An observer-based controller for nonlinear systems: A gain scheduling approach

This paper presents an observer-based controller for discrete-time nonlinear systems whose control inputs are subject to a set of equality and/or inequality constraints. Firstly, a regularized least-square estimator is developed to estimate the states of the nonlinear system. Then, the estimated sta...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics and computation Vol. 237; pp. 695 - 711
Main Authors Hassan, Mohamed Fahim, Zribi, Mohamed
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.06.2014
Subjects
Computer simulation
Constrained systems
Control design
Control systems
Discrete-time nonlinear systems
Dynamical systems
Estimators
Gain scheduling
Inequalities
Least squares method
Nonlinear dynamics
Nonlinear state estimation
Constrained systems
Nonlinear state estimation
Control design
Discrete-time nonlinear systems
Online AccessGet full text

Cover

More Information
Summary:This paper presents an observer-based controller for discrete-time nonlinear systems whose control inputs are subject to a set of equality and/or inequality constraints. Firstly, a regularized least-square estimator is developed to estimate the states of the nonlinear system. Then, the estimated states are used to generate a feedback control law using the Jacobean linearization in conjunction with gain scheduling. The stability of the closed loop control system is rigorously investigated. Applications of the proposed observer-based control scheme to two numerical examples are presented. Then, the developed controller is used to control a synchronous machine which is subject to constraints on the control. The simulation results show the effectiveness of the proposed observer-based control scheme.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.03.130