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LFT formulation for multivariate polynomial problems
Conference proceeding   Open access

LFT formulation for multivariate polynomial problems

C.M Belcastro, B.-C Chang and AMER AUTOMAT CONTROL COUNCIL
Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), v 2, pp 1002-1007 vol.2
1998
url
https://zenodo.org/record/1262951View
SubmittedCC0 V1.0 Open

Abstract

Control system analysis Equations Matrix decomposition Nonlinear control systems Polynomials Reduced order systems Robust control Singular value decomposition System analysis and design Uncertainty
Robust control system analysis and design is based on an uncertainty description, called a linear fractional transformation (LFT), which separates the uncertain (or varying) part of the system from the nominal system. Low-order LFT models are difficult to form for nonlinear parameter-dependent systems. The paper presents a numerical computational method that can be used to construct low-order LFT models for multivariate polynomial and rational problems based on simple matrix computations. This LFT modeling method makes current robust and linear parameter varying (LPV) control analysis and design methods accessible to a broad class of difficult practical problems.

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Automation & Control Systems
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