Input-output linearization of general nonlinear control systems

2005 ◽  
Author(s):  
M. Guay ◽  
P.J. McLellan
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Nonlinear Control Systems ◽  
Input Output ◽  
Input Output Linearization

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.

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 and Optimization of Nonlinear Control Systems Using Singular Value Decomposition

2004 ◽  
Vol 127 (1) ◽  
pp. 105-113 ◽  
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 for linear systems, but it has not been applied to nonlinear systems. In this paper, SVD is used 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 using the mode shapes. Optimizing control effort and performance is achieved by truncating some mode shapes in the linear mode shape combinations. The proposed method is applied to the temperature control of a thermal system, and design guidelines are provided to overcome input-constraint-violating solutions.

Nonlinear Control Systems

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

Export Citation Format

Share Document