Observable state space realizations for multivariable systems

Authors:
Ya Gu;Ruifeng Ding
Affiliations:
Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, PR China;School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

This paper derives two canonical state space forms (i.e., 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.