Interactively tune initial conditions and exogenous inputs for a closed-loop first-order plant. The simulation assumes the state-output relation y = Cx so that the proportional controller reacts to the plant state.
Using the simulator below, identify the system parameters:
Change the reference \(r\), disturbance \(d\), and initial condition \(x_0\) to estimate these quantities. Record your reasoning and any plots that support your answers.
Dynamics
\[\dot{x} = Ax + B_1 k_p (r - y) + B_2 d\]
\[y = Cx\]
Customize the system gains A, B₁, B₂,
C, and kₚ directly in the component source if you need
different dynamics.