On nonlinear horizontal dynamics and vibrations control for high-speed elevators

DR Santo, JM Balthazar, AM Tusset… - Journal of Vibration …, 2018 - journals.sagepub.com
In this work, the horizontal nonlinear response of a three-degree-of-freedom vertical
transportation model excited by guide rail deformations is investigated. The equation of …

[HTML][HTML] Tutorial and review on the state-dependent Riccati equation

SR Nekoo - Journal of Applied Nonlinear Dynamics, 2019 - lhscientificpublishing.com
This paper presents an extensive tutorial and a complete review on the state-dependent
Riccati equation (SDRE). The review covers contributions from the beginning to (near the …

Suboptimal control of fractional-order dynamic systems with delay argument

A Jajarmi, D Baleanu - Journal of Vibration and Control, 2018 - journals.sagepub.com
In this paper, an efficient linear programming formulation is proposed for a class of fractional-
order optimal control problems with delay argument. By means of the Lagrange multiplier in …

On nonlinear dynamics of a parametrically excited pendulum using both active control and passive rotational (MR) damper

AM Tusset, FC Janzen, V Piccirillo… - Journal of Vibration …, 2018 - journals.sagepub.com
This paper presents two control strategies for a parametrically excited pendulum with chaotic
behavior. One of them considers active control obtained by nonlinear saturation control …

A new approach for the nonlinear fractional optimal control problems with external persistent disturbances

A Jajarmi, M Hajipour, E Mohammadzadeh… - Journal of the Franklin …, 2018 - Elsevier
The aim of this manuscript is to investigate an efficient iterative approach for the nonlinear
fractional optimal control problems affected by the external persistent disturbances. For this …

Chaotic attractors with fractional conformable derivatives in the Liouville–Caputo sense and its dynamical behaviors

JES Pérez, JF Gómez-Aguilar, D Baleanu, F Tchier - Entropy, 2018 - mdpi.com
This paper deals with a numerical simulation of fractional conformable attractors of type
Rabinovich–Fabrikant, Thomas' cyclically symmetric attractor and Newton–Leipnik …

A novel controller for nonlinear uncertain systems using a combination of SDRE and function approximation technique: Regulation and tracking of flexible-joint …

N Nasiri, A Fakharian, MB Menhaj - Journal of the Franklin Institute, 2021 - Elsevier
This paper presents a novel combined State Dependent Riccati Equation (SDRE)/Function
Approximation Technique (FAT)-based control design for nonlinear uncertain systems. The …

Numerical exploratory analysis of dynamics and control of an atomic force microscopy in tap** mode with fractional order

MA Ribeiro, JM Balthazar, WB Lenz… - Shock and …, 2020 - Wiley Online Library
In this paper, we investigate the mechanism of atomic force microscopy in tap** mode
(AFM‐TM) under the Casimir and van der Waals (VdW) forces. The dynamic behavior of the …

Nonlinear piezoelectric vibration energy harvesting from a portal frame with two-to-one internal resonance

RT Rocha, JM Balthazar, AM Tusset, V Piccirillo… - Meccanica, 2017 - Springer
In the few decades, the study of electro-mechanical systems which are capable to extract
energy from an operating system in the environment has been of most importance. In this …

Bifurcation, chaos and its control in a fractional order power system model with uncertainties

K Rajagopal, A Karthikeyan, P Duraisamy… - Asian Journal of …, 2019 - Wiley Online Library
The paper investigates the complex nonlinear behavior of a fractional order four dimension
power system (FOFDPS). The discrete mathematical model of the FOFDPS is derived and …