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State-Space Plant Control with Parameter Uncertainty: Designing LQR Compensator

This project involves solving an optimal control problem with parameter uncertainty using state-space equations. Design LQR compensators, compare responses, and analyze eigenvalues. Submit MATLAB programs by June 14.

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State-Space Plant Control with Parameter Uncertainty: Designing LQR Compensator

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  1. Project 3Due date: 14 June 2012Submit the result .m file via e-mail to jaepark@incheon.ac.kr (If they are multiple .m files, then please zip them to one file.)

  2. State-Space Equation of a Plant Parameter uncertainty

  3. ARE H2 Optimal Control Eigen value

  4. Optimal Control Problem ARE Eigen value

  5. 1. Design LQR compensator 1-1. Show the result LQR gain Kc 1-2. Show Eigen values of the result open-loop system. 1-3. Show Eigen values of the result closed-loop system. 1-4. Compare step response of the result closed-loop system when parameter uncertainties are and . 2. Design LQR compensator 1-1. Show the result LQR gain Kc 1-2. Show Eigen values of the result open-loop system. 1-3. Show Eigen values of the result closed-loop system. 1-4. Compare step response of the result closed-loop system when parameter uncertainties are and . Write MATLAB programs to show followings

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