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多模型自適應控制理論及應用

Survey of multi-model adaptive control theory and its applications

  • 摘要: 作為對經典自適應控制改進的控制方法,多模型自適應控制是解決復雜的大范圍參數不確定系統的一種有效途徑,并在理論和實踐中取得了豐富成果。依據控制器集的不同綜合策略,其被分為多種類型,本文旨在對加權型的多模型自適應控制進行綜述。加權多模型自適應控制的基本思路是采用“分而治之”的辦法,離線建立多個局部模型和對應的多個局部控制器,在線加權融合各個局部控制器的控制輸出,從而形成全局控制,是實現魯棒自適應控制的一類重要方法。首先比較詳細地介紹了加權多模型自適應控制研究的歷史及現狀,然后給出相關研究的新進展和一些觀點,包括新的加權算法和相應的加權多模型自適應控制系統的穩定性結果等,最后指出未來的幾個研究方向。

     

    Abstract: Multi-model adaptive control, as an improved method of classical adaptive control, can effectively solve the control performance issues for the complex systems with large parameter uncertainties. It has attracted increasing attention from scholars, and a vast array of research results have been achieved in theory and practice. According to the different synthesis methods of multiple local controllers corresponding to the multiple local models, the multi-model adaptive control scheme can be divided into different categories. This paper provides a survey of weighted multi-model adaptive control (WMMAC). The basic idea of the WMMAC is to adopt the method of “divide and conquer”; multiple local models and corresponding multiple local controllers are established offline, and the control outputs of local controllers are integrated online, such that the global control law can be formed. The WMMAC is a promising method to achieve strong robustness and a self-adaptive ability for control systems. First, we presented the development process and the main problems of the WMMAC. Then, the research status of control systems and the latest progress were shown, including model set construction and weighting algorithm design. To improve the rationality of model set construction, WMMACs with self-tuning model and even a dynamic model set have been developed. Meanwhile, to reduce the calculation burden, a new weighting algorithm has been designed, which is based on the model output errors of the multi-model adaptive control system. Especially for system stability analysis, which has always been a recognized problem in the WMMAC system, some research results have been obtained. The proof of system stability in the general sense has been given preliminarily by introducing the theory of virtual equivalent system. This paper gave a review of WMMAC in the order of the variation on the structure, the development of algorithms and its applications. Furthermore, the main problems in the control system were analyzed, and some potential research directions, which are the difficulties and emphases of future research including model set, weight calculation, disturbance rejection, stability, were pointed out.

     

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