Accelerated Opposition-Based Antlion Optimizer with Application to Order Reduction of Linear Time-Invariant Systems

Dinkar, Shail Kumar; Deep, Kusum

doi:10.1007/s13369-018-3370-4

Cited by 29 publications

(10 citation statements)

References 52 publications

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“…From Figure 3(b), it can be observed that the impulse response of the proposed is distinctly superior when compared against [30], whereas the step response also attains a marginally better agreement with the original systems' behavior. [24] for Example 4.…”

Section: ) Examplementioning

confidence: 99%

“…Optimal reduction of LTI SISO systems using the Luus-Jakola algorithm was reported in [21]. Metaheuristics such as the Cuckoo Search Algorithm (CSA) [22], modified CSA [23], Ant Lion Optimization (ALO) [24], and accelerated Opposition-based ALO (OB-ac-ALO) [24] algorithms were used to optimally determine the coefficients of the ROM by minimizing the integral square error (ISE) between the original system and the ROM, when subjected to a unit step input.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…(i) The techniques reported in [22]- [24], and [37] determine the optimal coefficients of the ROM directly by minimizing the ISE based on the unit step response, which is a time-domain performance metric. Since steady-state matching condition is not incorporated, these methods may exhibit finite steady-state error (for e.g., [24], [37]). Furthermore, as reported in [33], the fast transient characteristics of the original system may not be clearly identified by employing the step input for MOR problems.…”

Section: Introductionmentioning

confidence: 99%

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A Robust Frequency-Domain-Based Order Reduction Scheme for Linear Time-Invariant Systems

Mahata

Herencsár²,

Alagöz

et al. 2021

IEEE Access

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This paper presents a robust model order reduction technique with guaranteed stability, minimum phase, and matched steady-state response for linear time-invariant single-input-single-output systems. The proposed approach is generalized, allowing the designer to select any desired order of the reduced-order model (ROM). In contrast to the published literature, which primarily uses the time-domain behavior, the proposed technique utilizes the frequency-domain information of the full-order system. The suggested strategy allows the determination of the optimal ROM in a single step, simpler than the various recently reported mixed methods. The robustness is demonstrated using convergence studies and statistical measures about the final solution quality and model coefficients. The superiority over the recent literature is illustrated through four numerical examples using various time-domain and frequency response performance metrics.INDEX TERMS Frequency response, linear time-invariant system, model order reduction, reduced-order modelling, single-input-single-output system.

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Section: ) Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Robust Frequency-Domain-Based Order Reduction Scheme for Linear Time-Invariant Systems

Mahata

Herencsár²,

Alagöz

et al. 2021

IEEE Access

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show abstract

“…Also in [133], [134], the same authors introduced 2 new variant of ALO called OB-ac-ALO, and OB-C-ALO. The first algorithm is based on OBL and acceleration coefficient(ac), while the second use OBL besides Cauchy distribution.…”

Section: ) Lévy Alo and Opposition-based Alomentioning

confidence: 99%

Ant Lion Optimization: Variants, Hybrids, and Applications

2020

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Ant Lion Optimizer (ALO) is a recent novel algorithm developed in the literature that simulates the foraging behavior of a Ant lions. Recently, it has been applied to a huge number of optimization problems. It has many advantages: easy, scalable, flexible, and have a great balance between exploration and exploitation. In this comprehensive study, many publications using ALO have been collected and summarized. Firstly, we introduce an introduction about ALO. Secondly, we categorized the recent versions of ALO into 3 Categories mainly Modified, Hybrid and Multi-Objective. we also introduce the applications in which ALO has been applied such as power, Machine Learning, Image processing problems, Civil Engineering, Medical, etc. The review paper is ended by giving a conclusion of the main ALO foundations and providing some suggestions & possible future directions that can be investigated.

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A Novel CPU Scheduling Algorithm Based on Ant Lion Optimizer

Dinkar

Deep

2018

Advances in Intelligent Systems and Computing

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Accelerated Opposition-Based Antlion Optimizer with Application to Order Reduction of Linear Time-Invariant Systems

Cited by 29 publications

References 52 publications

A Robust Frequency-Domain-Based Order Reduction Scheme for Linear Time-Invariant Systems

A Robust Frequency-Domain-Based Order Reduction Scheme for Linear Time-Invariant Systems

Ant Lion Optimization: Variants, Hybrids, and Applications

A Novel CPU Scheduling Algorithm Based on Ant Lion Optimizer

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