In this simulation, 66 of the 100 needles crossed a line (you can count ’em). Using this number, we get a value of pi at 3.0303—which is not 3.14—but it's not terrible for just 100 needles. With ...
Abstract: Designing safety-critical controllers for acceleration-controlled unicycle robots is challenging, as control inputs may not appear in the constraints of control Lyapunov functions (CLFs) and ...
Abstract: This article presents an explicit reference governor (ERG) design method, which incorporates a control barrier function (CBF) and considers both nonconvex and convex constraints in different ...