From the 1 of 7 linked papers with an AI index.
7 papers
Global Exponential Stabilization of the Kinematic Bicycle Model of a Car in Polar Coordinates
Velimir Todorovski, Kwang Hak Kim, Alessandro Astolfi +1
The paper presents a smooth feedback control design that globally exponentially stabilizes the kinematic bicycle model of a car by converting it to polar coordinates and applying a…
Nonholonomic Robot Parking by Feedback -- Part I: Modular Strict CLF Designs
Velimir Todorovski, Kwang Hak Kim, Alessandro Astolfi +1
It has been known in the robotics literature since about 1995 that, in polar coordinates, the nonholonomic unicycle is asymptotically stabilizable by smooth feedback, even globally…
Nonholonomic Robot Parking by Feedback -- Part II: Nonmodular, Inverse Optimal, Adaptive, Prescribed/Fixed-Time and Safe Designs
Kwang Hak Kim, Velimir Todorovski, Miroslav KrstiÄ
For the unicycle system, we provide constructive methods for the design of feedback laws that have one or more of the following properties: being nonmodular and globally exponentia…
Integrator Forwading Design for Unicycles with Constant and Actuated Velocity in Polar Coordinates
Miroslav Krstic, Velimir Todorovski, Kwang Hak Kim +1
In a companion paper, we present a modular framework for unicycle stabilization in polar coordinates that provides smooth steering laws through backstepping. Surprisingly, the same…
Modular Design of Strict Control Lyapunov Functions for Global Stabilization of the Unicycle in Polar Coordinates
Velimir Todorovski, Kwang Hak Kim, Miroslav Krstic
Since the mid-1990s, it has been known that, unlike in Cartesian form where Brockett's condition rules out static feedback stabilization, the unicycle is globally asymptotically st…
Half-Global Deadbeat Parking for Dubins Vehicle
Miroslav KrstiÄ, Kwang Hak Kim, Velimir Todorovski
This paper presents a framework for stabilizing the Dubins vehicle model to zero in finite time (deadbeat parking) by interpreting distance as a time-like variable. We develop cont…