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.

Structural Analysis of Nonlinear Control Systems Using Singular Value Decomposition: Part I — Approach

2003 ◽  
Author(s):  
Kwan-Woong Gwak ◽  
Glenn Y. Masada
Keyword(s):  
Structural Analysis ◽  
Singular Value Decomposition ◽  
Nonlinear Control ◽  
Control Systems ◽  
Singular Value ◽  
Mode Shapes ◽  
Nonlinear Control Systems ◽  
Control Input ◽  
Input Output ◽  
Value Decomposition

Structural information of a system/controller allows a designer to diagnose performance characteristics in advance and to make better choices of solution methods. Singular value decomposition (SVD) is a powerful structural analysis tool that has been applied to linear systems and controller designs, but it has not been used for nonlinear systems. In this paper, SVD is use to structurally analyze and to optimally design nonlinear control systems using the linear algebraic equivalence of the nonlinear controller. Specifically, SVD is used to identify control input/output mode shapes, and the control input/output distribution patterns are analyzed with the mode shapes. Optimizing control effort and performance is achieved by truncating some mode shapes in the linear mode shape combinations.

On robust stabilization of nonlinear control systems

1989 ◽  
Vol 12 (4) ◽  
pp. 373-379 ◽  
Author(s):  
Guanrong Chen ◽  
Rui J.P. de Figueiredo
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Robust Stabilization ◽  
Nonlinear Control Systems

scholarly journals Nonregular feedback linearization of a class of multi-input nonlinear control systems

2019 ◽  
Vol 52 (16) ◽  
pp. 286-291
Author(s):  
Florentina Nicolau ◽  
Witold Respondek ◽  
Shunjie Li
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Feedback Linearization ◽  
Nonlinear Control Systems

State feedback linearization of nonlinear control systems on homogeneous time scales

2019 ◽  
Vol 31 ◽  
pp. 69-85
Author(s):  
Zbigniew Bartosiewicz ◽  
Juri Belikov ◽  
Ülle Kotta ◽  
Małgorzata Wyrwas
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Time Scales ◽  
Feedback Linearization ◽  
State Feedback ◽  
Nonlinear Control Systems
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