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Journal ArticleDOI

A loop-shaping design procedure using H/sub infinity / synthesis

Duncan McFarlane, +1 more
- 16 Sep 1992 - 
- Vol. 37, Iss: 6, pp 759-769
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TLDR
In this article, a design procedure is introduced which incorporates loop shaping methods to obtain performance/robust stability tradeoffs, and a particular H/sub infinity / optimization problem to guarantee closed-loop stability and a level of robust stability at all frequencies.
Abstract
A design procedure is introduced which incorporates loop shaping methods to obtain performance/robust stability tradeoffs, and a particular H/sub infinity / optimization problem to guarantee closed-loop stability and a level of robust stability at all frequencies. Theoretical justification of this technique is given, and the effect of loop shaping on closed-loop behavior is examined. The procedure is illustrated in a controller design for a flexible space platform. >

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Citations
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Journal ArticleDOI

Quantifying the robustness of flight control systems using Nichols exclusion regions and the structured singular value

TL;DR: In this article, the authors established some connections between classical stability metrics currently used in the aerospace industry for the certification of flight control laws and modern tools for the robustness analysis of uncertain multivariable systems.
Journal ArticleDOI

Two degrees of freedom PID multi-controllers to design a mathematical driver model: experimental validation and robustness tests

TL;DR: In this article, a mathematical driver model based on PID multi-controllers having two degrees of freedom is proposed, where each PID controller making up this model is synthesized by the Ziegler-Nichols oscillation method, using the linear time invariant models which are obtained around their nominal operating points.
Journal ArticleDOI

Robust dynamic stiffness design of linear servomotor drives

TL;DR: In this paper, the authors employed the H ∞ loop shaping design concept to obtain a so-called advanced pseudo derivative feedback with feedforward (PDFF) controller, which allows dynamic gains in the feedback loop and the pole/zero relationships between the proposed h ∞ controller and the closed-loop system.
Journal ArticleDOI

Robust flight control system design using H∞ loop-shaping and recessive trait crossover genetic algorithm

TL;DR: A proposed approach to robust controller design is introduced that combines the recessive trait crossover genetic algorithm with the loop-shaping design procedure using H"~ synthesis and reveals that the desired performance objectives are achieved and the controller provides acceptable performance in spite of modeling errors and plant parameter variations.
Proceedings ArticleDOI

H ∞ robustification control of existing piezoelectric-stack actuated nanomanipulators

TL;DR: A robust plug-in compensator using the H-infinity loop-shaping techniques which can be plugged into the existing controller without affecting the already satisfactory nominal tracking performance of the existing closed-loop system is proposed.
References
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Book

Linear Optimal Control Systems

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.
Journal ArticleDOI

Multivariable feedback design: Concepts for a classical/modern synthesis

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

Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses

TL;DR: In this article, the problem of sensitivity reduction by feedback is formulated as an optimization problem and separated from the problems of stabilization, and the feedback schemes obtainable from a given plant are parameterized.

Analysis of feedback systems with structured uncertainties

TL;DR: In this article, a general approach for analysing linear systems with structured uncertainty based on a new generalised spectral theory for matrices is introduced, which naturally extend techniques based on singular values and eliminate their most serious difficulties.
Book

Multivariable Feedback Design

TL;DR: In this article, a comprehensive and unified view of modern multivariate feedback theory and design is presented, where balancing techniques with theory, the objective throughout is to enable the feedback engineer to design real systems.
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