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In this paper we provide a thorough, rigorous theoretical framework to assess optimality guarantees of sampling-based algorithms for drift control systems: systems that, loosely speaking, can not stop instantaneously due to momentum. We…

Robotics · Computer Science 2015-10-28 Edward Schmerling , Lucas Janson , Marco Pavone

We develop backstepping state feedback control to stabilize a moving shockwave in a freeway segment under bilateral boundary actuations of traffic flow. A moving shockwave, consisting of light traffic upstream of the shockwave and heavy…

Optimization and Control · Mathematics 2019-04-10 Huan Yu , Mamadou Diagne , Liguo Zhang , Miroslav Krstic

In the dynamics of open quantum systems, the interaction with the external environment usually leads to a contraction of the set of reachable states for the system as time increases, eventually shrinking to a single stationary point. In…

Quantum Physics · Physics 2007-09-12 Raffaele Romano

Taming chaos arising from dissipative non-autonomous nonlinear systems by applying additional harmonic excitations is a reliable and widely used procedure nowadays. But the suppressory effectiveness of generic non-harmonic periodic…

We present an adjoint sensitivity method for hybrid discrete -- continuous systems, extending previously published forward sensitivity methods. We treat ordinary differential equations and differential-algebraic equations of index up to two…

Optimization and Control · Mathematics 2019-04-19 Radu Serban , Antonio Recuero

This paper presents an experimental study of a path-tracking framework for autonomous vehicles in which the lateral control command is applied to a dynamic control point along the wheelbase. Instead of enforcing a fixed reference at either…

Robotics · Computer Science 2026-02-03 Alexandre Lombard , Florent Perronnet , Nicolas Gaud , Abdeljalil Abbas-Turki

In this report, we apply the proposed "para-model" framework in order to control the trajectory of a dynamical system-based robot. The optimization of the dynamical performances in closed-loop is performed using a derivative-free…

Systems and Control · Computer Science 2016-10-04 Loïc Michel

Hybrid dynamical systems are systems which undergo both continuous and discrete transitions. The Bolza problem from optimal control theory is applied to these systems and a hybrid version of Pontryagin's maximum principle is presented. This…

Optimization and Control · Mathematics 2021-11-24 William Clark , Maria Oprea , Andrew J. Graven

Low-dimensional models are ubiquitous in the bipedal robotics literature. On the one hand is the community of researchers that bases feedback control design on pendulum models selected to capture the center of mass dynamics of the robot…

Robotics · Computer Science 2022-02-04 Yukai Gong , Jessy Grizzle

This paper concerns the numerical procedure for solving hybrid optimal control problems with sliding modes. A sliding mode is coped with differential-algebraic equations (DAEs) and that guarantees accurate tracking of the sliding motion…

Optimization and Control · Mathematics 2021-01-21 Radoslaw Pytlak , Damian Suski

This paper addresses the nonovershooting control problem for strict-feedback nonlinear systems with unknown control direction. We propose a method that integrates extremum seeking with Lie bracket-based design to achieve approximately…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Kaixin Lu , Ziliang Lyu , Yanfang Mo , Yiguang Hong , Haoyong Yu

Impact-aware tasks (i.e. on purpose impacts) are not handled in multi-objective whole body controllers of hu-manoid robots. This leads to the fact that a humanoid robot typically operates at near-zero velocity to interact with the external…

Robotics · Computer Science 2020-05-27 Yuquan Wang , Arnaud Tanguy , Pierre Gergondet , Abderrahmane Kheddar

This paper derives a closed-form method for computing hybrid force-velocity control. The key idea is to maximize the kinematic conditioning of the mechanical system, which includes a robot, free objects, a rigid environment and contact…

Robotics · Computer Science 2021-03-26 Yifan Hou , Matthew T. Mason

Some mechanical systems, that are modeled to have inelastic collisions, nonetheless possess energy-conserving intermittent-contact solutions, known as collisionless solutions. Such a solution, representing a persistent hopping or walking…

Robotics · Computer Science 2024-02-27 Sergey Pankov

This paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust, global, exponential convergence to the desired equilibrium point of the system. The proposed control scheme…

Optimization and Control · Mathematics 2015-09-02 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. In this work, we consider a well investigated phase field model including contact line…

Numerical Analysis · Mathematics 2020-02-10 Henning Bonart , Christian Kahle

For uncertain multiple inputs multi-outputs (MIMO) nonlinear systems, it is nontrivial to achieve asymptotic tracking, and most existing methods normally demand certain controllability conditions that are rather restrictive or even…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Bing Zhou , Xiucai Huang , Yongduan Song

Autonomous vehicle path following performance is one of significant consideration. This paper presents discrete time design of robust PD controlled system with disturbance observer (DOB) and communication disturbance observer (CDOB)…

Robotics · Computer Science 2023-06-06 Haoan Wang , Levent Guvenc

This paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

Model-free learning-based control methods have seen great success recently. However, such methods typically suffer from poor sample complexity and limited convergence guarantees. This is in sharp contrast to classical model-based control,…

Optimization and Control · Mathematics 2020-06-16 Guannan Qu , Chenkai Yu , Steven Low , Adam Wierman