Global output feedback regulation of nonlinear time delay systems subject to sensor measurement faults

• Published in: International journal of robust and nonlinear control Vol. 30; no. 6; pp. 2292 - 2303
• Main Authors: Li, Kuo, Hua, Changchun, Guan, Xinping
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.04.2020
• Subjects: Algorithms; Computer simulation; Control; Control systems design; Controllers; Nonlinear systems; Output feedback; output feedback regulation; Time delay systems; time‐varying gains; uncertain nonlinear systems; unknown measurement faults; unknown time‐varying delays
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.4873

Summary This article studied the global output feedback regulation problem for a class of uncertain nonlinear time delay systems subject to unknown measurement faults on sensors. Different from the existing works, we consider the unknown time‐varying delays on the system states and relax their conservative condition on nonlinear functions. By introducing two novel time‐varying gains, a new global output feedback regulation algorithm is proposed, which ensures control parameters can be chosen flexibly. The proposed linear‐like controller is independent of the unknown time‐varying delays. Moreover, it has a simple structure, which is convenient for the implementation in practice. Based on the Lyapunov stability theory, it is strictly proved that all signals of the resulting closed‐loop system are globally bounded with the designed controller. Finally, a simulation example is presented to illustrate the effectiveness of the proposed output feedback regulation algorithm.