NDLI: Automated control design for a piecewise-affine approximation of a class of nonlinear systems

Content Provider	IEEE Xplore Digital Library
Author	Rodrigues, L. How, J.P.
Copyright Year	2001
Description	Author affiliation: Dept. of Aeronaut. & Astronaut., MIT, Cambridge, MA, USA (Rodrigues, L.)
Abstract	This paper establishes a framework to automate the generation of a piecewise-affine approximation for a class of nonlinear systems. The results enable a completely automated procedure for designing an output feedback controller using a method described previously. To perform the piecewise-affine approximation it is assumed that a uniform rectangular grid is provided for the domain of the nonlinearity. Given this grid, there are three basic steps of the algorithm presented in this paper. First, a simplicial partition of the grid is found that provides a partition of the entire state space into polytopic cells. Then, the piecewise-affine approximation of the nonlinearity within each cell of the partition is derived. Finally, a polytopic description of the cells and a parametric description of the boundaries between cells is created. Each cell of the partition will have a closed loop equilibrium at a point that must be specified. This paper presents an optimization objective that can be used to automate the selection of these equilibrium points. All steps in this process axe completely automated, which represents a key step in the development of control synthesis tools for piecewise-affine approximations of nonlinear systems.
Sponsorship	American Autom. Control Council
Starting Page	3189
Ending Page	3194
File Size	640829
Page Count	6
File Format	PDF
ISBN	0780364953
ISSN	07431619
DOI	10.1109/ACC.2001.946412
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-06-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Control design Nonlinear systems Control system synthesis Output feedback Automatic control Partitioning algorithms Nonlinear control systems Piecewise linear techniques State-space methods Power system modeling
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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