3 papers
eess.SY2024
Synthesizing Controller for Safe Navigation using Control Density Function
Joseph Moyalan, Sriram S. K. S Narayanan, Andrew Zheng +1
We consider the problem of navigating a nonlinear dynamical system from some initial set to some target set while avoiding collision with an unsafe set. We extend the concept of de…
math.OC2023
Data-driven optimal control under safety constraints using sparse Koopman approximation
Hongzhe Yu, Joseph Moyalan, Umesh Vaidya +1
In this work we approach the dual optimal reach-safe control problem using sparse approximations of Koopman operator. Matrix approximation of Koopman operator needs to solve a leas…
cs.RO2023
Off-Road Navigation of Legged Robots Using Linear Transfer Operators
Joseph Moyalan, Andrew Zheng, Sriram S. K. S Narayanan +1
This paper presents the implementation of off-road navigation on legged robots using convex optimization through linear transfer operators. Given a traversability measure that capt…