周期性信号的广义PID控制及其在功率变换中的应用

Perfect tracking or rejection of periodic signals plays a critical role in many engineering practices to meet tight performance demands. A simple but effective generalised PID control, is proposed to achieve exact compensation of periodic signals in spite of uncertainties while maintaining satisfactory transient response and stability. Design and synthesis methods for generalized PID controller will be developed to facilitate the applications of generalized PID controllers. Moreover, fractional order generalized PID control will be developed for perfect compensation of approximate periodic signals. To demonstrate its validity, generalized PID control will be applied to power converters. .The development of GPID control for periodic signals, will not only advance PID control, internal model principle and fractional order control, but also may provide the simplest, the most efficient and easy-tuning high performance control of periodic signals. Generalized PID control could become a very popular standard industrial controller like PID control in the near future.

本项目针对工程实际中周期性信号的精确控制问题，研究建立广义PID控制基本理论及其优化设计方法，并进一步推广为适用性更广、性能更佳的通用的分数阶数字广义PID控制，从而为近似周期性信号、周期性信号以及直流信号提供控制精度高、动态响应速度快、鲁棒性好的精确控制解决方案。本项目还将全面开展广义PID控制应用于电力电子功率变换器的实验研究和理论验证，示范并推动其在功率变换器上的实际应用。广义PID控制兼容常规PID控制，不仅控制性能优秀，还具有结构简单、设计方便、易于实现等优点，可大大减轻工程实际应用当中控制器设计和实现方面的工作负担，有望成为新一代的工业标准控制器。

针对工程实际中周期性信号（如电网电压和电流、振荡）的精确控制问题，本项目研究建立了基于内模原理的广义PID控制基本理论及其优化设计方法，并进一步推广为适用性更广、性能更佳的通用的分数阶数字广义PID控制方法，并开展了广义PID控制应用于电力电子功率变换器的实验研究和理论验证。广义PID控制兼容常规PID控制，不仅能为周期性信号（含直流信号和准周期性信号）提供控制精度高、动态响应速度快、鲁棒性好的精确控制解决方案，还具有结构简单、设计方便、易于实现等优点，有望成为新一代的工业标准控制器。