Design of H-infinity PI controller by robustness regions method

This paper presents the complete analytical solution of the mixed sensitivity design problem for general SISO systems and the PI controller.

This paper presents the complete analytical solution of the mixed sensitivity design problem for general SISO systems and the PI controller. The generalized robustness regions method is employed to obtain robustness regions in the parameter plane k - ki for given . The value of when the admissible region turns into the point corresponds to the optimal PI controller. Moreover, the presented method fully describes the set of all PI controllers which guarantee the given value of the mixed sensitivity criterion . The presented solution can also be extended to the PID controller with fixed ratio Td /Ti or to another fixed structure controller with two design parameters.

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