Synthesis of optimal H∞ controllers is formulated as a loop-shaping problem where the desired closed-loop shape to be pursued is a uniform frequency response of the largest singular value. The weighted H2 optimization technique used in the linear quadratic Gaussian design with loop transfer recovery is exploited in the loop-shaping procedures to generate a sequence of H2 controllers converging to the optimal H2, controller. The resulting optimal H∞ controller not only has the inherent robust property due to H∞ criterion but also possesses the nice H∞ control structure, being easy to compute and implement. A fighter example and a large space structure example are demonstrated to show that the numerical accuracy of the present H2-based H∞ synthesis is comparable to the conventional H∞ approach, i.e., γ-iteration, but with reduced computational efforts.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Space and Planetary Science
- Electrical and Electronic Engineering
- Applied Mathematics