Complex domain transformations for 2D systems in state-space description

Agathoklis, P.; Kanellakis, A.

doi:10.1109/iscas.1992.230153

Cited by 7 publications

(9 citation statements)

References 7 publications

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“…Next, nitrogen gas and magnesium powder are blown into molten iron to make it boiling. Under the condition of high temperature, dramatic chemical reactions take place between magnesium agent and sulfur in the molten iron, and produces magnesium sulfide [2] . At this point, hot metal desulfurization is completed.…”

Section: The Process Of Hot Metal Desulphurizationmentioning

confidence: 99%

“…It is a typical multivariable control system. If this project is placed in the framework of the multidimensional system control theory and taken into consideration, then the system is a MIMO system [1,[5][6][7][8][9][10] . For a given multidimensional system, the description of its state-space is expressed as:…”

Section: The Realization Of Multivariable Fuzzy Controllermentioning

confidence: 99%

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The Application of Multivariable Fuzzy Control Based on Multidimensional System to Hot Metal Desulphurization

Cheng¹,

Daoqing²,

Geng-guo³

2014

2014 International Conference on Automatic Control Theory and Application

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Abstract-Hot metal desulphurization is a very important step in the process of steel production. The production process can not be well controlled by use of traditional control methods. This paper introduced the application of multivariable fuzzy control technology to hot metal desulphurization. Using the features of fuzzy controller, the coupling in multivariable fuzzy system can be eliminated from the perspective of control structure through decomposing fuzzy relation equations. The problems of large delay, nonlinear, and the difficulty to establish precise mathematical model can be well overcome. This technology has achieved remarkable control effect on hot metal desulphurization.

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Section: The Process Of Hot Metal Desulphurizationmentioning

confidence: 99%

Section: The Realization Of Multivariable Fuzzy Controllermentioning

confidence: 99%

The Application of Multivariable Fuzzy Control Based on Multidimensional System to Hot Metal Desulphurization

Cheng¹,

Daoqing²,

Geng-guo³

2014

2014 International Conference on Automatic Control Theory and Application

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“…, z n ) (9) obtained by using the n-variable bilinear transformation. Now substituting (12) into (13) immediately yields the result of (8).…”

Section: New Formulationsmentioning

confidence: 99%

“…A simple relationship between the state-space representations of a one-dimensional (1-D) discrete system and a 1-D continuous system, which are related by (univariable) bilinear transformation, is given in [10] while the case for the double bilinear transformation has been investigated in [11][12][13][14] in terms of the 2-D Roesser state-space model [17]. The statespace formulation given in [12,13] is described by using the block matrices of the Roesser model and possesses a rather complicated form. A simpler result has been given in [11] based on block diagram analysis for the transformed system.…”

Section: Introductionmentioning

confidence: 99%

“…The corresponding statespace formulation will be derived by utilizing the Redheffer star product of LFT representations [19]. Moreover, it turns out that the proposed state-space formulation for the n-variable bilinear transformation includes the 1-D and 2-D results given in [10][11][12][13][14] as special cases. A numerical example is given to illustrate the effectiveness of the proposed formulation.…”

Section: Introductionmentioning

confidence: 99%

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State-space formulation of n-variable bilinear transformation for n-D systems

Shiratori

Shi

Shieh

et al. 2010

Proceedings of 2010 IEEE International Symposium on Circuits and Systems

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This paper establishes a general relationship between the state-space representations of an n-D continuous system and an n-D discrete system which are related by the n-variable bilinear transformation. In particular, a novel and simple formulation will be derived based on the theory of linear fractional transformation (LFT), by which the state-space representations of an n-D continuous system and an n-D discrete system can be directly calculated from each other such that they are related by the n-variable bilinear transformation. Moreover, it will be shown that the obtained formulation includes the existing results for the 1-D and 2-D cases as special cases. A numerical example is presented to illustrate the effectiveness of the proposed formulation.

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Simple state-space formulations of 2-D frequency transformation and double bilinear transformation

Shi

Shiratori

2009

Multidim Syst Sign Process

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Complex domain transformations for 2D systems in state-space description

Cited by 7 publications

References 7 publications

The Application of Multivariable Fuzzy Control Based on Multidimensional System to Hot Metal Desulphurization

The Application of Multivariable Fuzzy Control Based on Multidimensional System to Hot Metal Desulphurization

State-space formulation of n-variable bilinear transformation for n-D systems

Simple state-space formulations of 2-D frequency transformation and double bilinear transformation

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