Fractional order state feedback control for improved lateral stability for tractor-trailers in platooning

2021 ◽  
Vol 1 (1) ◽  
pp. 1
Author(s):  
Roy McCann ◽  
Rasheed Abdulkader
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
State Feedback ◽  
State Feedback Control ◽  
Lateral Stability ◽  
Order State

scholarly journals H∞ state feedback control of commensurate fractional order systems

2013 ◽  
Vol 46 (1) ◽  
pp. 54-59 ◽  
Author(s):  
Lamine Fadiga ◽  
Jocelyn Sabatier ◽  
Christophe Farges
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
State Feedback ◽  
State Feedback Control ◽  
Fractional Order Systems

scholarly journals New Results on Synchronization of Fractional-Order Memristor‐Based Neural Networks via State Feedback Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Xiaofan Li ◽  
Yuan Ge ◽  
Hongjian Liu ◽  
Huiyuan Li ◽  
Jian-an Fang
Keyword(s):  
Neural Networks ◽  
Feedback Control ◽  
Fractional Order ◽  
Nonsmooth Analysis ◽  
State Feedback ◽  
Direct Method ◽  
Young Inequality ◽  
State Feedback Control ◽  
Feedback Controllers ◽  
Theoretical Results

This paper addresses the synchronization issue for the drive-response fractional-order memristor‐based neural networks (FOMNNs) via state feedback control. To achieve the synchronization for considered drive-response FOMNNs, two feedback controllers are introduced. Then, by adopting nonsmooth analysis, fractional Lyapunov’s direct method, Young inequality, and fractional-order differential inclusions, several algebraic sufficient criteria are obtained for guaranteeing the synchronization of the drive-response FOMNNs. Lastly, for illustrating the effectiveness of the obtained theoretical results, an example is given.

scholarly journals Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1146
Author(s):  
Călin-Adrian Popa ◽  
Eva Kaslik
Keyword(s):  
Neural Networks ◽  
Feedback Control ◽  
Fractional Order ◽  
Finite Time ◽  
State Feedback ◽  
Neutral Type ◽  
Leakage Delay ◽  
State Feedback Control ◽  
Time Varying ◽  
Control Scheme

This paper studies fractional-order neural networks with neutral-type delay, leakage delay, and time-varying delays. A sufficient condition which ensures the finite-time synchronization of these networks based on a state feedback control scheme is deduced using the generalized Gronwall–Bellman inequality. Then, a different state feedback control scheme is employed to realize the finite-time Mittag–Leffler synchronization of these networks by using the fractional-order extension of the Lyapunov direct method for Mittag–Leffler stability. Two numerical examples illustrate the feasibility and the effectiveness of the deduced sufficient criteria.

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.

scholarly journals State-Feedback Control for Fractional-Order Nonlinear Systems Subject to Input Saturation

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Junhai Luo
Keyword(s):  
Feedback Control ◽  
Nonlinear Systems ◽  
Fractional Order ◽  
State Feedback ◽  
Control Method ◽  
Input Saturation ◽  
State Feedback Control ◽  
Sufficient Condition ◽  
Feedback Control Method ◽  
Linear State

We give a state-feedback control method for fractional-order nonlinear systems subject to input saturation. First, a sufficient condition is derived for the asymptotical stability of a class of fractional-order nonlinear systems. Then based on Gronwall-Bellman lemma and a sector bounded condition of the saturation function, a linear state-feed back controller is designed. Finally, two simulation examples are presented to show the validity of the proposed method.

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