Least Squares Identification for Hammerstein Multi-input Multi-output Systems Based on the Key-Term Separation Technique |
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Authors: | Qianyan Shen Feng Ding |
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Affiliation: | 1.Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education),Jiangnan University,Wuxi,People’s Republic of China |
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Abstract: | System modeling and parameter estimation are basic for system analysis and controller design. This paper considers the parameter identification problem of a Hammerstein multi-input multi-output (H-MIMO) system. In order to avoid the product terms in the identification model, we derive a pseudo-linear identification model of the H-MIMO system through separating a key term from the output equation of the system and present a hierarchical generalized least squares (LS) algorithm for estimating the parameters of the system. Moreover, we present a new LS algorithm to reduce the computational burden. The proposed algorithms are simple in principle and can achieve a higher computational efficiency than the over-parameterization-based LS estimation algorithm. Finally, we test the proposed algorithms by the simulation example and show their effectiveness. |
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