Abstract
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.
Original language | English |
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Pages (from-to) | 878-885 |
Number of pages | 8 |
Journal | Journal of Guidance, Control, and Dynamics |
Volume | 19 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1996 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Space and Planetary Science
- Electrical and Electronic Engineering
- Applied Mathematics