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The controller is optimal, i.e. a cost criterion is minimized.
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More precisely, we show that the certainty equivalence controller is optimal when the encoder is optimal and has full side-information about the symbols received at the controller.
It can be noted that the control performance with PID controller is optimal when tracking the reference signal with average pressure of 140 kPa, but becomes worse obviously when average pressure of reference input is changed.
Hence, after defining the corresponding linear dynamic system, the aim of the controller is to determine the optimal control signal, namely the acceleration of the robot motor u τ given the transition and the control matrices and the cost function.
The controller is designed using the linear optimal control theory.
The objective of the controllers is to track the optimal rotor speed ω ropt that ensures the optimal power capture provided the stress on the low speed shaft torque is minimum.
Performance of the obtained optimal controllers is verified in the illustrative example against the conventional LQG controller that is optimal for the quadratic Bolza Meyer criterion.
Performance of the obtained optimal controller is verified in the illustrative example against the conventional LQG controller that is optimal for linear systems with known parameters.
Performance of the obtained mean-square optimal data-based controller is verified in the illustrative example against the conventional LQG controller that is optimal for linearized systems.
Performance of the obtained optimal controller is verified in the illustrative example against the conventional quadratic-Gaussian controller that is optimal for stochastic polynomial systems with known parameters.
The proposed controller is an optimal controller that respects constraints and accommodates uncertainties without a need to measure all states.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com