synthesis and LMI analysis. An H ∞ controller is designed based on the structured singular value and LMI feasibility analysis with regard to uncertainties in the primary tuning capacitance, the primary and pickup inductors and the mutual inductance. Robust stability and robust performance of the system is studied through µ-synthesis and LMI feasibility analysis. Simulations and experiments are conducted to verify the power regulation performance of the proposed controller.

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“…However, a straightforward extension to a MIMO double mass-spring-damper (MSD) system can render many conventional analysis techniques essentially useless. It is well known that techniques based on gain margin or phase margin cannot be used to assess stability for the MIMO case (Doyle and Stein, 1981). In this paper, the so-called "µ-paradigm" for the computation of the worst case (or maximum gain) of an uncertain double MSD system is considered.…”

Section: Introductionmentioning

confidence: 99%

Worst Case Analysis of a Simple Mimo Mass-Spring-Damper System

Halton

Hayes

Iordanov

2005

IFAC Proceedings Volumes

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This paper considers the application of the structured singular value, µ, and the skewed structured singular value, abbreviated "skew µ", to the analysis of a (deceptively) simple MIMO mass-spring-damper system. This example highlights some pertinent outstanding µ analysis questions, namely the effect of strictly real, possibly repeated parameters and the limitation of classical grid-based methods. It is shown that by transforming the original µ problem and using skew µ to calculate the worst case that more reliable and certifiably safe answers to the analysis question are determined. A comparison with more conventional µ analysis methods is presented.

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Multivariable feedback design: Concepts for a classical/modern synthesis

Cited by 2,021 publications

References 27 publications

Stabilization of systems with asynchronous sensors and controllers

Stabilization of systems with asynchronous sensors and controllers

Robust H<sub>∞</sub> output feedback control of bidirectional inductive power transfer systems

Worst Case Analysis of a Simple Mimo Mass-Spring-Damper System

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