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Full-Text Articles in Engineering
H2 Optimal Control With H∞, Μ, And L1 Constraints, David E. Walker
H2 Optimal Control With H∞, Μ, And L1 Constraints, David E. Walker
Theses and Dissertations
H2 optimization with convex constraints is considered. The optimal order-free solution is shown to be unique through convex analysis. H∞ constraints with feedforward terms and singular constraints are also allowed. The optimal fixed-order solution is shown to have the same characteristics as a mixed problem with regular H∞ constraints. Furthermore, these results are shown to hold for controller orders as low as the optimal H2 order. A numerical method is developed based on analytical gradients which results in sub- and super-optimal fixed-order controllers. The problem is extended to include an upper bound on a mu constraint …
Mixed H2-H∞ Optimization With Multiple H Infinity Constraints, Julio C. Ullauri
Mixed H2-H∞ Optimization With Multiple H Infinity Constraints, Julio C. Ullauri
Theses and Dissertations
A general mixed H2/H∞ optimal control design with multiple H∞ constraints is developed and applied to two systems, one SISO and the other MIMO. The SISO design model is normal acceleration command following for the F- 16. This design constitutes the validation for the numerical method, for which boundaries between the H2 design and the H∞ constraints arc shown. The MIMO design consists of a longitudinal aircraft plant (short period and phugoid modes) with stable weights on the H2 and H∞ transfer functions, and is linear- time-invariant. The controller order is reduced …