For monovariable systems, if the nominal transfer function is irreducible the minimal order is tlw clqwr of'tllr(/~~tl(~l~litl~ltot.~)ol!'l~ol~liCtl. In multivariable systems. this order is (I/ krst equal to the degree of the last common multiple of the denominators of the transfer matrix function e
Analysis of second-order multivariable linear systems
โ Scribed by Z. Trzaska
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 475 KB
- Volume
- 327
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
m~thod,s are diScUs.Sed,fkw the sohJtion of' second-order state-rariuhie equations and their upplicution to the stud)> of'dynamical multicariuhle lineur s!~stems. T\CYI d$&wnt approaches are presented. A mqjor one is based on the matrix Lapluce tramform and rmtris polynoniial ~fuc'torization. Serwul cases are considered, and suituhle expressions for the second--order matrix polynomial .fhctorization are deneloped. Particulur relations between system ekment parameters are discussed, und some simple criteria .fbr stahilit~~ are derived.
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A satisfactory closed-loop linear system may be obtained via a sequence of single-loop designs, in which classical techniques such as Nyquist diagrams, root-loci etc. are employed. Summary--This paper describes a computer-aided procedure whereby a succession of single-loop designs, using Nyquist lo
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The method of' reducing the order of's linear multir~ariablr system is discussrd. The dominant poles of the original system are retainc~d,.f~llor~c?d by matching the steady state parts of the unit step responses qf' the original and reduced systems. Each element of' the tran.sfkr Junction matri.x (?