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In this paper we introduce a new method to design control laws for non-linear underactuated systems. Our method produces an infinite dimensional family of control laws, whereas most control techniques only produce a finite dimensional…

Optimization and Control · Mathematics 2007-05-23 Dave Auckly , Lev Kapitanski , Warren White

Although the stabilization of underactuated systems remains a challenging problem, the total energy shaping approach provides a general framework for addressing this objective. However, the practical implementation of this method is…

Systems and Control · Electrical Eng. & Systems 2026-05-12 M. Reza J. Harandi , Mehrzad Namvar

If one wants to explore the properties of a dynamical system systematically one has to be able to track equilibria and periodic orbits regardless of their stability. If the dynamical system is a controllable experiment then one approach is…

Dynamical Systems · Mathematics 2009-03-19 Jan Sieber , Bernd Krauskopf

Bipedal robots are essentially unstable because of their complex kinematics as well as high dimensional state space dynamics, hence control and generation of stable walking is a complex subject and still one of the active topics in the…

Robotics · Computer Science 2019-06-06 Mohammadreza Kasaei , Nuno Lau , Artur Pereira

Precise control of lower limb exoskeletons during sit-to-stand (STS) transitions remains a central challenge in rehabilitation robotics owing to the highly nonlinear, time-varying dynamics of the human-exoskeleton system and the stringent…

Robotics · Computer Science 2026-04-07 Ranjeet Kumbhar , Rajmeet Singh , Appaso M Gadade , Ashish Singla , Irfan Hussain

This letter considers cascaded model predictive control (MPC) as a computationally lightweight method for controlling a tandem-rotor helicopter. A traditional single MPC structure is split into separate outer and inner-loops. The outer-loop…

Optimization and Control · Mathematics 2023-06-30 Faraaz Ahmed , Ludwik Sobiesiak , James Richard Forbes

The discipline of automatic control is making increased use of concepts that originate from the domain of machine learning. Herein, reinforcement learning (RL) takes an elevated role, as it is inherently designed for sequential decision…

Systems and Control · Electrical Eng. & Systems 2024-12-04 Maximilian Schenke , Shalbus Bukarov

This paper presents a design of oscillation damping control for the cable-Suspended Aerial Manipulator (SAM). The SAM is modeled as a double pendulum, and it can generate a body wrench as a control action. The main challenge is the fact…

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

Legged locomotion shows promise for running in complex, unstructured environments. Designing such legged robots requires considering heterogeneous, multi-domain constraints and variables, from mechanical hardware and geometry choices to…

Robotics · Computer Science 2024-07-18 Reed Truax , Feng Liu , Souma Chowdhury , Ryan St. Pierre

We propose and experimentally demonstrate a feedback control method that allows synchronizing the motion of a chain of several coupled nonlinear oscillators actuated through one end of the chain. The chain considered in this work is a…

Optimization and Control · Mathematics 2022-12-29 Loi Do , Milan Korda , Zdeněk Hurák

Classical PID control is widely applied in an engineering system, with parameter regulation relying on a method like Trial - Error Tuning or the Ziegler - Nichols rule, mainly for a Single - Input Single - Output (SISO) system. However, the…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Zimao Sheng , Hong'an Yang

Composite adaptive control (CAC) that integrates direct and indirect adaptive control techniques can achieve smaller tracking errors and faster parameter convergence compared with direct and indirect adaptive control techniques. However,…

Systems and Control · Computer Science 2022-07-08 Yongping Pan , Lin Pan , Haoyong Yu

This work describes a technique for active rejection of multiple independent and time-correlated stochastic disturbances for a nonlinear flexible inverted pendulum with cart system with uncertain model parameters. The control law is…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Vincent W. Hill

A Python module for rapid prototyping of constraint-based closed-loop inverse kinematics controllers is presented. The module allows for combining multiple tasks that are resolved with a quadratic, nonlinear, or model predictive…

Robotics · Computer Science 2019-01-23 Mathias Hauan Arbo , Esten Ingar Grøtli , Jan Tommy Gravdahl

In this paper we study an optimal control problem that is affine in two-dimensional bounded control. The problem is related to the stabilization of an inverted spherical pendulum in the vicinity of the upper unstable equilibrium. We find…

Optimization and Control · Mathematics 2019-09-12 Larisa Manita , Mariya Ronzhina

The variable-height inverted pendulum (VHIP) model enables a new balancing strategy by height variations of the center of mass, in addition to the well-known ankle strategy. We propose a biped stabilizer based on linear feedback of the VHIP…

Robotics · Computer Science 2020-03-31 Stéphane Caron

The stability of a piezoelectric structure controlled by a digital vibration absorber emulating a shunt circuit is investigated in this work. The formalism of feedback control theory is used to demonstrate that systems with a low…

Dynamical Systems · Mathematics 2024-01-11 Ghislain Raze , Jennifer Dietrich , Gaëtan Kerschen

Accurate and robust positioning of rotor axle is essential for efficient and safe operation of high-speed rotational machines with active magnetic bearings. This study presents a cascaded nonlinear control strategy for vertical axial…

Systems and Control · Electrical Eng. & Systems 2023-07-27 Dimitrios Papageorgiou , Ilmar Santos

This paper presents an intelligent controller for uncertain underactuated nonlinear systems. The adopted approach is based on sliding mode control and enhanced by an artificial neural network to cope with modeling inaccuracies and external…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Josiane Maria de Macedo Fernande , Marcelo Costa Tanaka , Wallace Moreira Bessa , Edwin Kreuzer
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