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

Paper:

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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
Creative Commons License
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:
T. Taniguchi, L. Eciolaza, and M. 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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