Economic MPC of Nonlinear Systems with Non-Monotonic Lyapunov Functions and Its Application to HVAC Control
For control engineers, this work offers an incremental improvement to economic MPC by relaxing Lyapunov constraints to enhance performance while maintaining stability.
This paper proposes a Lyapunov-based economic MPC for nonlinear systems with non-monotonic Lyapunov functions, using relaxed constraints to improve economic performance while ensuring recursive feasibility and asymptotic convergence. Applied to HVAC control, it minimizes energy consumption and tracks set-point temperatures, demonstrated on a two-zone virtual building.
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.