Finite-time stabilization for a class of more general \(p\)-normal nonlinear systems with input and output nonlinearities. (English) Zbl 1533.93707
Summary: This study investigates the global finite-time state feedback stabilization for a class of more general \(p\)-normal nonlinear systems subjects to input time-delay and uncertain output function under rational powers. A novel control input compensation signal comprising a finite integral of previous control values is presented, and an equivalent system with control input dependent-free time delay is obtained by introducing a variable transformation technique that includes the compensation signal. A suitable controller is designed in line with the homogeneous domination method to ensure the globally finite-time stability of the closed-loop system. Finally, the effectiveness of the proposed control scheme is verified through a numerical simulation and an induction heater circuit system.
© 2024 John Wiley & Sons Ltd.
© 2024 John Wiley & Sons Ltd.
MSC:
| 93D40 | Finite-time stability |
| 93D15 | Stabilization of systems by feedback |
| 93C10 | Nonlinear systems in control theory |
| 93C43 | Delay control/observation systems |
Keywords:
finite-time stability; homogeneous domination method; input time-delay; \(p\)-normal nonlinear systems; uncertain output functionReferences:
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