Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
An Extension of the Smith Predictor Method to Multivariable Time-Varying Systems with Time Delays in the Control Variables
Eiji NAKANISHIKoji NANBARA
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1980 Volume 16 Issue 6 Pages 846-851

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Abstract
The idea of the Smith Predictor, which was originally defined in the s-domain for single-variable time-invariant systems, is extended to multivariable time-varying systems with time delays in the control variables. A new t-domain's predictor is first devised to take the time delay element out of the feedback control loop of the single-variable time-varying system. Next the multivariable time-varying system is decomposed by using the decoupling condition into a set of single-variable systems each of which has the abovementioned predictor. A numerical example is given to explain the design procedure of such a multivariable Smith Predictor and also to demonstrate the considerably improved performance of a multivariable time-varying feedback control system having the multivariable Smith Predictor.
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