Abstract

AbstractThis paper is concerned with L2-gain disturbance attenuation problem for linear multivariable systems. First, high gain output feedback theorem for L2-gain disturbance attenuation is obtained in case of minimum phase system. Next, we consider L2-gain disturbance attenuation problem for general (nonminimum phase) systems. As a control law, P·SPR·D and/or P·SPR·D+I control is applied (SPR is an abbreviation for strict positive real). We can solve the problem by changing the general system to minimum phase one with the use of P, SPR, D elements and by applying the above high gain output feedback theorem.

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