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This paper presents a safety-critical locomotion control framework for quadrupedal robots. Our goal is to enable quadrupedal robots to safely navigate in cluttered environments. To tackle this, we introduce exponential Discrete Control…

Robotics · Computer Science 2023-08-10 Qiayuan Liao , Zhongyu Li , Akshay Thirugnanam , Jun Zeng , Koushil Sreenath

Guaranteeing the safety of nonlinear systems with bounded inputs remains a key challenge in safe autonomy. Backup control barrier functions (bCBFs) provide a powerful mechanism for constructing controlled invariant sets by propagating…

Systems and Control · Electrical Eng. & Systems 2026-03-20 David E. J. van Wijk , Dohyun Lee , Ersin Das , Tamas G. Molnar , Aaron D. Ames , Joel W. Burdick

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

Many physical plants that are controlled by embedded systems have safety requirements that need to be respected at all times - any deviations from expected behavior can result in damage to the system (often to the physical plant), the…

Cryptography and Security · Computer Science 2017-05-04 Fardin Abdi , Chien-Ying Chen , Monowar Hasan , Songran Liu , Sibin Mohan , Marco Caccamo

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

This paper introduces a decentralized estimator-based safety-critical controller designed for formation control of non-holonomic mobile robots operating in communication-constrained environments. The proposed framework integrates a robust…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Vishrut Bohara , Siavash Farzan

In this paper, a state feedback control design with min/max operational limiting constraints is developed for multi-input-multi-output linear time invariant systems. Specifically, servo-tracking control problems with input and output…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Eugene Lavretsky

This paper considers the optimization landscape of linear dynamic output feedback control with $\mathcal{H}_\infty$ robustness constraints. We consider the feasible set of all the stabilizing full-order dynamical controllers that satisfy an…

Optimization and Control · Mathematics 2023-07-07 Bin Hu , Yang Zheng

This work proposes a safety-critical local reactive controller that enables the robot to navigate in unknown and cluttered environments. In particular, the trajectory tracking task is formulated as a constrained polynomial optimization…

Robotics · Computer Science 2023-10-10 Yulin Li , Xindong Tang , Kai Chen , Chunxin Zheng , Haichao Liu , Jun Ma

Complex social systems are composed of interconnected individuals whose interactions result in group behaviors. Optimal control of a real-world complex system has many applications, including road traffic management, epidemic prevention,…

Systems and Control · Computer Science 2019-05-08 Wen Dong , Bo Liu , Fan Yang

Safe control for dynamical systems is critical, yet the presence of unknown dynamics poses significant challenges. In this paper, we present a learning-based control approach for tracking control of a class of high-order systems, operating…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Zewen Yang , Xiaobing Dai , Weijie Yang , Bahar İlgen , Aleksandar Anžel , Georges Hattab

Designing control policies for legged locomotion is complex due to the under-actuated and non-continuous robot dynamics. Model-free reinforcement learning provides promising tools to tackle this challenge. However, a major bottleneck of…

Robotics · Computer Science 2022-03-08 Tsung-Yen Yang , Tingnan Zhang , Linda Luu , Sehoon Ha , Jie Tan , Wenhao Yu

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

An outstanding challenge for the widespread deployment of robotic systems like autonomous vehicles is ensuring safe interaction with humans without sacrificing performance. Existing safety methods often neglect the robot's ability to learn…

Robotics · Computer Science 2023-11-03 Haimin Hu , Zixu Zhang , Kensuke Nakamura , Andrea Bajcsy , Jaime F. Fisac

We present here a new approach of the partial control method, which is a useful control technique applied to transient chaotic dynamics affected by a bounded noise. Usually we want to avoid the escape of these chaotic transients outside a…

Chaotic Dynamics · Physics 2019-02-19 Rubén Capeáns , Juan Sabuco , Miguel A. F. Sanjuán

The desire to use reinforcement learning in safety-critical settings has inspired a recent interest in formal methods for learning algorithms. Existing formal methods for learning and optimization primarily consider the problem of…

Artificial Intelligence · Computer Science 2019-06-05 Nathan Fulton , Andre Platzer

We propose an adaptive Model Predictive Safety Certification (MPSC) scheme for learning-based control of linear systems with bounded disturbances and uncertain parameters where the true parameters are contained within an a priori known set…

Systems and Control · Electrical Eng. & Systems 2021-09-30 Alexandre Didier , Kim P. Wabersich , Melanie N. Zeilinger

In this paper, a fixed-time safe control problem is investigated for an uncertain high-order nonlinear pure-feedback system with state constraints. A new nonlinear transformation function is firstly proposed to handle both the constrained…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Chaoqun Guo , Jiangping Hu , Jiasheng Hao , Sergej Celikovsky , Xiaoming Hu

This work is concerned with developing a data-driven approach for learning control barrier certificates (CBCs) and associated safety controllers for discrete-time nonlinear polynomial systems with unknown mathematical models, guaranteeing…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Behrad Samari , Omid Akbarzadeh , Mahdieh Zaker , Abolfazl Lavaei

This paper presents a constraint-lifting control framework for designing stabilizing controllers that guarantee the forward invariance of a prescribed safe set. State-of-the-art safety-enforcing methods, such as control barrier functions…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel