Journal ArticleDOI
All stabilizing controllers as frequency-shaped state estimate feedback
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In this article, the class of strictly proper stabilizing controllers for proper linear plants can be structured as state estimate feedback with frequency shaping in the state estimates and/or in the State Estimate Feedback law, where the selection of where the frequency shaping takes place is at the designer's discretion.Abstract:
It is shown that the class of all strictly proper stabilizing controllers for proper linear plants can be structured as state estimate feedback with frequency shaping in the state estimates and/or in the state estimate feedback law. The selection of where the frequency shaping takes place is at the designer's discretion. The parameterization of the controller class can be in terms of an arbitrary proper stable transfer function, with the closed-loop system transfer functions affine in the transfer function. With constant output feedback permitted in addition to the state estimate feedback, the class of all proper stabilizing controllers can be generated in a like manner. >read more
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Essentials of Robust Control
Kemin Zhou,John Doyle +1 more
TL;DR: In this article, the authors introduce linear algebraic Riccati Equations and linear systems with Ha spaces and balance model reduction, and Ha Loop Shaping, and Controller Reduction.
Journal ArticleDOI
Dual Youla parameterisation
TL;DR: A different aspect of using the parameterisation of all systems stabilised by a given controller, i.e. the dual Youla parameterisation, is considered and a number of standard uncertain model descriptions are considered and the relation with the dual youla parameter given.
Journal ArticleDOI
Switching between multivariable controllers
TL;DR: In this article, a concept for implementation of multivariable controllers based on the Youla-Jabr-Bongiorno-Kucera (YJBK) parameterization of all stabilizing controllers is presented.
Journal ArticleDOI
Enhancement of fixed controllers via Adaptive-Q disturbance estimate feedback
Teng-Tiow Tay,John B. Moore +1 more
TL;DR: The proposed adaptive- Q disturbance estimate feedback (DEF) controllers can be simple to implement even for high order multivariable plants with high order fixed controllers, and have the significance that they seek to enhance performance of standard controller designs in the face of plant perturbations or uncertainties, rather than supplant or compete with them.
Proceedings ArticleDOI
An architecture for implementation of multivariable controllers
TL;DR: In this article, an architecture for implementation of multivariable controllers is presented based on the Youla-Jabr-Bongiorno-Kucera parameterization of all stabilizing controllers.
References
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Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable case
TL;DR: In this paper, a least-square Wiener-Hopf minimization of an appropriately chosen cost functional is proposed to obtain an asymptotically stable and dynamical closed-loop configuration irrespective of whether the plant is proper, stable, or minimum phase.
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Feedback system design: The fractional representation approach to analysis and synthesis
TL;DR: In this paper, the problem of designing a feedback system with prescribed properties is attacked via a fractional representation approach to feedback system analysis and synthesis, and the theory is formulated axiomatically to permit its application in a wide variety of system design problems and is extremely elementary in nature requiring no more than addition, multiplication, subtraction and inversion for its derivation even in the most general settings.
Journal ArticleDOI
A connection between state-space and doubly coprime fractional representations
TL;DR: In this article, explicit formulas for a doubly coprime fractional representation of the transfer function of a lumped LTI system are given in terms of a stabilizable and detectable state-space realization of the transferred function.