Design of Stabilizing Controllers for Nonlinear Time-Delay Systems under Multiple Functional-Inequality State Constraints

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Project title

Code/計畫編號

MOST109-2221-E019-036

Translated Name/計畫中文名

具有時間延遲的非線性系統之多重函數不等式狀態限制穩定控制器設計

Project Coordinator/計畫主持人

Chee-Fai Yung

Funding Organization/主管機關

National Science and Technology Council

Co-Investigator(s)/共同執行人

吳政郎

Department/Unit

Department of Electrical Engineering

Website

https://www.grb.gov.tw/search/planDetail?id=13531454

Year

2020

Start date/計畫起

01-08-2020

Expected Completion/計畫迄

31-07-2021

Bugetid/研究經費

892千元

ResearchField/研究領域

電子電機工程

This project will address the multiple state functional inequality constraints control for nonlinear time-delay systems with control Lyapunov Krasovsky barrier function (CLKBF) which is integrated by control Lyapunov barrier function (CLBF) and control Lyapunov Krasovsky functional (CLKF). First we propose a possible method to construct CLBF with barrier functions relative to the multiple state functional inequality constraints for systems mentioned above, Then, we merge the CLBF and the CLKF relative to the delay term to construct a CLKBF for the systems such that the state constraints stabilizing controllers will be derived. Further, we will propose sufficient conditions for the existence of CLKBF. Finally, a numerical example will be included to illustrate the theoretical results. 本計畫將結合control Lyapunov barrier function (CLBF)以及control Lyapunov Krasovsky functional (CLKF)針對具有時間延遲的非線性系統解決具有多重函數不等式狀態限制的穩定控制器設計問題。首先，我們提出對於上述非線性系統以及對應限制條件所設計的障蔽函數之CLBF的建構法，接著我們結合此CLBF以及對應延遲系統之CLKF形成一個control Lyapunov Krasovsky barrier functional (CLKBF)並據此設計控制器，接著，我們將證明CLKBF存在的充分條件，最後，我們以數值例子驗證我們所得到的結果。

Keyword(s)

非線性時間延遲系統
狀態回授
control Lyapunov Krasovsky barrier function
多重函數不等式狀態限制
nonlinear time-delay systems
state feedback
control Lyapunov Krasovsky barrier function
multiple state functional inequality constraints.

DSpace CRIS

Design of Stabilizing Controllers for Nonlinear Time-Delay Systems under Multiple Functional-Inequality State Constraints

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