On Block roots of matrix polynomials based MIMO control system design

Bekhiti, Belkacem; Dahimene, Abdelhakim; Nail, Bachir; Hariche, Kamel; Hamadouche, Anis

doi:10.1109/intee.2015.7416694

Cited by 7 publications

(3 citation statements)

References 28 publications

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“…A transfer function matrix of an invariant-time multivariable system can be formulated in block terms. After some manipulation (Bekhiti et al, 2015), it is given as…”

Section: Effectiveness Of Block Roots On the Performance Of The Propomentioning

confidence: 99%

“…where l is a complex variable; (X i , Y i , R i ) characterize the whole system, as presented in equation 66; X i is the right block vector corresponding to the block root R i and Y i is the left block vector corresponding to the block root R i . It is to be noted that the block root is the basic component of the left and right block vectors, as explained in details by Bekhiti et al (2015), so it can be said that the block roots R i…”

Section: Effectiveness Of Block Roots On the Performance Of The Propomentioning

confidence: 99%

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Robust block roots assignment in linear discrete-time sliding mode control for a class of multivariable system: gas turbine power plant application

Nail

Kouzou

Hafaifa

2018

Transactions of the Institute of Measurement and Control

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This paper deals with the development of a new extended robust control algorithm based on the assignment of robust block roots to extended linear discrete-time sliding mode control; matrix fraction description (MFD) theory is used to improve the performance of the proposed control algorithm and make it more robust. To validate the proposed control algorithm, an application on a gas turbine system (GE MS5001P), which is used in electrical power generation plants, is presented in this paper. An autoregressive model with exogenous excitation is obtained for the studied system, based on the left MFD multivariable least-squares estimator, using real data obtained on-site in order to obtain a minimum-order model with optimum validation criteria. The main objective of the implementation of the proposed control algorithm within the presented application is to ensure stability in the dynamic behaviour of the gas turbine system. Furthermore, a comparison with some classical and modern controllers has been made to prove the effectiveness and robustness of the proposed control algorithm.

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“…A transfer function matrix of an invariant-time multivariable system can be formulated in block terms. After some manipulation (Bekhiti et al, 2015), it is given as…”

Section: Effectiveness Of Block Roots On the Performance Of The Propomentioning

confidence: 99%

Section: Effectiveness Of Block Roots On the Performance Of The Propomentioning

confidence: 99%

Robust block roots assignment in linear discrete-time sliding mode control for a class of multivariable system: gas turbine power plant application

Nail

Kouzou

Hafaifa

2018

Transactions of the Institute of Measurement and Control

Self Cite

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“…The system under examination is a power plant gas turbine (GE MS9001E) with single shaft, used as an electricity generator, installed in power station unit Sonelgaz at M'SILA, Algeria. The dynamic model of this gas turbine obtained via MIMO Recursive Least square estimator, using experimental inputs/outputs data acquired on-site and the obtained model is of order n=6 with two inputs: (Output Pressure Compressor (OPC), and Output Temperature Compressor (OTC)), and two outputs: (Exhaust Temperature and Rotor Speed) [ [46]]. In figure 2, the fundamental components of the system under study are given .…”

Section: Application In Control Engineeringmentioning

confidence: 99%

On The Block Decomposition and Spectral Factors of λ-Matrices

Bekhiti,

Dahimene,

Hariche

et al. 2018

Preprint

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In this paper we factorize matrix polynomials into a complete set of spectral factors using a new design algorithm and we provide a complete set of block roots (solvents). The procedure is an extension of the (scalar) Horner method for the computation of the block roots of matrix polynomials. The Block-Horner method brings an iterative nature, faster convergence, nested programmable scheme, needless of any prior knowledge of the matrix polynomial. In order to avoid the initial guess method we proposed a combination of two computational procedures . First we start giving the right Block-Q. D. (Quotient Difference) algorithm for spectral decomposition and matrix polynomial factorization. Then the construction of new block Horner algorithm for extracting the complete set of spectral factors is given.

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Polynomial fraction description

Tan¹

2017

A Generalized Framework of Linear Multivariable Control

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On Block roots of matrix polynomials based MIMO control system design

Cited by 7 publications

References 28 publications

Robust block roots assignment in linear discrete-time sliding mode control for a class of multivariable system: gas turbine power plant application

Robust block roots assignment in linear discrete-time sliding mode control for a class of multivariable system: gas turbine power plant application

On The Block Decomposition and Spectral Factors of λ-Matrices

Polynomial fraction description

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