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JACIII Vol.17 No.6 pp. 828-840
doi: 10.20965/jaciii.2013.p0828
(2013)

Paper:

LUT Controller Design with Piecewise Bilinear Systems Using Estimation of Bounds for Approximation Errors

Tadanari Taniguchi*, Luka Eciolaza**, and Michio Sugeno**

*Tokai University, 4-1-1 Kitakaname, Hiratsuka, Kanagawa 259-1292, Japan

**European Center for Soft Computing, c/ Gonzalo Gutierrez Quieros, s/n, 33600 Mieres, Asturias, Spain

Received:
March 26, 2013
Accepted:
September 18, 2013
Published:
November 20, 2013
Keywords:
nonlinear control, piecewise bilinear model, robust control, look-up-table controller
Abstract

We propose the stabilization of nonlinear control systems approximated by Piecewise Bilinear (PB) models. The approximated model is fully parametric and a Look-Up-Table (LUT) represents its controller. Input-Output (I/O) feedback linearization is applied to stabilize PB control systems. We further propose PB modeling combined with conventional feedback linearization as a very powerful tool for analyzing and synthesizing nonlinear control systems. We also propose a method for designing robust stabilization controllers taking modeling error into consideration. Examples confirm the feasibility of our proposals.

Cite this article as:
Tadanari Taniguchi, Luka Eciolaza, and Michio Sugeno, “LUT Controller Design with Piecewise Bilinear Systems Using Estimation of Bounds for Approximation Errors,” J. Adv. Comput. Intell. Intell. Inform., Vol.17, No.6, pp. 828-840, 2013.
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