Model Predictive Control • linear convex optimal control • finite horizon approximation • model predictive control • fast MPC implementations • supply chain management Prof. S. Boyd, EE364b, Stanford University Linear time-invariant convex optimal control minimize J = P∞ t=0 ℓ(x(t), u(t)) subject to u(t) ∈ U, x(t) ∈ X, t = 0, 1, . . . x(t + 1) = Ax(t) + Bu(t), t = 0, 1, . . . x(0) = z. • variables