Observable state space realizations for multivariable systems

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• 作者：Ya Gu^a ; ^{guya927819@163.com} ; Ruifeng Ding^b ; ^{rfding@yahoo.cn}
• 关键词：State space model ; Canonical form ; State variable ; Difference equation
• 刊名：Computers and Mathematics with Applications
• 出版年：2012
• 期刊代码：37_08981221
• 类别：cp
• 出版时间：May, 2012
• 卷：63
• 期：9
• 页码：1389-1399
• 文件大小：235 K

摘要

This paper derives two canonical state space forms (i.e.,聽the observer canonical form and the observability canonical form) from multiple-input multiple-output systems described by difference equations. The state space model is expressed by the first-order difference equation and is equivalent to the input-output representation. More specifically, by setting the different state variables, the difference equations or the input-output representations can be transformed into two observable canonical forms and the canonical state space model can be also transformed into the difference equations. Finally, two examples are given.