Predictor-Based Global Sampled-Data Output Feedback Stabilization for Nonlinear Uncertain Systems Subject to Delayed Output

• Published in: IEEE transactions on automatic control Vol. 68; no. 3; pp. 1839 - 1846
• Main Authors: Sun, Jiankun, Yang, Jun, Li, Shihua, Zeng, Zhigang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control methods; Control systems; Delays; Feedback domination; global output feedback stabilization; Hybrid control; Hybrid systems; Nonlinear systems; nonlinear uncertain systems; Nonlinearity; Observers; Output feedback; output predictor; Sampling; Stabilization; Uncertain systems; Uncertainty
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2022.3160234

In this article, we address the problem of global sampled-data output feedback stabilization for a class of nonlinear uncertain systems with delayed output using the continuous-discrete method. Thanks to the prediction technique and feedback domination method, a novel coupled design method of predictor-based continuous-discrete observer and linear controller is proposed when only delayed sampled-data output is accessible. The proposed predictor-based observer can effectively estimate the unknown state by compensating the influences of sampling and output delay. The main advantage of the proposed control method is that the full state information and accurate model nonlinearities do not need to be known any more. The global exponential stability of the overall hybrid control system can be ensured when there hold some sufficient conditions with respect to the maximum allowable sampling period and output delay.