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1 Systems Science

1 2010

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Parity equations-based unknown input estimator for multiple-input multiple-output linear systems

Sumisławska M., Larkowski T., Burnham K. J.

Systems Science

2010

Vol. 36, no 3

49-59

This paper presents a novel approach to the problem of unknown input estimation of multiple-input multiple-output systems. In the setup considered the measured output signals are affected by white zero-mean Gaussian measurement noise. The observer developed here is based on the parity equations concept and the Lagrange multiplier method is used to obtain an analytical solution for the filter parameters, hence minimising the unwanted effect of the noise. The paper extends the concept of the parity equation based unknown input observer approach, which has been previously developed by the authors for the case of single-input single-output systems. A simulation study is carried out, which illustrates a potential application of the proposed approach to a steel rolling mill for the purpose of improving the control performance.