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A Second-order Nonlinear Differentiator (SOND) is presented in this paper. By combining both linear and nonlinear terms, this tracking differentiator shows better dynamical performances than other conventional differentiators do. The…

Systems and Control · Computer Science 2018-05-23 Ibraheem Kasim Ibraheem , Wameedh Riyadh Bdul-Adheem

Previous results reported in the robotics literature show the relationship between time-delay control (TDC) and proportional-integral-derivative control (PID). In this paper, we show that incremental nonlinear dynamic inversion (INDI) -…

Systems and Control · Computer Science 2021-12-06 Paul Acquatella B. , Wim van Ekeren , Qi Ping Chu

In this paper, we will consider a class of continuous-time stochastic control systems with both unknown nonlinear structure and unknown disturbances, and investigate the capability of the classical proportional-integral-derivative(PID)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Cheng Zhao , Shuo Yuan

In this paper, we derive a sensor based Nonlinear Dynamic Inversion (NDI) control law for a nonlinear system with first-order linear actuators, and compare it to Incremental Nonlinear Dynamic Inversion (INDI), which has gained popularity in…

Systems and Control · Electrical Eng. & Systems 2022-12-23 Rasmus Steffensen , Agnes Steinert , Ewoud Jan Jacob Smeur

Overall, in any system, the proportional term, integral term, and derivative term combined to produce a fast response time, less overshoot, no oscillations, increased stability, and no steady-state errors. Eliminating the steady state…

Nonlinear extension of the integral part of a standard proportional-integral-derivative (PID) feedback control is proposed for perturbed second-order systems. The approach is model-free and requires solely the Lipschitz boundedness of the…

Optimization and Control · Mathematics 2025-05-20 Michael Ruderman

Micro Aerial Vehicles (MAVs) are limited in their operation outdoors near obstacles by their ability to withstand wind gusts. Currently widespread position control methods such as Proportional Integral Derivative control do not perform well…

Robotics · Computer Science 2022-01-14 Ewoud J. J. Smeur , Guido C. H. E. de Croon , Qiping Chu

In order to further expand the flight envelope of quadrotors under actuator failures, we design a nonlinear sensor-based fault-tolerant controller to stabilize a quadrotor with failure of two opposing rotors in the high-speed flight…

Robotics · Computer Science 2020-10-28 Sihao Sun , Xuerui Wang , Qiping Chu , Coen de Visser

Optimal nonlinear damping control was recently introduced for the second-order SISO systems, showing some advantages over a classical PD feedback controller. This paper summarizes the main theoretical developments and properties of the…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Michael Ruderman

The increasing complexity of multirotor applications demands flight controllers that can accurately account for all forces acting on the vehicle. Conventional controllers model most aerodynamic and dynamic effects but often neglect…

Robotics · Computer Science 2026-04-15 Eckart Cobo-Briesewitz , Khaled Wahba , Wolfgang Hönig

A ship steering control is designed for a nonlinear maneuvering model whose rudder manipulation is constrained in both magnitude and rate. In our method, the tracking problem of the target heading angle with input constraints is converted…

Systems and Control · Electrical Eng. & Systems 2023-10-26 Rin Suyama , Satoshi Satoh , Atsuo Maki

Non-Intrusive Load Monitoring (NILM) has emerged as a key smart grid technology, identifying electrical device and providing detailed energy consumption data for precise demand response management. Nevertheless, NILM data suffers from…

Machine Learning · Computer Science 2025-04-21 Yiran Wang , Tangtang Xie , Hao Wu

In this paper, a novel adaptive tuning method of PID neural network (PIDNN) controller for nonlinear process is proposed. The method utilizes an improved gradient descent method to adjust PIDNN parameters where the margin stability will be…

Systems and Control · Computer Science 2015-12-24 Ali Zribi , Mohamed Chtourou , Mohamed Djemel

Improving robustness to uncertainty and rejection of external disturbances represents a significant challenge in aerial robotics. Nonlinear controllers based on Incremental Nonlinear Dynamic Inversion (INDI), known for their ability in…

Robotics · Computer Science 2025-01-14 Mohamad Hachem , Clément Roos , Thierry Miquel , Murat Bronz

It has recently been shown that all physical parameters of an Incremental Nonlinear Dynamic Inversion (INDI) controller can be estimated onboard a multirotor within half a second, which is fast enough to do the full identification during a…

Robotics · Computer Science 2026-05-08 Tom Aantjes , Till M. Blaha , Spilios Theodoulis , Ewoud J. J. Smeur

In this paper, the incremental nonlinear dynamic inversion (INDI) method is applied to the control system design of coaxial rotor UAVs. The aerodynamic uncertainty and anti-disturbance problems are solved in the control system design. The…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Z. C. Liu , Y. F. Zhang , Z. D. zhang , H. X. Chen

Fully actuated multirotor platforms decouple translational force generation from vehicle attitude, enabling independent control of position and orientation and shifting performance limitations from attitude authority to actuator dynamics…

Robotics · Computer Science 2026-05-13 Ali Sidar Yilmaz , Buday Turan , Lukas Pries , Markus Ryll

Since the classical proportional-integral-derivative (PID) controller has continued to be the most widely used feedback methods in engineering systems by far, it is crucial to investigate the working mechanism of PID in dealing with…

Optimization and Control · Mathematics 2025-12-03 Baoyou Qu , Cheng Zhao

The so-called ``New Space era'' has seen a disruptive change in the business models and manufacturing technologies of launch vehicle companies. However, limited consideration has been given to the benefits that innovation in control theory…

Systems and Control · Electrical Eng. & Systems 2023-07-04 Pedro Simplício , Paul Acquatella , Samir Bennani

We study tracking control for uncertain nonlinear multi-input, multi-output systems modelled by $r$-th order functional differential equations (encompassing systems with arbitrary strict relative degree) in the presence of input…

Optimization and Control · Mathematics 2023-04-18 Thomas Berger
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