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

Sambariya, D. K.; Rajawat, A. S.

doi:10.13189/ujes.2016.040101

Cited by 13 publications

(9 citation statements)

References 44 publications

(68 reference statements)

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“…The algorithm based on swarm, physics and traditional methods are compared. The particle swarm optimization with stability equation in [31] , cuckoo search algorithm [30] , Cuckoo search algorithm with SE [34] are compared along with the traditional methods and mixed methods and proposed result is better. This proves that the HHO is effective in MOR field.…”

Section: Results Analysis and Discussionmentioning

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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Section: Results Analysis and Discussionmentioning

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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“…The higher-order mentioned in Equation ( 30) is reduced according to the steps from Equation (19)(20)(21)(22)(23)(24)(25). The routhain array for obtaining the reduced-order given in…”

Section: Implementation and Results Analysismentioning

confidence: 99%

“…Factor division with Routh Hurwitz array [18], Eigen spectrum analysis and Cauer Second from [19], Cauer application [20].Eigen spectrum and Pade approximation [21] factor division method with SE in [22]. Stability array with SE method in [23]. Differential equation method used to derive the denominator parameter .Routhain-array method for obtaining the numerator parametd [24] are used to obtain the ROM .…”

Section: Introductionmentioning

confidence: 99%

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A Novel Mixed Method Using MM-SE with Change in Routhain Array for Model Order Reduction

Sharma

Sambariya

2021

Preprint

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The system modelling leads towards the higher-order differential equations. These systems are difficult to analyse. Therefore, for ease and understanding, the conversion of higher to lower order is required. The model order reduction(MOR) is a systematic procedure to tackle these kinds of situations. This paper offers a mixed method for MOR using the modified moment matching (MM) and stability equation (SE). The modification is applied in the routhain array of MM. The approach has been verified by examining the error between the original, proposed and compared with reduced order available in the literature. The obtained result has been compared on the basis of step response characteristics and the response indices error.

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“…Response error indices of proposed and 2nd order available in the literature[35,[37][38][39][40][41][42][43][44][45][46] …”

mentioning

confidence: 99%

Archives of Electrical Engineering

Sharma,

Sambariya

2021

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Physical machine systems are represented in the form of differential equations. These differential equations may be of the higher order and difficult to analyses. Therefore, it is necessary to convert the higher-order to lower order which replicates approximately similar properties of the higher-order system (HOS). This article presents a novel approach to reducing the higher-order model. The approach is based on the hunting demeanor of the hawk and escaping of the prey. The proposed method unifies the Harris hawk algorithm and the moment matching technique. The method is applied on single input single output (SISO), multi-input multi-output (MIMO) linear time-invariant (LTI) systems. The proposed method is justified by examining the result. The results are compared using the step response characteristics and response error indices. The response indices are integral square error, integral absolute error, integral time absolute error. The step response characteristics such as rise time, peak, peak time, settling time of the proposed reduced order follows 97%-100% of the original system characteristics.

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

Cited by 13 publications

References 44 publications

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

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

A Novel Mixed Method Using MM-SE with Change in Routhain Array for Model Order Reduction

Archives of Electrical Engineering

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