Robust feedback stabilization using high‐gain observer via event triggering

• Published in: International journal of robust and nonlinear control Vol. 30; no. 5; pp. 2097 - 2112
• Main Authors: Behera, Abhisek K., Shim, Hyungbo
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 25.03.2020
• Subjects: Computer simulation; event‐triggered control; Nonlinear systems; Output feedback; output feedback law; robust stabilization; Robustness (mathematics); Stability analysis
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.4868

Summary In this article, the problem of robust output feedback stabilization of single‐input single‐output nonlinear systems is studied in the event‐triggering framework. In this work, an event‐triggered output feedback law based on a high‐gain observer is constructed, which guarantees the stability of closed‐loop system. First, the high‐gain observer with a triggering scheme is designed to estimate the plant state in the presence of external disturbances subject to any satisfactory accuracy of the estimation error. The observer‐based triggering mechanism decides the transmission of plant output to the observer by observing a certain event condition. Similarly, another triggering mechanism is designed using the estimated state of observer that triggers the control signal to be updated only when it is satisfied. Under this proposed event‐triggering framework, the stability of closed‐loop system is then analyzed. Here, we provide the simplified design technique, in which the high‐gain parameter and the triggering thresholds can be selected independently to achieve any desired bound for the plant trajectory. The results are finally demonstrated through simulation of a numerical example.