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Robust H∞ control design for systems with structured parameter uncertainty |
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| Authors: | Appasaheb N. Madiwale Wassim M. Haddad Dennis S. Bernstein |
| Affiliation: | Massachusetts Institute of Technology, Lincoln Laboratory, P.O. Box 73, Lexington, MA 02173, U.S.A. Department of Mechanical and Aerospace Engineering, Florida Institute of Technology, Melbourne, FL 32901, U.S.A. Government Aerospace Systems Division, Harris Corporation, MS 22/4848, Melbourne, FL 32901, U.S.A. |
| Abstract: | In a recent paper a unification of the H2 (LQG) and H∞ control-design problems was obtained in terms of modified algebraic Riccati equations. In the present paper these results are extended to guarantee robust H2 and H∞ performance in the presence of structured real-valued parameter variiations (ΔA, ΔB, ΔC) in the state space model. For design flexibility the paper considers two distinct types of uncertainty bounds for both full- and reduced-order dynamic compensation. An important special case of these results generates H2/H∞ controller designs with guaranteed gain margins. |
| Keywords: | Robust control parameter uncertainty H-infinity design |
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