Robust linear quadratic designs with real parameter uncertainty |
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Authors: | Douglas J Athans M |
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Affiliation: | Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA; |
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Abstract: | This note derives a linear quadratic regulator which is robust to real parametric uncertainty, by using the overbounding method of Petersen and Hollot (1986). The resulting controller is determined from the solution of a single modified Riccati equation. This controller has the same guaranteed robustness properties as standard linear quadratic designs for known systems. It is proven that when applied to a structural system, the controller achieves its robustness by minimizing the potential energy of uncertain stiffness elements, and minimizing the rate of dissipation of energy by the uncertain damping elements |
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