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  • The using of the Hammerstein and Wiener models in the linear adaptive control of the nonlinear processes is described in this paper. The main aim of this research study is an increasing of the adaptive control quality by using of the factorable methods. The factorization of the nonlinear system into the nonlinear static part and the linear dynamic part is assumed in this paper. After that, the nonlinear static part is linearized by the suitable method and the linear dynamic part is used for the design of the linear controller. The transfer function of the linear dynamic part of the nonlinear system is assumed in the time-discrete secondorder Z-model form. Its parameters are estimated by the using of the time-discrete least-squares method with the directive forgetting. The estimated parameters of the linear dynamic part are used for the design of the linear time-discrete control system, which is represented by the two-degree of freedom control system configuration (2DOF). The resulting controller is derived by the using of the polynomial approach and the characteristic polynomial of the closed control loop is chosen by the using of the optimal LQ approach. The described method is tested on the nonlinear system which is represented by the servo-speed mechanism AMIRA DR300.
  • The using of the Hammerstein and Wiener models in the linear adaptive control of the nonlinear processes is described in this paper. The main aim of this research study is an increasing of the adaptive control quality by using of the factorable methods. The factorization of the nonlinear system into the nonlinear static part and the linear dynamic part is assumed in this paper. After that, the nonlinear static part is linearized by the suitable method and the linear dynamic part is used for the design of the linear controller. The transfer function of the linear dynamic part of the nonlinear system is assumed in the time-discrete secondorder Z-model form. Its parameters are estimated by the using of the time-discrete least-squares method with the directive forgetting. The estimated parameters of the linear dynamic part are used for the design of the linear time-discrete control system, which is represented by the two-degree of freedom control system configuration (2DOF). The resulting controller is derived by the using of the polynomial approach and the characteristic polynomial of the closed control loop is chosen by the using of the optimal LQ approach. The described method is tested on the nonlinear system which is represented by the servo-speed mechanism AMIRA DR300. (en)
Title
  • The Optimal LQ Approach in Adaptive Control of the Nonlinear Process with using of the Hammerstein and Wiener Models
  • The Optimal LQ Approach in Adaptive Control of the Nonlinear Process with using of the Hammerstein and Wiener Models (en)
skos:prefLabel
  • The Optimal LQ Approach in Adaptive Control of the Nonlinear Process with using of the Hammerstein and Wiener Models
  • The Optimal LQ Approach in Adaptive Control of the Nonlinear Process with using of the Hammerstein and Wiener Models (en)
skos:notation
  • RIV/70883521:28140/13:43870816!RIV14-MSM-28140___
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  • RIV/70883521:28140/13:43870816
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  • Adaptive control, optimal LQ control, nonlinear systems, cascade models, Hammerstein and Wiener models, 2DOF configuration, servo-speed mechanism AMIRA DR300 (en)
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  • [B4E15DB06883]
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  • Recent Advances in Systems Science Proceedings of the 17th International Conference on Systems (part of CSCC´13)
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  • Dostál, Petr
  • Babík, Zdeněk
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issn
  • 1790-5117
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  • WSEAS Press (GR)
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  • 978-960-474-314-8
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  • 28140
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