H2 Model Reduction Using LMIs
نویسنده
چکیده
This paper considers the problem of H2 reduced order approximation for both continuous and discrete time MIMO systems. A heuristic algorithm is proposed that utilizes necessary and sufficient conditions expressed in terms of a set of LMIs and a matrix rank constraint, and the alternating projection method. Also a method of finding starting points is suggested. Three numerical examples are employed to show the effectiveness of the choice of starting points and the capability of the algorithm to find at least as good approximants as other methods.
منابع مشابه
H∞/H2 Model Reduction Through Dilated Linear Matrix Inequalities ?
This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the H∞ and H2 model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order n to be reduced to an order r = n/s where n, r, s ∈ N. Arbitrary order of the reduced model can be enforced by including states in the original system with negligible input-to-output...
متن کاملAalborg Universitet H / H 2 model reduction through dilated linear matrix inequalities
This paper presents sufficient dilated linear matrix inequalities (LMI) conditions to the H∞ and H2 model reduction problem. A special structure of the auxiliary (slack) variables allows the original model of order n to be reduced to an order r = n/s where n, r, s ∈ N. Arbitrary order of the reduced model can be enforced by including states in the original system with negligible input-to-output...
متن کاملTrajectory Tracking H2 Controller for Autonomous Helicopters: an Application to Industrial Chimney Inspection
This paper addresses the problem of industrial chimney inspection using autonomous helicopters. The importance of using these platforms is evidenced by the maintenance cost and risk reduction stemming from the replacement of the standard procedures and the improved detection of structural defects. The approach presented relies on the definition of a trajectory-dependent error space to express t...
متن کاملMixed H2/Hinfinity output-feedback control of second-order neutral systems with time-varying state and input delays.
A mixed H2/Hinfinity output-feedback control design methodology is presented in this paper for second-order neutral linear systems with time-varying state and input delays. Delay-dependent sufficient conditions for the design of a desired control are given in terms of linear matrix inequalities (LMIs). A controller, which guarantees asymptotic stability and a mixed H2/Hinfinity performance for ...
متن کاملSuboptimal model reduction using LMIs with convex constraints, Report no. LiTH-ISY-R-2759
An approach to model reduction of LTI systems using Linear Matrix Inequalities (LMIs) in an H∞ framework is presented, where non-convex constraints are replaced with stricter convex constraints thus making it suboptimal. The presented algorithms are compared with the Optimal Hankel reduction algorithm, and are shown to achieve better results (i.e lower H∞-errors) in cases where some of the Hank...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005