Adaptive neural tracking control for switched nonlinear systems with state quantization

Abstract In this study, an adaptive neural tracking control problem for uncertain switched nonlinear systems with state quantization under arbitrary switching is investigated. A command-filtered backstepping control design strategy is implemented to overcome difficulties that the time derivate of common virtual control signals cannot be well defined. By deriving closed-loop system quantized errors bounded, quantized states can be used to control design and unquantized states can be applied to the stability analysis. And then, an adaptive neural tracking controller for switched nonlinear systems with state quantization via common Lyapunov function is proposed, which guarantees that all signals of closed-loop system remain semiglobal uniform ultimate boundedness and the genuine output of system can well track the reference trajectory. Finally, the proposed method is demonstrated by two simulation results.