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Since sliding mode control exhibits limitations to be employed to stabilize jump systems (Xia et al. 2009) in this paper, an adaptive control scheme with backstepping method is developed to solve this control problem.
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For the controller design, the adaptive backstepping fuzzy control (ABFC) method is developed to compensate the PA's hysteresis and achieve the motion tracking control.
Then to improve the transient performance of adaptive systems by tuning the design parameters, by further combining appropriately Lyapunov-Krasovskii functionals with adaptive backstepping technique, adaptive control method is developed for uncertain nonlinear strict-feedback systems with time delays [28 30].
By constructing a dead zone compensator and introducing a Nussbaum gain function into the backstepping technique, an adaptive fuzzy output feedback control method is developed.
Based on the combination of Nussbaum gain function with Lyapunov function stability theory, an adaptive NNs output feedback FTC method is developed in the frame of adaptive backstepping design technique.
Under the framework of the backstepping control design and fuzzy adaptive control, a new adaptive fuzzy output tracking control method is developed.
Based on the backstepping recursive design technique and the predefined performance technique, a new fuzzy adaptive output feedback control method is developed.
Based on the backstepping recursive design technique and the prescribed performance technique, a new adaptive fuzzy output-feedback control method is developed.
An adaptive fuzzy control method is developed to suppress chaos in the permanent magnet synchronous motor drive system via backstepping technology.
Based on dynamic surface backstepping control design technique and incorporated by the average dwell time method and the prescribed performance theory, a new adaptive fuzzy output-feedback control method is developed.
Based on DSC backstepping control design technique and incorporated by the predefined performance theory and the average dwell time method, a new adaptive fuzzy output-feedback control method is developed.
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