Analytical approximation method for the center manifold in the nonlinear output regulation problem

2008 ◽  
Author(s):  
Hidetoshi Suzuki ◽  
Noboru Sakamoto ◽  
Sergej Celikovsky
Keyword(s):  
Approximation Method ◽  
Center Manifold ◽  
Analytical Approximation ◽  
Output Regulation ◽  
Nonlinear Output Regulation ◽  
Output Regulation Problem

scholarly journals On the nonlinear output regulation for systems described by Takagi-Sugeno fuzzy descriptor models with a steady-state mapping as an LMI optimization problem

2022 ◽  
Vol 9 (18) ◽  
pp. 85-91
Author(s):  
Luis A. Poblete ◽  
Tonatiuh Hernández-Cortés ◽  
Víctor Estrada-Manzo
Keyword(s):  
Steady State ◽  
Output Regulation ◽  
Descriptor Systems ◽  
Linear Matrix ◽  
Control Law ◽  
Lmi Optimization ◽  
Nonlinear Output Regulation ◽  
Fuzzy Descriptor Models ◽  
Takagi Sugeno ◽  
Output Regulation Problem

This paper is devoted to provide a numerical solution the nonlinear output regulation problem for descriptor systems. The control law under design is a nonlinear one, it consists on a nonlinear stabilizer combined with linear steady-state mapping as well as nonlinear steady-state input mapping; all of them are computed via linear matrix inequalities. A numerical example as well as a mechanical system as well are used to illustrate the viability of the proposed approach.

Output regulation for switched discrete-time systems with output signal quantization

2021 ◽  
pp. 014233122198988
Author(s):  
Yaoli Zhang ◽  
Jun Zhao
Keyword(s):  
Discrete Time ◽  
Pulse Width ◽  
Pulse Width Modulation ◽  
Output Regulation ◽  
Feedback Controllers ◽  
Signal Quantization ◽  
Discrete Time Systems ◽  
Output Regulation Problem ◽  
Time Systems ◽  
Coordinates Transformation

This paper investigates the output regulation problem for switched discrete-time systems with output quantization. We adopt the quantized output in feedback controllers and allow each subsystem to have its own quantization density, so that the communication network can be efficiently utilized. By using the different coordinates transformation, the solvability of the output regulation problem is guaranteed under deigned output feedback controllers with the switching signals satisfying a dwell time constraint. In the simulation, a pulse-width modulation driven boost converter model is employed to validate the result.

Output regulation of output feedback systems with unknown exosystem and unknown high-frequency gain sign

2016 ◽  
Vol 40 (1) ◽  
pp. 171-178 ◽  
Author(s):  
Meichen Guo ◽  
Lu Liu
Keyword(s):  
Output Feedback ◽  
High Frequency ◽  
Adaptive Controller ◽  
Output Regulation ◽  
Design Approach ◽  
Feedback Systems ◽  
Unknown Parameters ◽  
Robust Output Regulation ◽  
Matching Design ◽  
Output Regulation Problem

This paper discusses the global robust output regulation problem for a class of nonlinear output feedback systems. It is assumed that the exosystem and the high-frequency gain sign are unknown and that the unknown parameters can be arbitrarily large. To solve this problem, two major challenges are to be overcome. First, the concurrence of the unknown exosystem and the unknown high-frequency gain sign cannot be handled merely by designing estimators for the two unknown parameters respectively. Second, the conventional extended matching design approach cannot be directly implemented, owing to the arbitrarily large unknown parameters. To cope with these difficulties, a new estimator is developed, and the extended matching design approach is modified to obtain a suitable update law for the estimator. The effectiveness of the proposed adaptive controller is illustrated by an example.

Sign in / Sign up

Export Citation Format

Share Document