Title
Safety-Critical Control and Planning for Obstacle Avoidance between Polytopes with Control Barrier Functions
Abstract
Obstacle avoidance between polytopes is a chal-lenging topic for optimal control and optimization-based tra-jectory planning problems. Existing work either solves this problem through mixed-integer optimization, relying on simpli-fication of system dynamics, or through model predictive control with dual variables using distance constraints, requiring long horizons for obstacle avoidance. In either case, the solution can only be applied as an offline planning algorithm. In this paper, we exploit the property that a smaller horizon is sufficient for obstacle avoidance by using discrete-time control barrier function (DCBF) constraints and we propose a novel optimization formulation with dual variables based on DCBFs to generate a collision-free dynamically-feasible trajectory. The proposed optimization formulation has lower computational complexity compared to existing work and can be used as a fast online algorithm for control and planning for general nonlinear dynamical systems. We validate our algorithm on different robot shapes using numerical simulations with a kinematic bicycle model, resulting in successful navigation through maze environments with polytopic obstacles.
Year
DOI
Venue
2022
10.1109/ICRA46639.2022.9812334
2022 International Conference on Robotics and Automation (ICRA)
DocType
ISBN
Citations 
Conference
978-1-7281-9682-4
0
PageRank 
References 
Authors
0.34
16
3
Name
Order
Citations
PageRank
Akshay Thirugnanam100.34
Jun Zeng200.34
Koushil Sreenath335833.41