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All the existing source-seeking algorithms for unicycle models in GPS-denied settings guarantee at best an exponential rate of convergence over an infinite interval. Using the recently introduced time-varying feedback tools for…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Velimir Todorovski , Miroslav Krstic

We consider a three-dimensional problem of steering a nonholonomic vehicle to seek an unknown source of a spatially distributed signal field without any position measurement. In the literature, there exists an extremum seeking-based…

Robotics · Computer Science 2016-11-09 Jinbiao Lin , Shiji Song , Keyou You , Cheng Wu

This Technical Note presents a simple control approach for global trajectory tracking and formation control of underactuated surface vessels equipped with only two propellers. The control approach exploits the inherent cascaded structure of…

Systems and Control · Electrical Eng. & Systems 2025-03-31 Bo Wang , Antonio Loria

In this paper, we present a global state feedback tracking controller for underactuated surface marine vessels. This controller is based on saturated control inputs and, under an assumption on the reference trajectory, the closed-loop…

Optimization and Control · Mathematics 2013-03-22 Salah Laghrouche , Mohamed Harmouche , Yacine Chitour

This paper studies a stochastic extremum seeking method to steer a nonholonomic vehicle to the unknown source of a static spatially distributed filed in a plane. The key challenge lies in the lack of vehicle's position information and the…

Optimization and Control · Mathematics 2016-11-16 Jinbiao Lin , Shiji Song , Keyou You , Miroslav Krstic

We present a novel extremum seeking method for affine connection mechanical control systems. The proposed control law involves periodic perturbation signals with sufficiently large amplitudes and frequencies. A suitable averaging analysis…

Optimization and Control · Mathematics 2022-11-30 Raik Suttner

This paper proposes a method for formation path following control of a fleet of underactuated autonomous underwater vehicles. The proposed method combines several hierarchic tasks in a null space-based behavioral algorithm to safely guide…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Josef Matouš , Kristin Y. Pettersen , Damiano Varagnolo , Claudio Paliotta

In this paper, we investigate the problem of source seeking with a unicycle in the presence of local extrema. Our study is motivated by the fact that most of the existing source seeking methods follow the gradient direction of the signal…

Optimization and Control · Mathematics 2023-03-29 Raik Suttner , Miroslav Krstic

The energy shaping method, Controlled Lagrangian, is a well-known approach to stabilize the under-actuated Euler Lagrange (EL) systems. In this approach, to construct a control rule, some nonlinear, nonhomogeneous partial differential…

Systems and Control · Electrical Eng. & Systems 2020-07-06 Huseyin Alpaslan Yildiz , Leyla Goren-Sumer

Underactuated systems like sea vessels have degrees of motion that are insufficiently matched by a set of independent actuation forces. In addition, the underlying trajectory-tracking control problems grow in complexity in order to decide…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Mohammed Abouheaf , Wail Gueaieb , Md. Suruz Miah , Davide Spinello

In this paper we validate, including experimentally, the effectiveness of a recent theoretical developments made by our group on control-affine Extremum Seeking Control (ESC) systems. In particular, our validation is concerned with the…

Robotics · Computer Science 2024-03-12 Shivam Bajpai , Ahmed A. Elgohary , Sameh A. Eisa

This paper focuses on the use of unknown input observers for detection and isolation of actuator and effector faults with control reconfiguration in overactuated systems. The control allocation actively uses input redundancy in order to…

Optimization and Control · Mathematics 2013-06-25 Andrea Cristofaro , Tor Arne Johansen

We present a method for providing statistical guarantees on runtime safety and goal reachability for integrated planning and control of a class of systems with unknown nonlinear stochastic underactuated dynamics. Specifically, given a…

Robotics · Computer Science 2022-12-15 Craig Knuth , Glen Chou , Jamie Reese , Joe Moore

This paper proposes a formation control method for two underactuated unmanned surface vessels (USVs) to follow curved paths in the presence of ocean currents. By uniting a line-of-sight (LOS) guidance law and the null-spacebased behavioral…

Systems and Control · Electrical Eng. & Systems 2020-11-11 Å. Eek , K. Y. Pettersen , E. -L. M. Ruud , T. R. Krogstad

This paper addresses the problem of distributed coordination control of spacecraft formation. It is assumed that the agents measure relative positions of each other with a non-zero, unknown constant sensor bias. The translational dynamics…

Optimization and Control · Mathematics 2018-11-27 Himani Sinhmar , Sukumar Srikant

This paper proposes a novel method for formation path following of multiple underactuated autonomous underwater vehicles. The method combines line-of-sight guidance with null-space-based behavioral control, allowing the vehicles to follow…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Josef Matouš , Kristin Y. Pettersen , Claudio Paliotta

This published paper investigates the distributed tracking control problem for a class of Euler-Lagrange multi-agent systems when the agents can only measure the positions. In this case, the lack of the separation principle and the strong…

Systems and Control · Electrical Eng. & Systems 2019-07-02 Qingkai Yang , Hao Fang , Jie Chen , Zhong-Ping Jiang , Ming Cao

We develop a framework for localized source detection in dynamical systems governed by nonlinear partial differential equations based on first and second-order sensitivity analysis. Building on the standard adjoint formulation, which…

Fluid Dynamics · Physics 2026-05-18 Qi Wang , Zejian You

In this work, we investigate the state stabilization and trajectory tracking problems of underactuated surface ships with full state model of having non-diagonal inertia and damping matrices. By combining the novel state transformations,…

Optimization and Control · Mathematics 2011-11-07 Ma Bao-Li

Extremum seeking control (ESC) are optimization algorithms in continuous time, with model-based ESCs using true derivative information of the cost function and model-free ESCs utilizing perturbation-based estimates instead. Stability…

Optimization and Control · Mathematics 2025-07-22 Patrick McNamee , Zahra Nili Ahmadabadi , Mirslav Krstić
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