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Disturbance attenuation and H^{\infty } optimization: A design method based on the algebraic Riccati equation

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1 Author(s)
Petersen, I.R. ; Australian Defence Force Academy, Campbell, Australia

This note presents a method for designing a state feedback control law to reduce the effect of disturbances on the output of a given linear system. The problem under consideration involves attenuating the disturbances to a prespecified level. The construction of the state feedback control law requires the solution of a certain algebraic Riccati equation. By applying the procedure with successively smaller values of the prespecifled disturbance level, the result also provides an approach to the H^{\infty } optimization problem for the state feedback case.

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Automatic Control, IEEE Transactions on  (Volume:32 ,  Issue: 5 )