Figure 9:

Demonstration of MPC for phase resetting in response to jet lag. This scenario involves a 5h (0.417π rad) phase advance followed by a 11h (0.917π rad) phase delay, the equivalent of flying from Boston to London, then London to Honolulu three days later. (A) Phase of oscillator under MPC compared to reference phase (local time) for the jet lag problem. For this problem, τ = 2h and N_p = 5. (B) Timing of control inputs and ipPRC throughout the simulation. In both cases, the reset is completely achieved in less than 48h, a drastic speedup in comparison to the untreated case or the light-input case [33]. For simplicity, no light input to the clock was assumed in this case, though it may be incorporated as an additional disturbance input to the phase model, or applied as part of multi-input control.