State Variance-Based Approach to Flight Dynamic Constraints in Multidisciplinary Design Optimization

Traditional flying qualities metrics use first-order descriptors of the “classical” aircraft modes such as the phugoid, short-period, Dutch roll, etc. These modes are often difficult to distinguish from one another in modern aircraft for which the dynamics are usually coupled, leaving designers to develop lower-order equivalent systems as approximations to the behavior of the real aircraft. On the other hand, modern optimal or robust control techniques directly address multiple-input/multiple-output systems, with coupled dynamics, and they function well with higher-order measures of system behavior like state covariances or signal norms. This work presents a new method of approximating the traditional flying qualities requirements for piloted aircraft through a flight condition-dependent recasting of these requirements as upper bounds on the state variances. A linear matrix inequality feasibility problem is developed to compute a control law that stabilizes the system for the given flight condition while ...

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