Math Problem Statement

TP2 Commande MAC_MPC 2024.pdf

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Math Problem Analysis

Mathematical Concepts

Model Predictive Control
Linear Systems
Trajectory Tracking

Formulas

State-space equations: x(k+1) = Ax(k) + Bu(k), y(k) = Cx(k) + Du(k)
Cost function: J = ∑(y_ref(i) - y(i))^2 + λ∑Δu(i)^2
Simplified MPC adjustment: u(k) = u(k-1) + λ⋅e(k)

Theorems

Optimization of cost functions in control systems
Stability and convergence of MPC

Suitable Grade Level

Master's Level (Advanced Control Systems)