Journal ArticleDOI
On the Youla-Kucera parametrization for nonlinear systems
A.D.B. Paice,John B. Moore +1 more
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TLDR
In this paper, a nonlinear generalization of the Youla-Kucera parametrization for nonlinear systems is presented, and the equivalence of the class of all (bounded-input) stabilizing nonlinear pre- and feedback-compensators to a class of possibly unstable feedback controllers is shown.About:
This article is published in Systems & Control Letters.The article was published on 1990-02-01. It has received 59 citations till now. The article focuses on the topics: Youla–Kucera parametrization & BIBO stability.read more
Citations
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Journal ArticleDOI
Diophantine equations in control—a survey
TL;DR: This survey is a tutorial whose aim is to explain the role of diophantine equations in the synthesis of feedback control systems and a simple parametrization of all stabilizing controllers for a given plant is presented.
Journal ArticleDOI
System Design for Nonlinear Plants Using Operator-Based Robust Right Coprime Factorization and Isomorphism
Ni Bu,Mingcong Deng +1 more
TL;DR: By the proposed design scheme, the robust right coprime factorization is realized and the plant output can also track to the reference input and the robust stability can be guaranteed by the two controllers.
Proceedings ArticleDOI
Stability of unfalsified adaptive control with non-SCLI controllers and related performance under different prior knowledge
TL;DR: In this paper, a new class of cost functions which remove the SCLI controller requirement in order to have cost-detectability is presented and the analysis of switching performance achieved using such cost functions is considered in the case where no a priori knowledge on the plant is available as well when nominal approximating models of the plant are known.
Journal Article
The class of stabilizing nonlinear plant-controller pairs
TL;DR: It is demonstrated that in some sense the kernel representation of the class of stable plant controller pairs is a generalization of the left coprime factorization of a general nonlinear system.
Journal ArticleDOI
The class of stabilizing nonlinear plant controller pairs
A.D.B. Paice,A.J. van der Schaft +1 more
TL;DR: In this paper, a general approach is taken to yield a characterization of the class of stable plant controller pairs which is a generalization of the Youla parameterization for linear systems based on the idea of representing the input-output pairs of the plant and controller as elements of the kernel of some related operator, denoted the kernel representation of the system.
References
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Book
Control System Synthesis : A Factorization Approach
TL;DR: In this article, the stable factorization approach is introduced to the synthesis of feedback controllers for linear control systems, where the controller is designed as a matrix over a fraction field associated with a commutative ring with identity, denoted by R, which also has no divisors of zero.
Journal ArticleDOI
Control System Synthesis: A Factorization Approach (M. Vidyasagar)
Journal ArticleDOI
Indirect adaptive techniques for fixed controller performance enhancement
TL;DR: In this article, the adaptive disturbance estimate feedback schemes were developed for enhancing the performance of controllers designed by off-line techniques. But their focus was on techniques for fixed but unmodelled dynamics.
Journal ArticleDOI
Non-linear systems, stabilization, and coprimeness†
TL;DR: In this article, a theory of coprimeness for non-linear systems is developed with the intention of constructing analytic tools for the solution of the problem of stabilizing a nonlinear system through the application of additive nonlinear feedback.
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.