Event‐triggered practical finite‐time output feedback stabilization of a class of uncertain nonlinear systems

• Published in: International journal of robust and nonlinear control Vol. 29; no. 10; pp. 3078 - 3092
• Main Authors: Zhang, Cui‐Hua, Yang, Guang‐Hong
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.07.2019
• Subjects: event‐triggered control; Feedback control; Nonlinear control; Nonlinear systems; Output feedback; output feedback control; practical finite‐time stabilization; Stability analysis; Stability criteria; uncertain nonlinear systems
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.4537

Summary This paper studies the event‐triggered practical finite‐time output feedback stabilization problem for a class of uncertain nonlinear systems with unknown control gains. First, a reduced‐dimensional observer is employed to implement the reconstruction of the unavailable states. Furthermore, a novel event‐triggered output feedback control strategy is proposed based on the idea of backstepping design and sign function techniques. It is shown that the practical finite‐time stability of the closed‐loop systems is ensured by Lyapunov analysis and related stability criterion. Compared with the existing methods, the main advantage of this strategy is that the observer errors and event‐trigger errors can be processed simultaneously to achieve the practical finite‐time stability. Finally, an example is adopted to demonstrate the validity of the proposed scheme.