An event-triggered adaptive tracking control problem is investigated for a class of switched nonstrictfeedback nonlinear systems with unknown control directions and switching signals. With a linear observer, the output feedback stabilization is achieved under arbitrary switching. The key advantages of the proposed control strategy are that the tracking prescribed performance is ensured regardless of the unknown control directions. Only one tuning parameter needs to be estimated during the recursive process. Moreover, with a varying threshold, a common event-triggered mechanism is developed. Based on the Lyapunov stability theory and the dynamic surface backstepping technique, the developed control method theoretically proves that under arbitrary switching, all signals of the resulting closed-loop switched system are bounded and the tracking error can converge to a small neighborhood of the origin within the prescribed bounds. The Zeno behavior is also avoided. The effectiveness and feasibility are demonstrated by two examples.
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Recommended by Associate Editor Mathiyalagan Kalidass under the direction of Editor Jessie (Ju H.) Park. This research was supported by the Foundation of Hebei province Education Department (Grant No. QN2016076) and key research and development technology projects (Grant No. 17227401D).
Chunyan Wang received her Ph.D. degree in Control Science and Control Engineering from Yanshan University in 2015. She is a teacher in College of Sciences of Yanshan University. Her research interests include adaptive arbitrary switching control, asynchronous control and event-triggered control of switched systems.
Mengqi Zhang received her B.S. degree in Mathematics and Applied Mathematics from Changzhi University, China, in 2017. She is currently pursuing an M.S. degree in College of Sciences at Yanshan University. Her current research interests include nonlinear adaptive control, event-triggered control and their applications to switched nonlinear systems.
Huan Li received her B.S. degree in Applied Mathematics from Tangshan Normal University, China in 2018. She is currently pursuing an M.S. degree in College of Sciences at Yanshan University. Her current research interests include sampled-data control of switched systems.
Na Wang received her Ph.D. degree in Instrumental Science and technology from Yanshan University in 2011. She is a teacher in College of the electrical engineering of Yanshan University. Her research interests include signal processing and intelligent agriculture.
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Wang, C., Zhang, M., Li, H. et al. Event-based Adaptive Output Feedback Prescribed Performance Control for a Class of Switched Nonlinear Systems with Unknown Control Directions. Int. J. Control Autom. Syst. 18, 2482–2491 (2020). https://doi.org/10.1007/s12555-019-0868-9
- Arbitrary switching
- event-triggered control
- prescribed performance
- switched nonlinear systems
- unknown control directions