非线性系统非单调李雅普诺夫函数的经济MPC及其在 HVAC 控制中的应用
Economic MPC of Nonlinear Systems with Non-Monotonic Lyapunov Functions and Its Application to HVAC Control
AI总结：
本文提出了一种基于李雅普诺夫的经济MPC方案，用于非线性系统，利用松弛的李雅普诺夫约束提升经济性能，并通过李雅普诺夫稳定性分析实现递归可行性与渐近收敛。
摘要：
本文提出了一种基于李雅普诺夫的经济MPC方案，用于非线性系统，利用松弛的李雅普诺夫约束提升经济性能。这些约束将在每几个步骤后强制李雅普诺夫函数减小。通过李雅普诺夫稳定性分析可实现递归可行性和渐近收敛到稳态。所提出的经济MPC可用于最小化商业建筑HVAC控制中的能耗。在线MPC问题中的李雅普诺夫约束使系统能够跟踪所需的设定温度。通过由两个相邻区域组成的虚拟建筑进行了性能验证。
英文摘要：
This paper proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance. These constraints will enforce a Lyapunov decrease after every few steps. Recursive feasibility and asymptotical convergence to the steady state can be achieved using Lyapunov-like stability analysis. The proposed economic MPC can be applied to minimize energy consumption in HVAC control of commercial buildings. The Lyapunov-based constraints in the online MPC problem enable the tracking of the desired set-point temperature. The performance is demonstrated by a virtual building composed of two adjacent zones.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
