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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

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

This paper presents a novel approach for optical flow control of Micro Air Vehicles (MAVs). The task is challenging due to the nonlinearity of optical flow observables. Our proposed Incremental Nonlinear Dynamic Inversion (INDI) control…

Robotics · Computer Science 2023-07-07 Hann Woei Ho , Ye Zhou

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

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

Incremental Nonlinear Dynamic Inversion (INDI) control has attracted increasing research attention for it retains the high-performance of NDI and has enhanced robustness. However, when actual elements of the flight control system and…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Zhidong Lu , Florian Holzapfel

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

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

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

This paper presents a new improved nonlinear tracking differentiator (INTD) with hyperbolic tangent function in the state space system. The stability and convergence of the INTD are thoroughly investigated and proved. Through the error…

Optimization and Control · Mathematics 2018-03-09 Ibraheem Kasim Ibraheem , Wameedh Riyadh Abdul-Adheem

This paper presents a novel anti-windup proportional-integral controller for stable multi-input multi-output nonlinear plants. We use tools from projected dynamical systems theory to force the integrator state to remain in a desired…

Optimization and Control · Mathematics 2022-07-19 Pietro Lorenzetti , George Weiss

This work presents a simulation-based comparative robustness analysis of Incremental Nonlinear Dynamic Inversion (INDI) and Nonlinear Dynamic Inversion augmented with a nonlinear disturbance observer (NDI+NDO) for fully actuated aerial…

Robotics · Computer Science 2026-05-08 Benedetta Rota , Mirko Mizzoni , Amr Afifi , Pieter van Goor , Antonio Franchi

This paper first demonstrates that applying standard incremental nonlinear dynamic inversion (INDI) with incremental control allocation (ICA) to input nonaffine systems relies on an untenable linear approximation of the actuator model. It…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Adam Hallmark , Pan Zhao

This paper proposes a spectral-based tuning method for proportional-integral (PI) controllers in integrating-plus-dead-time (IPDT) systems. The design objective is to achieve unified exponential decay for both reference tracking and…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Dhamdhawach Horsuwan

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

This paper suggests to replace PIs and PIDs, which play a key role in control engineering, by intelligent Proportional-Derivative feedback loops, or iPDs, which are derived from model-free control. This standpoint is enhanced by a…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Michel Fliess , Cédric Join

This paper presents a new formulation for model-free robust optimal regulation of continuous-time nonlinear systems. The proposed reinforcement learning based approach, referred to as incremental adaptive dynamic programming (IADP),…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Cong Li , Yongchao Wang , Fangzhou Liu , Qingchen Liu , Martin Buss

This paper proposes a nonlinear control architecture for flexible aircraft simultaneous trajectory tracking and load alleviation. By exploiting the control redundancy, the gust and maneuver loads are alleviated without degrading the…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Xuerui Wang , Tigran Mkhoyan , Roeland De Breuker

This paper presents a comprehensive approach to nonlinear dynamics identification for UAVs using a combination of data-driven techniques and theoretical modeling. Two key methodologies are explored: Proportional-Derivative (PD)…

Systems and Control · Electrical Eng. & Systems 2024-10-16 Bryan S. Guevara , Viviana Moya , Daniel C. Gandolfo , Juan M. Toibero

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…

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