Feedback factorizing control of 3-D transfer functions via a canonical state-space model
✍ Scribed by S.G. Tzafestas; N.J. Theodorou
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 686 KB
- Volume
- 316
- Category
- Article
- ISSN
- 0016-0032
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✦ Synopsis
The problem offactorizing (separating) the transfer function of a given SISO 3-D discrete system, ie of a system depending on three independent variables, is considered. The 3-D system is assumed to be available in its transferfunction representation, which is converted to a canonical state-space model by a simple inspection procedure. Then applying state-feedback to this canonical model we choose thefeedback matrix gain (under certain conditions) such that the transfer function of the closed-loop system has the desired factorized form, ie a product of three 1-D transferfunctions each one being dependent on a single variable. The method is illustrated by a nontrivial numerical example.