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
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.
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