منابع مشابه
Interpolatory H∞ Model Reduction
We introduce an interpolation framework for H∞ model reduction founded on ideas originating in optimal-H2 interpolatory model reduction, realization theory, and complex Chebyshev approximation. By employing a Loewner “data-driven” framework within each optimization cycle, large-scale H∞ norm calculations can be completely avoided. Thus, we are able to formulate a method that remains effective i...
متن کاملInterpolatory Weighted-H2 Model Reduction
This paper introduces an interpolation framework for the weighted-H2 model reduction problem. We obtain a new representation of the weighted-H2 norm of SISO systems that provides new interpolatory first order necessary conditions for an optimal reduced-order model. The H2 norm representation also provides an error expression that motivates a new weighted-H2 model reduction algorithm. Several nu...
متن کاملInterpolatory weighted-H2H2 model reduction
This paper introduces an interpolation framework for the weighted-H2 model reduction problem. We obtain a new representation of the weighted-H2 norm of SISO systems that provides new interpolatory first order necessary conditions for an optimal reduced-order model. The H2 norm representation also provides an error expression that motivates a new weighted-H2 model reduction algorithm. Several nu...
متن کاملInexact solves in interpolatory model reduction
Dynamical systems are mathematical models characterized by a set of differential or difference equations. Due to the increasing demand for more accuracy, the number of equations involved may reach the order of thousands and even millions. With so many equations, it often becomes computationally cumbersome to work with these large-scale dynamical systems. Model reduction aims to replace the orig...
متن کاملReduced-Order Compensators via Interpolatory Model Reduction
Feedback control of fluids is often achieved with limited state measurements. Effective approaches utilize compensators, which can be computed using linear quadratic Gaussian (LQG) or MinMax control designs. However, to achieve real-time control algorithms, these compensators must have low computational complexity. Model reduction methods are a natural choice to build reduced-order compensators...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2013
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2013.03.006