Sampled-Data Adaptive Backstepping Control for Incommensurate Air Handling Units in HVAC Systems
针对暖通空调系统中的分数阶空气处理单元，提出了一种新型自适应采样数据反步控制方法，首次解决了非匹配单元的室内温度调节问题，在降低计算成本的同时确保温度精确跟踪和系统稳定性。
This work presents a novel adaptive sampled-data backstepping control method for the fractional-order air handling units (AHUs) in the building heating, ventilating, and air conditioning (HVAC) systems to achieve indoor temperature regulation. The control for fractional incommensurate AHUs, which relieve computational costs for implementing control and thus enhance building energy efficiency due to the concise and precise form of the system model in comparison to the integer-order case, are studied for the first time. By strictly considering the infinite-memory and hereditary characteristics of fractional-order systems, the temperature control scheme, which novelly combines the sampled-data scheme with the backstepping technique for reducing control and transmission resources, is proposed. It is proven on the basis of Lyapunov stability analysis to be effective with the indoor temperature being able to track the target temperature accurately while all the closed-loop signals remain globally bounded even with practically time-varying AHUs system uncertainties and external disturbances. Simulation studies verify the efficacy of the proposed strategy and validate the established results.