Điều khiển truy cập dựa trên định lượng cho các hệ thống nhảy Markov bị nhiễu loạn đặc biệt với thông tin chuyển tiếp không đầy đủ và mất gói tin

Springer Science and Business Media LLC - Tập 111 Số 10 - Trang 9255-9273 - 2023
Guo, Fang1, Luo, Mengzhuo1,2, Cheng, Jun3, Wang, Xin4, Shi, Kaibo5
1College of Science, Guilin University of Technology, Guilin, People’s Republic of China
2Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin, People’s Republic of China
3College of Mathematics and Statistics, Guangxi Normal University, Guilin, People’s Republic of China
4School of Cyber Science and Engineering, Sichuan University, Chengdu, People’s Republic of China
5School of Information Science and Engineering, Chengdu University, Chengdu, People’s Republic of China

Tóm tắt

Trong bài viết này, vấn đề điều khiển theo dõi đối với các hệ thống bị nhiễu loạn đặc biệt kiểu rời rạc với chuỗi Markov đồng nhất một phần chịu tác động của định lượng và mất gói tin được giải quyết dựa trên ước lượng mờ Takagi–Sugeno (T–S). Đầu tiên, sự biến đổi ngẫu nhiên của xác suất chuyển đổi chế độ với những đặc điểm thay đổi theo thời gian được xem xét trong một tập hợp hữu hạn, điều này được chi phối bởi một chuỗi Markov đồng nhất bậc cao hơn. Hơn nữa, thông tin bán bí mật trong ma trận xác suất chuyển đổi bậc cao (HTPs) được giải quyết bằng cách xây dựng một khung thống nhất, bao gồm chuyển đổi ngẫu nhiên và chuyển đổi tùy ý như những trường hợp đặc biệt, đồng thời. Thứ hai, xem xét gánh nặng của việc truyền thông qua mạng giữa các thành phần, tác động của định lượng và mất gói tin do các hạn chế do mạng gây ra được tích hợp vào thiết kế đồng thời của bộ điều khiển theo dõi mờ, mà phụ thuộc vào chế độ và sự biến đổi. Một vài tiêu chí cho sự ổn định ngẫu nhiên và hiệu suất $${\mathcal {H}}_{\infty }$$ của hệ thống gia tăng được suy ra bằng cách thiết lập một loạt bất đẳng thức ma trận tuyến tính. Cuối cùng, hai ví dụ mô phỏng được đưa ra để xác minh tính khả thi và hiệu quả của các thiết kế điều khiển được đề xuất.

Từ khóa

#điều khiển theo dõi; hệ thống nhảy Markov; chuỗi Markov đồng nhất; tác động của định lượng; mất gói tin; ma trận xác suất chuyển đổi; ổn định ngẫu nhiên

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