A New Approach to Design Multi-loop Control Systems with Multiple Controllers

Gambier, Adrián; Wellenreuther, A.; Badreddin, Essameddin

doi:10.1109/cdc.2006.377560

Cited by 19 publications

(5 citation statements)

References 15 publications

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“…The final result is the switching function acquired from the switching function and the corresponding reference signal [34]. -Multi-loop control systems with multiple controllers: in this approach the controllers are assumed to be players of a non-zero sum cooperative game [21].…”

Section: Multiple Objective Optimal Controlmentioning

confidence: 99%

Dynamic programming and optimal control for vector-valued functions: A state-of-the-art review

Abdelaziz

Torre

Alaya³

2021

RAIRO-Oper. Res.

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Section: Multiple Objective Optimal Controlmentioning

confidence: 99%

Dynamic programming and optimal control for vector-valued functions: A state-of-the-art review

Abdelaziz

Torre

Alaya³

2021

RAIRO-Oper. Res.

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“…Without loss of generality, we may consider the initial condition for system (4) to be equal to zero. Furthermore, let us assume that A has only real eigenvalues and pair (A, B) is controllable.…”

Section: Problem Statementmentioning

confidence: 99%

“…The case considered most often in the literature is an optimization problem with a vector of a finite number of criteria on the final state of the system (see, e.g., [3]). Apart from this, mulitcriteria optimization may be applied in control science to the controller tuning problem in the case of multiple performance indices [8] or multi-loop control systems [4]. However, apart from obtaining an optimal final state, one may seek to minimize the criteria throughout the whole control process.…”

Section: Introductionmentioning

confidence: 99%

A sufficient condition for existence of constantly nondominated trajectories in linear time-invariant systems

Domka

2018

automat

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This paper considers the multi-criteria optimal control problem in linear time-invariant systems with a single bounded input. It has been proven that, under certain assumptions, a state trajectory is non-dominated throughout the whole control process if and only if it is yielded by a control signal that belongs to a particular class of bang-bang functions. Furthermore, an explicit formula relating hyperplanes tangent to an attainable set and control switching times is presented.

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“…Some methods adopt the multiloop technique which consists in decomposing the multivariable system into a set of monovariable subsystems. [1][2][3] Nevertheless, these methods can not take into account the coupling feature of multivariable systems. 4 Thus, in order to preserve for real plants their own multivariable structures, some important identification methods have been proposed as a general solution.…”

Section: Introductionmentioning

confidence: 99%

“…Some methods adopt the multiloop technique which consists in decomposing the multivariable system into a set of monovariable subsystems. 1–3 Nevertheless, these methods can not take into account the coupling feature of multivariable systems. 4…”

Section: Introductionmentioning

confidence: 99%

Extension of a clustering identification approach to multivariable piecewise affine systems: Application to an industrial dryer

Zeineb,

Kamel

2024

Proceedings of the Institution of Mechanical Engineers, Part I:

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The main objective of this paper is the extension of the clustering-based identification approach to Multi-Input Multi-Output (MIMO) PieceWise Affine systems (PWA). This approach is performed by three main steps which are data clustering, parameters matrices estimation and regions computing. Data clustering is the most important step because the performances depend on the results given by the used clustering algorithm. In the case of MIMO PWA systems, we should cluster matrices of parameters which are considered high dimensional data. However, most of the conventional clustering algorithms are not efficient since the similarity assessment which is based on the distances between objects is fruitless in high dimension space. Therefore, we propose an extension of the DBSCAN (Density Based Spatial Clustering of Applications with Noise) clustering technique to identify MIMO PWA systems. The simulation results presented in this paper illustrate the performance of the proposed method. An application to an industrial dryer of Di-Calcium Phosphate (DCP) is also presented in order to strengthen the simulation results.

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A New Approach to Design Multi-loop Control Systems with Multiple Controllers

Cited by 19 publications

References 15 publications

Dynamic programming and optimal control for vector-valued functions: A state-of-the-art review

Dynamic programming and optimal control for vector-valued functions: A state-of-the-art review

A sufficient condition for existence of constantly nondominated trajectories in linear time-invariant systems

Extension of a clustering identification approach to multivariable piecewise affine systems: Application to an industrial dryer

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