Abstract
Considering technology limitation or device restriction in practical application, we formulate new nonlinear systems with bounded gain error, which contain switched control and impulsive control. We then investigate the exponential stability of the considered systems. Finally, the effectiveness of the proposed criteria is confirmed via an example based on Chua’s oscillator.
Highlights
1 Introduction Nonlinear systems have been paid considerable attention from different areas since they have been successfully used in many practical applications including robotics, information science, artificial intelligence, automatic control systems, and so forth [1, 2]
It should be noticed that both impulsive control and switched control are discontinuous control methods
The considered model of general nonlinear systems with bounded gain error is given in Sect
Summary
Nonlinear systems have been paid considerable attention from different areas since they have been successfully used in many practical applications including robotics, information science, artificial intelligence, automatic control systems, and so forth [1, 2]. It is significant to discuss stability of nonlinear systems. There are many methods to stabilize the nonlinear systems, for example, adaptive control [3], fuzzy control [4], sliding mode control [5], feedback control [6], impulsive control [7], switched control [8], etc. Impulsive control can stabilize nonlinear systems by using it only at some isolated points.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
