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This paper investigates the stability properties and performance of super-twisting sliding-mode control loops subject to periodic perturbations. Although there exist conditions on the control gains that guarantee finite-time stability of…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Dimitrios Papageorgiou , Christopher Edwards

Time-optimal control for high-order chain-of-integrator systems with full state constraints remains an open and challenging problem within the discipline of optimal control. The behavior of optimal control in high-order problems lacks…

Optimization and Control · Mathematics 2025-02-13 Yunan Wang , Chuxiong Hu , Zeyang Li , Yujie Lin , Shize Lin , Suqin He

In this paper, the feasibility of recently developed higher order delayed sliding mode controllers is addressed. With this aim the robustness against the measurement noise and mismatched perturbations for the systems governed by such…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Moussa Labbadi , Denis Efimov , Leonid Fridman

Proportional-Integral-Derivative (PID) control has been the workhorse of control technology for about a century. Yet to this day, designing and tuning PID controllers relies mostly on either tabulated rules (Ziegler-Nichols) or on classical…

Optimization and Control · Mathematics 2023-11-21 Qi Mao , Yong Xu , Jianqi Chen , Jie Chen , Tryphon Georgiou

This paper study the parameter selection of predefined-time sliding mode and try to design a general nonsingular predefined-time terminal sliding mode. 1). On parameter selection: Some existing predefined-time sliding modes are designed to…

Optimization and Control · Mathematics 2020-10-07 Wen Yan

A Nonlinear PID (NLPID) controller is proposed to stabilize the translational and rotational motion of a 6-DOF UAV quadrotor system and enforce it to track a given trajectory with minimum energy and error. The complete nonlinear model of…

Systems and Control · Computer Science 2018-10-18 Aws Abdulsalam Najm , Ibraheem Kasim Ibraheem

In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

Optimization and Control · Mathematics 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

This paper designs a servo control system based on sliding mode control for the shape control of elastic objects. In order to solve the effect of non-smooth and asymmetric control saturation, a Gaussian-based continuous differentiable…

Robotics · Computer Science 2023-12-27 Fangqing Chen

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

Sliding tasks performed by aerial robots are valuable for inspection and simple maintenance tasks at height, such as non-destructive testing and painting. Although various end-effector designs have been used for such tasks, non-actuated…

This paper describes the design of a robust controller for position control in systems with sandwiched backlash. The backlash, which is nonsmooth and nonlinear, is inevitable in the operation of many systems, but it can have destructive…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Yoav Vered , Stephen J. Elliott

In this paper, modification of the classical PID controller and development of open-loop control mechanisms to improve stability and robustness of a differential wheeled robot are discussed. To deploy the algorithm, a test platform has been…

Robotics · Computer Science 2021-11-09 Samet Oguten , Bilal Kabas

In this paper, a robust control solution for a satellite equipped with a robotic manipulator is presented. First, the dynamic model of the system is derived based on quaternions to describe the evolution of the attitude of the base…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Jacopo Giordano , Angelo Cenedese

This paper develops a unified frequency-domain framework for the analysis of sliding-mode control systems, encompassing both discontinuous and Lipschitz-continuous implementations. Using describing function (DF) theory, closed-form…

Systems and Control · Electrical Eng. & Systems 2025-07-23 Ulises Pérez-Ventura

In this paper, we present a novel cascade control structure with formal guarantees of uniform almost global asymptotic stability for the state tracking error dynamics of a quadcopter. The proposed approach features a model predictive…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Maedeh Izadi , A. T. J. R. Cobbenhagen , Ruben Sommer , A. R. P. Andriën , Erjen Lefeber , W. P. M. H. Heemels

We consider a control problem for longitudinal vibrations of a nonhomogeneous bar with clamped ends. The vibrations of the bar are controlled by an external force which is distributed along the bar. For the minimization problem of mean…

Mathematical Physics · Physics 2013-02-19 Larissa Manita

Achieving stable hopping has been a hallmark challenge in the field of dynamic legged locomotion. Controlled hopping is notably difficult due to extended periods of underactuation combined with very short ground phases wherein ground…

Robotics · Computer Science 2023-06-08 Noel Csomay-Shanklin , Victor D. Dorobantu , Aaron D. Ames

Motivated by the concept of Quasi-Sliding Mode (QSM) in discrete-time systems, this paper presents a novel approach that relaxes the requirement of ubiquitous exact sliding motion in continuous-time systems, aiming to achieve an…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Pankaj K Mishra , Pushpak Jagtap

This research proposes a Sliding Mode PID (SMC-PID) controller to improve the speed control performance of DC servo motors, which are widely used in industrial applications such as robotics and CNC. The objective of the proposed controller…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Ngoc Son Vu , Van Cuong Pham , Phuc Anh Nguyen , My Linh Dao Thi , Thanh Hai Vu

This paper proposes several nonlinear control strategies for trajectory tracking of a quadcopter system based on the property of differential flatness. Its originality is twofold. Firstly, it provides a flat output for the quadcopter…

Systems and Control · Computer Science 2016-09-28 Thinh Nguyen , Ionela Prodan , Laurent Lefèvre