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Optimal Routh approximants through integral squared error minimisation: computer-aided approach

Optimal Routh approximants through integral squared error minimisation: computer-aided approach

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  • Author(s): V. Singh 1 ; D. Chandra 2 ; H. Kar 1
    • View affiliations
    • Affiliations: 1: Department of Electrical-Electronics Engineering, Faculty of Engineering, Atilim University, Ankara, Turkey
      2: Department of Electrical Engineering, Motilal Nehru National Institute of Technology, Allahabad, India
  • Source: Volume 151, Issue 1, January 2004, p. 53 – 58
    DOI:  10.1049/ip-cta:20040007 , Print ISSN 1350-2379, Online ISSN 1359-7035
IEE
Published

A computer-aided method for obtaining a reduced-order approximant of a given (stable) single-input single-output system based on the minimisation of integral squared error (ISE) pertaining to a unit-step input is presented. Both the numerator and denominator coefficients of the model are treated as free parameters in the process of optimisation. The method has a built-in stability-preserving feature. The problem of formulating the ISE is circumvented by introducing a set of equality constraints.

Inspec keywords: control system CAD; Routh methods; reduced order systems; input-output stability; minimisation

Other keywords: numerator coefficients; denominator coefficients; optimisation; ISE minimisation; integral squared error; reduced order approximant; optimal routh approximants; equality constraints; single input single output system; built in stability; computer aided method

Subjects: Optimisation techniques; Control system analysis and synthesis methods; Stability in control theory

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