Results 91 to 100 of about 146 (131)

Operator‐Based Robust Right Coprime Factorization and a Nonlinear Control Scheme for Nonlinear Plant with Unknown Perturbations

Asian Journal of Control, 2012
AbstractThis paper is concerned with operator‐based robust right coprime factorization for nonlinear plants with unknown perturbations. Firstly, the right factorization for by nonlinear plant with unknown perturbations is realized using isomorphism and some sufficient conditions are proposed to guarantee the robust stability of the obtained nonlinear ...
Ni Bu, Mingcong Deng
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Right coprime factorizations and stabilization for nonlinear systems

IEEE Transactions on Automatic Control, 1993
Summary: The problem of constructing right coprime factorizations (which are based on the graph of an input-output map instead of the Bezout identity) of nonlinear input-output maps is considered. The nonlinear input-output map is assumed to arise from a state variable realization with a fixed initial state.
Madanpal S. Verma, Louis R. Hunt
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Right coprime factorizations of nonlinear systems

Proceedings of the 28th IEEE Conference on Decision and Control, 2003
The problem of constructing right coprime factorizations of a nonlinear system is considered. It is assumed that the nonlinear system is specified in terms of a state-space realization, which is I/O detectable. It is shown that the existence of a stabilizing state feedback implies the existence of a right coprime factorization for the nonlinear system.
M.S. Verma, L.R. Hunt
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Dynamic right coprime factorization for nonlinear systems

Nonlinear Analysis: Theory, Methods & Applications, 1997
The authors consider a dynamic plant \(P\) from \(W_0\times U\) to \(Y\) described by \(y(t)= P(\xi_0, u(t))\), where \(W_0\) is a finite-dimensional linear space consisting of initial states \(\xi_0\), \(U\) is the input space and \(Y\) is the output space. They define a \(D\)-right factorization of \(P\), i.e., a pair \((N,D)\), \(N: S_N\times W\to Y\
Han, Zhengzhi, Chen, Guanrong
openaire   +2 more sources

Bicoprime factorizations of the plant and their relation to right- and left-coprime factorizations

IEEE Transactions on Automatic Control, 1988
In a general algebraic framework, starting with a bicoprime factorization \(P=N_{pr}D^{-1}N_{pl}\), we obtain a right-coprime factorization \(N_ pD_ p^{-1}\), a left-coprime factorization \(\tilde D_ p^{- 1}\tilde N_ p\), and the generalized Bezout identities associated with the pairs \((N_ p\), \(D_ p)\) and \((\tilde D_ p,\tilde N_ p)\).
Desoer, C. A., Gündeş, A. N.
openaire   +2 more sources

A Right Coprime Factorization of Neural State Space Models

Seventh International Conference on Intelligent Systems Design and Applications (ISDA 2007), 2007
In recent years, various methods for identification of nonlinear systems in closed loop using open-loop approaches have received considerable attention. However, these methods rely on differentially coprime factorizations of the nonlinear plants, which can be difficult to compute in practice. To address this issue, this paper presents various technical
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Controller Design According to Right/Left Coprime Factorization

2020
This paper proposes a method to design a controller based on the right/left coprime factorization. In this method, the designer chooses the controller from the set of all stabilizing controllers based on some performance measures on the closed-loop transfer function. In comparison with other methods that work on closed-loop transfer functions such as \(
A. Karimpour, D. K. Chaturvedi
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Right coprime factorizations of MISO fractional time-delay systems

IFAC Proceedings Volumes, 2013
Abstract Fractional order models have been more and more used as they offer better characterization of real systems of lumped as well as distributed nature. In this paper, we are interested in multiple-input and single-output (MISO) fractional systems of commensurate order with input or output delays, which have not been well understood so far.
Nguyen, Le Ha Vy, Bonnet, Catherine
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Solutions to right coprime factorizations and generalized Sylvester matrix equations

Transactions of the Institute of Measurement and Control, 2008
In this paper, an explicit solution to right coprime factorization of transfer function based on Krylov matrix and Pseudo-Controllability Indices is investigated. The proposed approach only needs to solve a series of linear equations. Based on these solutions to right coprime factorization, a complete, analytical, and explicit solution to the ...
null Bin Zhou, Zhi-Bin Yan
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A right coprime factorization of feedback linearizable systems

Proceedings of 1994 American Control Conference - ACC '94, 2005
This work focuses on the computation of right coprime factorization for nonlinear plants that have a state-space description and which are input-to-state linearizable. For these plants there exist two factorizations in the literature: one is based on the Bezout identity, while the other is not.
openaire   +1 more source