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We revisit the problem explored in [1] of guaranteeing satisfaction of multiple simultaneous state constraints applied to a single-input, single-output plant consisting of a chain of n integrators subject to input limitations. For this…

Systems and Control · Electrical Eng. & Systems 2024-12-24 Peter A. Fisher , Anuradha M. Annaswamy

Safety is always one of the most critical principles for a system to be controlled. This paper investigates a safety-critical control scheme for unknown structured systems by using the control barrier function (CBF) method. Benefited from…

Systems and Control · Electrical Eng. & Systems 2022-01-17 Shengbo Wang , Bo Lyu , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang

This paper presents an adaptive control approach for uncertain nonlinear systems subject to safety constraints that allows for modularity in the selection of the parameter estimation algorithm. Such modularity is achieved by unifying the…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Max Cohen , Calin Belta

Control Barrier Functions (CBF) have been recently utilized in the design of provably safe feedback control laws for nonlinear systems. These feedback control methods typically compute the next control input by solving an online Quadratic…

Optimization and Control · Mathematics 2020-01-23 Shakiba Yaghoubi , Georgios Fainekos , Sriram Sankaranarayanan

Deploying safety-critical controllers in practice necessitates the ability to modulate uncertainties in control systems. In this context, robust control barrier functions -- in a variety of forms -- have been used to obtain safety…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Anil Alan , Tamas G. Molnar , Aaron D. Ames , Gábor Orosz

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

Control Barrier Functions (CBFs) and Control Lyapunov Functions (CLFs) are popular tools for enforcing safety and stability of a controlled system, respectively. They are commonly utilized to build constraints that can be incorporated in a…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Fernando Castañeda , Jason J. Choi , Bike Zhang , Claire J. Tomlin , Koushil Sreenath

We propose integrating an approximation of a predictive control barrier function (PCBF) in a safety filter framework, resulting in a prediction horizon independent formulation. The PCBF is defined through the value function of an optimal…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Alexandre Didier , Melanie N. Zeilinger

The ability to learn and execute optimal control policies safely is critical to realization of complex autonomy, especially where task restarts are not available and/or the systems are safety-critical. Safety requirements are often…

Systems and Control · Electrical Eng. & Systems 2021-10-06 S M Nahid Mahmud , Moad Abudia , Scott A Nivison , Zachary I. Bell , Rushikesh Kamalapurkar

In large-scale networks of uncertain dynamical systems, where communication is limited and there is a strong interaction among subsystems, learning local models and control policies offers great potential for designing high-performance…

Systems and Control · Electrical Eng. & Systems 2021-11-08 Andrea Carron , Jerome Sieber , Melanie N. Zeilinger

Control Invariant (CI) sets are instrumental in certifying the safety of dynamical systems. Control Barrier Functions (CBFs) are effective tools to compute such sets, since the zero sublevel sets of CBFs are CI sets. However, computing CBFs…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Sampath Kumar Mulagaleti , Andrea Del Prete

Designing control inputs that satisfy safety requirements is crucial in safety-critical nonlinear control, and this task becomes particularly challenging when full-state measurements are unavailable. In this work, we address the problem of…

Systems and Control · Electrical Eng. & Systems 2024-03-15 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

Time delays in feedback control loops can cause controllers to respond too late, and with excessively large corrective actions, leading to unsafe behavior (violation of state constraints) and controller infeasibility (violation of input…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Adam K. Kiss , Ersin Das , Tamas G. Molnar , Aaron D. Ames

This paper presents a safe controller synthesis of discrete-time stochastic systems using Control Barrier Functions (CBFs). The proposed condition allows the design of a safe controller synthesis that ensures system safety while avoiding…

Systems and Control · Electrical Eng. & Systems 2025-01-17 Sotaro Fushimi , Kenta Hoshino , Yuki Nishimura

Safety is one of the fundamental problems in robotics. Recently, one-step or multi-step optimal control problems for discrete-time nonlinear dynamical system were formulated to offer tracking stability using control Lyapunov functions…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Jun Zeng , Zhongyu Li , Koushil Sreenath

State and input constraints are ubiquitous in control system design. One recently developed tool to deal with these constraints is control barrier functions (CBF) which transform state constraints into conditions in the input space.…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Xiao Tan , Dimos V. Dimarogonas

Autonomous robots navigating in changing environments demand adaptive navigation strategies for safe long-term operation. While many modern control paradigms offer theoretical guarantees, they often assume known extrinsic safety…

Robotics · Computer Science 2024-04-24 Jingxing Qian , Siqi Zhou , Nicholas Jianrui Ren , Veronica Chatrath , Angela P. Schoellig

Safety is a fundamental requirement of many robotic systems. Control barrier function (CBF)-based approaches have been proposed to guarantee the safety of robotic systems. However, the effectiveness of these approaches highly relies on the…

Robotics · Computer Science 2024-03-01 Hongchao Zhang , Luyao Niu , Andrew Clark , Radha Poovendran

Control barrier functions (CBFs) have recently become a powerful method for rendering desired safe sets forward invariant in single- and multi-agent systems. In the multi-agent case, prior literature has considered scenarios where all…

Optimization and Control · Mathematics 2021-02-10 James Usevitch , Dimitra Panagou

We present a novel method for designing higher-order Control Barrier Functions (CBFs) that guarantee convergence to a safe set within a user-specified finite. Traditional Higher Order CBFs (HOCBFs) ensure asymptotic safety but lack…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Janani S K , Shishir Kolathaya
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