Unified H∞ approach for a singularly perturbed aircraft model

Presents a unified approach to obtain simultaneously the continuous-time and discrete-time state space solutions for the composite state feedback control of singularly perturbed H_∞ systems. First, the scaled frequency domain realizations of dynamic systems are developed and then used to generate the unified H _∞ solutions that approach the H₂ solution as the unified H_∞ norm design parameter is allowed to approach infinity. The realizations also account for the nonorthogonal cost function terms that occur in the unified singularly perturbed slow subsystem. Next, the unified H₂ solutions are provided. Finally, the methodology is then applied to compute the reduced system, composite and full-order controllers gains for the dynamics of an F-8 aircraft model