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We introduce High-Relative Degree Stochastic Control Lyapunov functions and Barrier Functions as a means to ensure asymptotic stability of the system and incorporate state dependent high relative degree safety constraints on a non-linear…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Meenakshi Sarkar , Debasish Ghose , Evangelos A. Theodorou

Navigating toward a known target in a noisy environment is a fundamental problem shared across biological, physical, and engineered systems. Although optimal strategies are often framed in terms of continuous, fine-grained feedback, we show…

Statistical Mechanics · Physics 2025-12-24 Abhijit Sinha , Sandeep Jangid , Tridib Sadhu , Shankar Ghosh

This paper presents a novel methodology to enforce motion safety guarantees even in the event of a sudden loss of control capabilities by any agent within a multi-agent system. This passive safety methodology permits the replacement of…

Optimization and Control · Mathematics 2023-05-29 Tommaso Guffanti , Simone D'Amico

Many real-world systems often involve physical components or operating environments with highly nonlinear and uncertain dynamics. A number of different control algorithms can be used to design optimal controllers for such systems, assuming…

Systems and Control · Electrical Eng. & Systems 2023-04-06 Navid Hashemi , Justin Ruths , Jyotirmoy V. Deshmukh

We develop optimal control strategies for autonomous vehicles (AVs) that are required to meet complex specifications imposed as rules of the road (ROTR) and locally specific cultural expectations of reasonable driving behavior. We formulate…

This paper proposes a novel learning-based control policy with strong generalizability to new environments that enables a mobile robot to navigate autonomously through spaces filled with both static obstacles and dense crowds of…

Robotics · Computer Science 2023-09-06 Zhanteng Xie , Philip Dames

In this article, we address the control problem of unicycle path following, using a rigidly attached target point. The initial path following problem has been transformed into a reference trajectory following problem, using saturated…

Optimization and Control · Mathematics 2013-03-22 S. Laghrouche , Y. Chitour , M. Harmouche , F. S. Ahmed

A new framework is developed for control of constrained nonlinear systems with structured parametric uncertainties. Forward invariance of a safe set is achieved through online parameter adaptation and data-driven model estimation. The new…

Systems and Control · Electrical Eng. & Systems 2020-06-01 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

Trajectory planning and control have historically been separated into two modules in automated driving stacks. Trajectory planning focuses on higher-level tasks like avoiding obstacles and staying on the road surface, whereas the controller…

Robotics · Computer Science 2022-09-21 Rowan Dempster , Mohammad Al-Sharman , Derek Rayside , William Melek

Autonomous vehicles necessitate a delicate balance between safety, efficiency, and user preferences in trajectory planning. Existing traditional or learning-based methods face challenges in adequately addressing all these aspects. In…

Robotics · Computer Science 2024-05-24 Yuejiao Xu , Ruolin Wang , Chengpeng Xu , Jianmin Ji

We address the path-wise control of systems described by a set of nonlinear stochastic differential equations. For this class of systems, we introduce a notion of stochastic relative degree and a change of coordinates which transforms the…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Alberto Mellone , Giordano Scarciotti

This paper targets control problems that exhibit specific safety and performance requirements. In particular, the aim is to ensure that an agent, operating under uncertainty, will at runtime strictly adhere to such requirements. Previous…

Logic in Computer Science · Computer Science 2020-10-09 Stefan Pranger , Bettina Könighofer , Martin Tappler , Martin Deixelberger , Nils Jansen , Roderick Bloem

Evaluating and updating the obstacle avoidance velocity for an autonomous robot in real-time ensures robustness against noise and disturbances. A passive damping controller can obtain the desired motion with a torque-controlled robot, which…

Robotics · Computer Science 2024-07-16 Lukas Huber , Thibaud Trinca , Jean-Jacques Slotine , Aude Billard

In this work we propose tailored model order reduction for varying boundary optimal control problems governed by parametric partial differential equations. With varying boundary control, we mean that a specific parameter changes where the…

Numerical Analysis · Mathematics 2024-01-22 Maria Strazzullo , Fabio Vicini

The operation of an autonomous underwater vehicle (AUV) faces challenges in following predetermined waypoints due to coupled motions under environmental disturbances. To address this, a 3D path following guidance and control system is…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Isah A. Jimoh , Hong Yue

Navigating complex, cluttered, and unstructured environments that are a priori unknown presents significant challenges for autonomous ground vehicles, particularly when operating with a limited field of view(FOV) resulting in frequent…

Control of systems operating in unexplored environments is challenging due to lack of complete model knowledge. Additionally, under measurement noises, data collected from onboard sensors are of limited accuracy. This paper considers…

Systems and Control · Computer Science 2018-11-26 Dantong Ge , Melkior Ornik , Ufuk Topcu

Being able to anticipate the motion of surrounding agents is essential for the safe operation of autonomous driving systems in dynamic situations. While various methods have been proposed for trajectory prediction, the current evaluation…

Robotics · Computer Science 2025-12-16 Longchao Da , David Isele , Hua Wei , Manish Saroya

As autonomous robots increasingly become part of daily life, they will often encounter dynamic environments while only having limited information about their surroundings. Unfortunately, due to the possible presence of malicious dynamic…

We rely on Nagumo's invariance theorem to develop a new approach for navigation in unknown environments of arbitrary dimension. The idea consists in projecting the nominal velocities (that would drive the robot to the target in the absence…

Optimization and Control · Mathematics 2020-07-15 Soulaimane Berkane