Thiết kế điều khiển mờ cho các hệ thống trễ thời gian dưới cơ chế kích hoạt sự kiện thích ứng

Zhenbin Du1, Zifang Qu2, Yonggui Kao3, Zhaojing Wu4
1School of Computer and Control Engineering, Yantai University, Yantai, China
2School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, China
3Department of Mathematics, Harbin Institute of Technology, Weihai, China
4School of Mathematics and Information Sciences, Yantai University, Yantai, China

Tóm tắt

Bài báo này nghiên cứu vấn đề thiết kế điều khiển \( {\mathcal {H}}_{\infty } \) cho các hệ thống trễ thời gian phi tuyến trong dạng mờ thông qua cơ chế kích hoạt sự kiện thích ứng. Mô hình mờ và bộ điều khiển kích hoạt sự kiện thích ứng được kết nối theo dạng vòng kín. Một hàm vòng lặp được thiết lập để thực hiện phân tích độ ổn định, và đặc điểm chính của hàm này có thể phản ánh đầy đủ đặc điểm lấy mẫu của các hệ thống điều khiển. Do đó, các kết quả đạt được ít bảo thủ hơn. Định lý Wringter cũng được sử dụng để làm giảm thêm phân tích độ ổn định. Cuối cùng, các điều kiện đủ được xác định cho sự tồn tại của bộ điều khiển mờ kích hoạt sự kiện, và hệ thống vòng kín thu được đạt được hiệu suất điều khiển \( {\mathcal {H}}_{\infty } \). Hai ví dụ được cung cấp để xác minh hiệu quả của chiến lược điều khiển được trình bày.

Từ khóa

#Điều khiển mờ #Hệ thống trễ thời gian #Cơ chế kích hoạt sự kiện thích ứng #Phân tích độ ổn định #Hiệu suất điều khiển

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