State Feedback Law for Discrete-Time Fractional Order Nonlinear Systems

2022 ◽  
pp. 221-245
Author(s):  
Ewa Pawłuszewicz ◽  
Andrzej Koszewnik ◽  
Piotr Burzynski
Keyword(s):  
Nonlinear Systems ◽  
Fractional Order ◽  
Discrete Time ◽  
State Feedback

scholarly journals State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model

2009 ◽  
Vol 19 (6) ◽  
pp. 865-871
Author(s):  
Tae-Kue Kim ◽  
Fa-Guang Wang ◽  
Seung-Kyu Park ◽  
Tae-Sung Yoon ◽  
Ho-Kyun Ahn ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Feedback Linearization ◽  
State Feedback ◽  
Fuzzy Model

scholarly journals ON STATE FEEDBACK AND OBSERVERS FOR A CLASS OF DELAY DISCRETE-TIME NONLINEAR SYSTEMS

2007 ◽  
Vol 40 (8) ◽  
pp. 59-64
Author(s):  
K.E. Bouazza ◽  
M. Boutayeb ◽  
M. Darouach
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
State Feedback

Stabilization of discrete-time nonlinear systems by smooth state feedback

1993 ◽  
Vol 21 (3) ◽  
pp. 255-263 ◽  
Author(s):  
Christopher I. Byrnes ◽  
Wei Lin ◽  
Bijoy K. Ghosh
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Smooth State

scholarly journals Observer-based trajectory tracking control with preview action for a class of discrete-time Lipschitz nonlinear systems and its applications

2020 ◽  
Vol 12 (7) ◽  
pp. 168781402092265
Author(s):  
Xiao Yu ◽  
Fucheng Liao
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Trajectory Tracking ◽  
Tracking Control ◽  
State Feedback ◽  
Feedback Controller ◽  
Matrix Inequality ◽  
State Feedback Controller ◽  
Lipschitz Nonlinear Systems ◽  
Reference Knowledge

In this article, the observer-based preview tracking control problem is investigated for a class of discrete-time Lipschitz nonlinear systems. To convert the observer-based trajectory tracking problem into a regulation problem, the classical difference technique is used to construct an augmented error system containing tracking error signal and previewable reference knowledge. Then, a state feedback controller with specific structures is taken into consideration. Sufficient design condition is established, based on the Lyapunov function approach, to guarantee the asymptotic stability of the closed-loop system. By means of some special mathematical derivations, the bilinear matrix inequality condition is successfully transformed into a tractable linear matrix inequality. Meanwhile, the gains of both observer and tracking controller can be computed simultaneously only in one step. As for the original system, the developed tracking control law is composed of an integrator, an observer-based state feedback controller, and a preview action term related to the reference signal. Finally, two numerical examples are provided to demonstrate the effectiveness of the theoretical method.

scholarly journals State-Feedback Control in Descriptor Discrete-Time Fractional-Order Linear Systems: A Superstability-Based Approach

2021 ◽  
Vol 11 (22) ◽  
pp. 10568
Author(s):  
Kamil Borawski
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Discrete Time ◽  
State Feedback ◽  
Matrix Pencil ◽  
State Feedback Control ◽  
Drazin Inverse ◽  
Dynamic State ◽  
Static State ◽  
Order Linear

In this article, the superstabilizing state-feedback control problem in descriptor discrete-time fractional-order linear (DDFL) systems with a regular matrix pencil is studied. Methods for investigating the stability and superstability of the considered class of dynamical systems are presented. Procedures for the computation of the static state-feedback (SSF) and dynamic state-feedback (DSF) gain matrices such that the closed-loop DDFL (CL-DDFL) system is superstable are presented. A numerical example is used to show the efficacy of the presented approach. Our considerations were based on the Drazin inverse matrix method.

Modeling and Fuzzy Control for Complex Flexible Nonlinear Systems with Time-Delay

2014 ◽  
Vol 602-605 ◽  
pp. 920-923
Author(s):  
Ji Xiang Chen
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Nonlinear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Control Approach ◽  
Fuzzy State

A time-delay discrete-time fuzzy singularly perturbed modeling and fuzzy state feedback control approach are presented for a class of complex flexible nonlinear systems with time-delay. The considered flexible nonlinear system is firstly described by a time-delay standard discrete-time fuzzy singular perturbation model. A fuzzy state feedback control law is secondly design. By using a matrix spectral norm and linear matrix inequalities approach, the sufficient conditions of the controller existence are divided. The provided controller not only can stabilize the resulting closed-loop system but also overcome the effects caused by both time-delay and external disturbances. A simulation example is given to illustrate the effectiveness of the developed result.

Sign in / Sign up

Export Citation Format

Share Document