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An improvement in the Routh-Padé approximation techniques

1982; Taylor & Francis; Volume: 36; Issue: 4 Linguagem: Inglês

10.1080/00207178208932921

1366-5820

A. Lepschy, Umberto Viaro,

Fractional Differential Equations Solutions

Abstract A method for approximating high order stable systems via lower order stable models is presented. It is an improvement over previous Routh-Padé methods since the denominator polynomial of the model transfer function, even if based on the elements of a Routh array, contains two free parameters. A systematic procedure is illustrated for evaluating, besides the numerator coefficients, such denominator parameters in order to ensure a good fit, in the Padé sense, and a suitable stability margin.