Linear quadratic regulator simulation , polynomial method

Version 1.0.0 (4.51 KB) by Tom Moir
Uses the polynomial control method for optimal control. Apply to a motor plus load (servo problem) with structural resonance.
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Updated 28 Dec 2019

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A similar example to this using classical control is given in the book "Feedback" by T.J.Moir, published by Springer Nature Feb 2020.

This is much closer to a real world problem that is encountered in many problems. It has a motor plus load with position output cascaded with a second-order structural resonance term. This makes a 4th order system combined together.

G(s)=K/( s(1+sTm) ) x ( wn^2/(s^2+2.zeta wn.s + wn^2) )

Needs spectral factorization and a Diophantine equation to get the solution G/H polynomials.

Cite As

Tom Moir (2024). Linear quadratic regulator simulation , polynomial method (https://www.mathworks.com/matlabcentral/fileexchange/73796-linear-quadratic-regulator-simulation-polynomial-method), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2019b
Compatible with any release
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Version Published Release Notes
1.0.0