Stability condition of predictive functional control based on Kautz model
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摘要: 對模型未知的系統采用Kautz函數逼近得到系統的近似模型.基于所得到的Kautz模型設計了一種預測函數控制器.對該算法進行了穩定性分析,依據Lyapunov穩定性定理得到了保證閉環控制系統穩定的充分條件.仿真實驗證明,該算法能夠準確逼近真實系統模型,實現自適應控制,得到滿意的控制效果.
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關鍵詞:
- 預測函數控制 /
- Kautz模型 /
- 最小二乘辨識 /
- Lyapunov穩定性
Abstract: The orthogonal Kautz function was used to obtain the approximate model of a system. An adaptive predictive functional control algorithm using the Kautz model was designed. The stability of the algorithm was analyzed, and the sufficient condition to make a closed-loop system stable was presented based on the Lyapunov stability theory. Simulation results show that the proposed algorithm is effective, which can describe the system exactly and reach a high degree of control performance.-
Key words:
- predictive functional control /
- Kautz model /
- RLS /
- Lyapunov stability
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