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

2013 ◽  
Vol 17 (6) ◽  
pp. 828-840 ◽  
Author(s):  
Tadanari Taniguchi ◽  
◽  
Luka Eciolaza ◽  
Michio Sugeno ◽  
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Feedback Linearization ◽  
Controller Design ◽  
Robust Stabilization ◽  
Nonlinear Control Systems ◽  
Input Output ◽  
Modeling Error ◽  
Look Up Table ◽  
Approximation Errors

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.

Nonlinear Control Systems

2004 ◽  
Author(s):  
Christopher I. Byrnes ◽  
Alberto Isidori
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Nonlinear Control Systems
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