Economic MPC of nonlinear systems with nonmonotonic Lyapunov functions and its application to HVAC control
Zheming Wang
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
Search for more papers by this authorCorresponding Author
Guoqiang Hu
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
Correspondence
Guoqiang Hu, School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798.
Email: [email protected]
Search for more papers by this authorZheming Wang
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
Search for more papers by this authorCorresponding Author
Guoqiang Hu
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore
Correspondence
Guoqiang Hu, School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798.
Email: [email protected]
Search for more papers by this authorSummary
This paper proposes a Lyapunov-based economic model predictive control (MPC) scheme for nonlinear systems with nonmonotonic 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 heating ventilation and air conditioning 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 2 adjacent zones.
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