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A novel control design framework is proposed for a class of non-Lipschitznonlinear systems with quantized states, meanwhile prescribed transientperformance and lower control design complexity could be guaranteed. Firstly,different from all existing control methods for systems with statequantization, global stability of strict-feedback nonlinear systems is achievedwithout requiring the condition that the nonlinearities of the system modelsatisfy global Lipschitz continuity. Secondly, a novel barrier function-freeprescribed performance control (BFPPC) method is proposed, which can guaranteeprescribed transient performance under quantized states. Thirdly, a new\textit{W}-function-based control scheme is designed such that virtual controlsignals are not required to be differentiated repeatedly and the controllercould be designed in a simple way, which guarantees global stability and lowerdesign complexity compared with traditional dynamic surface control (DSC).Simulation results demonstrate the effectiveness of our method.

Quantized control of non-Lipschitz nonlinear systems: a novel control framework with prescribed transient performance and lower design complexity