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              含有輸入時滯的非線性系統的輸出反饋采樣控制

              馬倩 盛兆明 徐勝元

              馬倩, 盛兆明, 徐勝元. 含有輸入時滯的非線性系統的輸出反饋采樣控制. 自動化學報, xxxx, xx(x): x?xx doi: 10.16383/j.aas.c220774
              引用本文: 馬倩, 盛兆明, 徐勝元. 含有輸入時滯的非線性系統的輸出反饋采樣控制. 自動化學報, xxxx, xx(x): x?xx doi: 10.16383/j.aas.c220774
              Ma Qian, Sheng Zhao-Ming, Xu Sheng-Yuan. Sampled-data output feedback control for nonlinear systems with input delay. Acta Automatica Sinica, xxxx, xx(x): x?xx doi: 10.16383/j.aas.c220774
              Citation: Ma Qian, Sheng Zhao-Ming, Xu Sheng-Yuan. Sampled-data output feedback control for nonlinear systems with input delay. Acta Automatica Sinica, xxxx, xx(x): x?xx doi: 10.16383/j.aas.c220774

              含有輸入時滯的非線性系統的輸出反饋采樣控制

              doi: 10.16383/j.aas.c220774
              基金項目: 國家自然科學基金(62173183)資助
              詳細信息
                作者簡介:

                馬倩:南京理工大學自動化學院教授. 主要研究方向為時滯系統, 多智能體系統和非線性系統的分析與控制. 本文通信作者. E-mail: qianmashine@gmail.com

                盛兆明:南京理工大學自動化學院博士研究生. 主要研究方向為非線性系統的分析與控制. E-mail: kzzxtmcszm@163.com

                徐勝元:南京理工大學自動化學院教授. 主要研究方向為廣義系統, 時滯系統和非線性系統的分析與控制. E-mail: syxu@njust.edu.cn

              Sampled-data Output Feedback Control for Nonlinear Systems With Input Delay

              Funds: Supported by National Natural Science Foundation of China (62173183)
              More Information
                Author Bio:

                MA Qian Professor at the School of Automation, Nanjing University of Science and Technology. Her research interest covers the analysis and control of time-delay systems, multi-agent systems, and nonlinear systems. Corresponding author of this paper

                SHENG Zhao-Ming Ph. D. candidate at the School of Automation, Nanjing University of Science and Technology. His research interest is the analysis and control of nonlinear systems

                XU Sheng-Yuan Professor at the School of Automation, Nanjing University of Science and Technology. His research interest covers the analysis and control of singular systems, time-delay systems, and nonlinear systems

              • 摘要: 針對含有輸入時滯和低階非線性項的非線性系統, 提出了一種基于采樣機制的無記憶輸出反饋控制方法. 該方法移除了傳統預測控制方法預測映射難以確定的限制, 同時避免了時滯依賴方法對過去時刻狀態信息的依賴性, 在實際中更易實現. 首先, 根據系統輸出在采樣時刻的信息, 利用加冪積分技術和齊次占優思想設計了無記憶輸出反饋控制器. 然后, 利用齊次系統理論提出了閉環系統的穩定性條件. 最后, 仿真結果驗證了所提方法的正確性和優越性.
              • 圖  1  系統狀態$ x_1 $的響應

                Fig.  1  Response curve of $ x_1 $

                圖  2  系統狀態$ x_2 $的響應

                Fig.  2  Response curve of $ x_2 $

                圖  3  控制輸入$ u $的響應

                Fig.  3  Response curve of $ u $

                圖  4  不同控制方法下系統狀態$ x_1 $的響應

                Fig.  4  Response curve of $ x_1 $ under different control methods

                圖  5  不同控制方法下系統狀態$ x_2 $的響應

                Fig.  5  Response curve of $ x_2 $ under different control methods

                圖  6  系統狀態$ x_1 $的響應

                Fig.  6  Response curve of $ x_1 $

                圖  7  系統狀態$ x_2 $的響應

                Fig.  7  Response curve of $ x_2 $

                圖  8  控制輸入$ u $的響應

                Fig.  8  Response curve of $ u $

                圖  9  不同控制方法下系統狀態$ x_1 $的響應

                Fig.  9  Response curve of $ x_1 $ under different control methods

                圖  10  不同控制方法下系統狀態$ x_2 $的響應

                Fig.  10  Response curve of $ x_2 $ under different control methods

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                        • 收稿日期:  2022-09-28
                        • 錄用日期:  2023-04-12
                        • 網絡出版日期:  2023-08-21

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