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**Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods.**
*(English)*
Zbl 1219.93141

Summary: This paper studies the modelling and identification problems for multi-input single-output (MISO) systems with colored noises. In order to obtain the unbiased recursive estimates of the systems, this paper presents a recursive least squares (RLS) identification algorithm based on bias compensation technique. The basic idea is to eliminate the estimation bias by adding a correction term in the least squares (LS) estimates, a set of stable digital prefilters are suitably designed to preprocess the input sampled data from multi-input channels for the purpose of getting the bias term arisen by colored noises in LS estimates, and further to derive a bias compensation based RLS algorithm. The performance of the developed method is both analyzed theoretically and shown by means of simulation results.

### MSC:

93E12 | Identification in stochastic control theory |

93E24 | Least squares and related methods for stochastic control systems |

### Keywords:

MISO systems; parameter estimation; recursive identification; least squares; bias compensation principle
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\textit{Y. Zhang}, Math. Comput. Modelling 53, No. 9--10, 1810--1819 (2011; Zbl 1219.93141)

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### References:

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