1. Event-triggered adaptive prescribed performance tracking for nonlinear time-varying systems with unknown control directions.
- Author
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Yuan, Guangxia and Zhang, Zhengqiang
- Subjects
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TIME-varying systems , *NONLINEAR systems , *ADAPTIVE control systems - Abstract
This article deals with the adaptive prescribed performance tracking for nonlinear time-varying systems. To handle multiple unknown control directions, a novel lemma is established by using a general class of Nussbaum functions. To handle unknown time-varying parameters, the congelation of variables method is employed. Different novel functions are introduced to achieve prescribed performance tracking and finite-time prescribed performance tracking, respectively. Meanwhile, the problem of explosion of complexity is avoided by utilizing the command filter and the compensation mechanism. For reasons of saving network resources and reducing communication burden, a new event-triggered mechanism is proposed, which can circumvent the Zeno behavior. Then, an event-triggered adaptive prescribed performance tracking control scheme is constructed and is extended to event-triggered finite-time adaptive prescribed performance tracking, both of which guarantee that all closed-loop signals are bounded and the trajectory of the tracking error can be limited to the prescribed region. Finally, the availability of the control scheme is demonstrated by two examples. • A new Nussbaum lemma is tailored for nonlinear time-varying systems with multiple unknown control directions. • New performance transformation functions are designed to achieve asymmetric global prescribed performance tracking. • The command filter and a novel error compensation scheme are constructed to handle the explosion of complexity. • The congelation of variables method is adopted to cope with unknown time-varying parameters. • An STETS adaptive prescribed performance tracking controller is constructed, which can avert the Zeno behavior successfully. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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