There are 3 repositories under nonlinear-systems topic.
Fast and simple nonlinear solvers for the SciML common interface. Newton, Broyden, Bisection, Falsi, and more rootfinders on a standard interface.
Non-Linear Dynamic Systems
In this project, an observer in the form of a stable neural network is proposed for any nonlinear MIMO system. As a result of experience, this observer utilizes a nonlinear in parameter neural network (NLPNN) which unlike LPNN, supports systems with higher degree of nonlinearity with no pre-knowledge of its dynamics. The learning rule for this neural network is based on the back-propagation method with a small modification. In addition, in order to guarantee the robustness of the observer, an e-modification term is added. Also, it is noted that there are no hard constraints like SPR on this method. Subsequently, the stability of this neural network observer is guaranteed by Lyapunov's direct method. At the end, the simulation results for a flexible-joint manipulator with this observer is demonstrated.
Obtaining the best coefficients of Inverse Dynamics Controller, for a dynamical system, with Optimization Algorithms.
Computing Irreversible Evolutions
ODESCA is a MATLAB tool for the creation and analysis of dynamic systems described by ordinary differential equations
This repository includes different versions of the prescribed-time controller as Simulink blocks and MATLAB script codes for engineering applications.
Model-based Calibration of Multiple Injections for a CI engine
This repository includes some examples for the suboptimal active disturbance rejection controller (S-ADRC). The files are written in MATLAB and Simulink.
C++11 implementation of numerical algorithms described in Numerical Analysis by Richard L. Burden and J. Douglas Faires
MATLAB toolbox for analysing controllability and accessibility of nonlinear systems.
Repository for my Nonlinear Dynamics files
This project is about implementing the classic sliding mode method for controlling a third degree nonlinear system stated in the report that has 3 uncertain parameters. The first chapter is about designing the sliding mode controller and its parameters. And finally, the second chapter is devoted to simulation and its results. The results show that tracking was done perfectly but with the cost of creating the chattering phenomenon and a big overshoot in the initial moments for the control and error vectors.
In this project a rather brilliant observer called Thau observer or Lipschitz observer is proposed and designed to estimate the states of a special form of nonlinear systems. All the details regarding the observer design and its simulation are given in "Kian Khaneghahi - Fault Midterm - Q4.pdf" report file.
Reproducible code for our paper, "On Causal Discovery with Convergent Cross Mapping"
Multiphysics modeling of nonlinear contact with Hexagon software
Kalman filtering is a powerful technique for estimating the state of nonlinear mechatronics systems from noisy measurements. Kalman filters have a wide range of applications in robotics, vehicle control, and aircraft control.
In this repository, some numerical algorithms for solving the nonlinear optimal control problem are included written in MATLAB/Simulink.
ELEVEN is a Matlab code for robust optimization and uncertainty quantification of an elevator brake system.
Polynomial observers: a Savitzky-Golay filter for estimating the derivatives of an output signal, then using it to estimate the state of a nonlinear dynamical system.
A novel neural network for effective learning of highly impulsive/oscillatory dynamic systems by jointly utilizing low-order derivatives
This repository contains numerical methods for finding solutions of a nonlinear equation, as well as nonlinear and linear equations' systems.
Evaluation of an analytical Volterra series solution to the Burgers equation
Quadratization preprocessing for the reachability Problem of ODE
A collection of various scientific notebooks ✨
Solving nonlinear coordinate-wise monotonic systems of algebraic equations
RK4 simulation of damped and driven simple pendulum to investigate chaotic behaviour of nonlinear systems.
By using nonlinear systems and R, algorithm that generate fractals in R
A Design of Experiment (DoE) / excitation signal design technique for the identification of nonlinear dynamic systems.
Pure Java nonlinear equation solving and unconstrained optimization library migrated to gradle and jitpack
The "GBEES" repsository containes the codebase accompying the paper "State Estimation of Chaotic Trajectories: A Higher-Dimensional, Grid-Based, Bayesian Approach to Uncertainty Propagation" presented at the January 2024 AIAA/AAS Space Flight Mechanics Meeting.
Nonlinear equations (Bisection and Secant methods), Nonlinear system (Fixed-point iteration)