LQR vs. PID Elevation Control Simulation

Interactive comparison of Linear Quadratic Regulator (LQR) and PID controllers on a 2nd-order elevation system.

Parameter Settings

Proportional ($K_p$): 5.0

Integral ($K_i$): 0.5

Derivative ($K_d$): 2.0

Position Error Weight ($Q_1$): 100

Velocity Error Weight ($Q_2$): 0.1

Control Effort Weight ($R$): 1.0

PID Settling Time (~2%) -- s

LQR Settling Time (~2%) -- s