The model matching problem for single-input single-output singularly perturbed systems is considered. Two sets of sufficient conditions are obtained to guarantee the existence of a two-frequency-scale solution: one for the optimal and one for a suboptimal case. Both the minimum-phase and the non-min
H∞ control for a singularly perturbed aircraft model
✍ Scribed by John L. Vian; M. Edwin Sawan
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 596 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0143-2087
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
State space solutions for H∞ control are formulated for composite state feedback control of singularly perturbed systems. Scaled frequency domain realizations of dynamic systems are developed and used to generate H∞ solutions that approach the H~2~ solution as an H∞‐norm design parameter is allowed to approach infinity. The realizations also account for non‐orthogonal cost function terms that occur naturally in the slow subsystem design for singularly perturbed systems. Traditional H~2~ results are also provided. The formulation is applied to compute reduced, composite and full‐order controller gains for the longitudinal dynamics of an F‐8 aircraft.
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