The derivation of simple transfer function models of oscillating and inverting processes from the basic transformed equations using the method of moments

✍ Scribed by F.P. Lees

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 525 KB
• Volume: 26
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(71)87004-5

✦ Synopsis

The parameters of simple transfer function models of chemical processes can be obtained from the state variable models usually derived by matching the moments of the impulse response of the two models. It has been shown previously how the moments of the state variable model may be derived directly from the basic transformed equations and how the parameters of simple monotonic models may be determined from these moments. This work is here extended to show how the parameters of simple oscillatory and inverting models may be calculated from the moments. The oscillatory model is and the inverting model is 1+17 7) G(s) =---1+7is 1 +Tqs' An algorithm is given which makes it possible to determine from the state variable model and its moments the type of response (monotonic, oscillatory, inverting) and hence the simple model to be used.