Multiobjective weighted sum approach model reduction by Routh--Pad\'{e} approximation using harmony search

Soloklo, Hasan Nasiri; Farsangi, Malihe M.

doi:10.3906/elk-1112-31

Cited by 38 publications

(23 citation statements)

References 32 publications

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“…Soloklo and farsangi [22] proposed a new approach based on weighted-sum multi-objective approach for reduction of high model. In this approach, Routh-Pade approximation, along with the harmony search is utilized to optimize the parameters of the reduced model.…”

Section: Introductionmentioning

confidence: 99%

A Novel Approach for Model Order Reduction in Discrete Time System

Hasan¹,

Jaafar²,

Shaker³

2021

IJIES

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In modern digital control system such as model reference control and model predictive control, where the real time calculation is the main challenge, the model order reduction has become very important issue to minimize the execution time. In this work, our aim is to construct a novel technique for reduction of high order discrete time systems. This could be achieved by computation algorithm model from a given high order pulse transfer function. The proposed model is based on matching the weighting sequence of the original parameters with those adopted in the low-order model. The generalized least squares method is then used to determine the reduced model parameters. The efficiency of the proposed algorithm is validated by using the integral squared error minimization between the original system and the reduced model. An example is presented and discussed to validate the efficiency of the proposed low-order model. Performance comparisons with many recent related works showed that the proposed model is promising in terms of low error indices and time responses.

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Section: Introductionmentioning

confidence: 99%

A Novel Approach for Model Order Reduction in Discrete Time System

Hasan¹,

Jaafar²,

Shaker³

2021

IJIES

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“…The important methods are Eigen permutation for finding the numerator parameter with Jaya algorithm for finding the denominator parameter (3) , cuckoo algorithm (4) , fuzzy c-means (5) . Physics based algorithm such as big bang big crunch with time moment matching (6) , bat algorithm (7) stability equation with genetic algorithm (8) , Routh pade approximation with the harmony search algorithm (9) , Invasive weed optimization for MIMO system (10) .…”

Section: Introductionmentioning

confidence: 99%

Mixed Method for Model Order Reduction Using Meta Heuristic Harris Hawk and Routh Hurwitz Array Technique

Sharma¹,

Sambariya²

2021

IJST

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A physical system is of higher-order and it is hectic for researchers to understand these systems in higher mathematical form. So, there is a requirement for systematic conversion of higher-order into a lower order. The lower order approximately gives the same result as that of the higher-order by preserving the important properties of higher-order. But the lower order retains some approximation error. Objective: The objective is to optimise the reduced-order by minimizing the integral square error between the higherorder system (HOS) and the lower-order system (LOS). Methodology: For the optimization process the novel harris hawk hunting behaviour is optimized. It is applied to find the unknown numerator by applying the novel algorithm. The denominator parameter is obtained by the Routh Hurwitz Array technique. Finding: The proposed technique is applied on a linear time-invariant single input single output system of higher-order which is randomly selected from the literature. To justify the proposed technique, the result obtained is compared with the result available in the literature. The comparison is based on the step response characteristics of the diminished order with original and result accessed from literature. The response indices such as integral square, integral absolute, integral time absolute errors are also compared. The error gets minimized and results improved as associated with the result presented in the literature.

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“…All the control system and power system networks defined in MATLAB using a block diagram in SIMULINK portion may represent a higher-order transfer function for that system [4]. This transfer function for the simplicity or for ease of operation must be reduced to a lower-order transfer function using a reduction technique prevalent in literature such as Routh approximation [5], Pade approximation [6], Routh-Pade method [7,8], Stability equation method [9,10,11,12], Differentiation method [2,3,4,13], Routh Stability array method [10,14], pole clustering [15], integral square error method [1] and/or based on soft computing techniques such as genetic algorithm (GA) [16,17], particle swarm optimization (PSO) [18,19], bat algorithm (BA) [1] and Harmony search algorithm [7] etc.…”

Section: Introductionmentioning

confidence: 99%

Model Order Reduction by Routh Stability Array with Stability Equation Method for SISO and MIMO Systems

Sambariya¹,

Rajawat²

2016

ujes

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In this paper, the technique applicable to reduce a high-order system to a low-order system is presented. The methods used are Routh stability array (RSA) method and stability equation (SE) method to get the reduced model of systems. The application of the techniques is examined over SISO linear time invariant systems and extended to MIMO systems. The step response performance of the reduced models gets compared to the original system as well as reduced models in literature in terms of rise-time, settling-time, peak-time and peak of the system. The comparative study reveals that the performances of the reduced models using proposed RSA and SE methods are encouraging as compared to that of with reduced models in literature.

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Multiobjective weighted sum approach model reduction by Routh--Pad\'{e} approximation using harmony search

Cited by 38 publications

References 32 publications

A Novel Approach for Model Order Reduction in Discrete Time System

A Novel Approach for Model Order Reduction in Discrete Time System

Mixed Method for Model Order Reduction Using Meta Heuristic Harris Hawk and Routh Hurwitz Array Technique

Model Order Reduction by Routh Stability Array with Stability Equation Method for SISO and MIMO Systems

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