Journal ArticleDOI
Robust stabilisation of nonlinear plants via left coprime factorizations
A.D.B. Paice,John B. Moore +1 more
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In this article, the authors developed a robust stabilization theory for nonlinear plants using the left coprime factorizations of the plant and controller under certain differential boundedness assumptions. But their work is limited to the problem of nonlinear adaptive control and simultaneous stabilization.About:
This article is published in Systems & Control Letters.The article was published on 1990-08-01. It has received 34 citations till now. The article focuses on the topics: Nonlinear system & Coprime integers.read more
Citations
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Journal ArticleDOI
Bibliography on robust control
TL;DR: This bibliography includes a compilation of selected books and journal articles written on the subject of Robust Control during the period 1987–1991.
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.
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.
Proceedings ArticleDOI
Nonlinear Feedback System Stability via Coprime Factorization Analysis
TL;DR: In this article, the authors derived right coprime factorizations for a general class of nonlinear plants and stabilizing feedback controllers using both input-output descriptions and state space realizations of the plant and controller.
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
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.
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On the Youla-Kucera parametrization for nonlinear systems
A.D.B. Paice,John B. Moore +1 more
TL;DR: 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.
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Left coprime factorizations and a class of stabilizing controllers for non-linear systems
T. T. Tay,John B. Moore +1 more
TL;DR: In this article, the problem of representing a class of non-linear systems by both left and right bounded-input-bounded-output (BIBO) coprime factors is studied.