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Showing 1 to 4 of 4 for “"Gramians"”.
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Model reduction of large linear systems via low rank system gramians
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2000.
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Theoretical and practical aspects of linear and nonlinear model order reduction techniques
… and uses low-rank approximations of a system's gramians. This method is shown to be advantageous over the common approach of independently approximating the controllability and observability gramians, as such independent approximation methods can be inefficient when the gramians do not share a …
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Incorporating Flight Dynamics and Control Criteria in Aircraft Design Optimization
… layout. The impulse residues and controllability Gramians are used as surrogates for the control objectives in the MDAO to maximize the controllability and observability of the aircraft. The optimal control designs are compared with those obtained using weight minimization as the design objective. …
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Noise-Enabled Observability of Nonlinear Dynamic Systems Using the Empirical Observability Gramian
While control actuation is well understood to influence the observability of nonlinear dynamical systems, actuation of nonlinear stochastic systems by process noise has received comparatively little attention in terms of the effects on observability. As noise is present in essentially all …