Almost Disturbance Decoupling for a Class of Nonlinear Systems Subject to Time‐Delays Via Sampled‐Data Output Feedback Control

• Published in: Asian journal of control Vol. 20; no. 1; pp. 568 - 576
• Main Authors: Meng, Qinghua, Wang, Pan, Sun, Zong‐Yao, Chen, Chih‐Chiang
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc 01.01.2018
• Subjects: Almost Disturbance Decoupling; Control systems design; Controllers; Decoupling; Disturbances; Feedback control; Feedback control systems; L2 gain; nonlinear system; Nonlinear systems; observer; Output feedback; output feedback domination; sampled‐data; time‐delays; Vibration analysis
• ISSN: 1561-8625; 1934-6093
• DOI: 10.1002/asjc.1533

This paper considers the problem of almost disturbance decoupling (ADD) via sampled‐data output feedback control for a class of uncertain nonlinear systems subject to time‐delays. Based on output feedback domination approach, a sampled‐data output feedback controller is designed to globally stabilize the system under a lower‐triangular linear growth condition. Gronwall‐Bellman‐like inequality and inductive method are introduced to estimate the state growth in the presence of time‐delays, uncertain nonlinearities and unknown disturbances. The proposed controller can attenuate the influence of disturbances on the output to an arbitrary degree in the L2 gain sense. Finally, simulation results show the effectiveness of the control method.