Abstract: In quantized feedback control systems, the mismatch of quantizer sensitivity parameter can reduce the system performance; it can even result in the instability of the system. On the other hand, this mismatch will increase the control design complexity and difficulty. This paper is concerned with the supervisory-based sliding mode quantized feedback stabilization problem for a class of uncertain systems in the presence of mismatch between quantization sensitivity parameters. By the utilization of the supervisory control strategy, the proposed robust quantized feedback sliding mode control law can eliminate the effect of mismatch of sensitivity parameters and model uncertainties, and drive the state trajectories to the origin asymptotically. An example is shown to verify the validity and advantage of the theoretical results through Matlab simulation.

Key words: supervisory control, sliding mode control, quantization mismatch, stabilization

摘要： 在量化控制系统中，量化器灵敏度参数的不匹配现象会造成系统的性能下降，严重时甚至会导致系统不稳定。另一方面，量化器灵敏度参数的不匹配现象也会增加控制设计的复杂性与难度。针对量化器灵敏度参数不匹配的不确定线性系统，研究监督策略下的量化反馈滑模镇定控制问题。应用监督控制策略，提出的鲁棒量化反馈滑模控制法能够有效消除量化灵敏度参数不匹配与模型不确定性带来的影响，进而确保系统轨迹能渐近收敛到原点。经过Matlab仿真实验验证了该方法的有效性与优越性。

关键词: 监督控制, 滑模控制, 量化不匹配, 镇定