6 papers
On exponential stabilization of nonholonomic systems with time-varying drift
Victoria Grushkovskaya, Alexander Zuyev
A class of nonlinear control-affine systems with bounded time-varying drift is considered. It is assumed that the control vector fields together with their iterated Lie brackets sa…
Partial Stability Concept in Extremum Seeking Problems
Victoria Grushkovskaya, Alexander Zuyev
The paper deals with the extremum seeking problem for a class of cost functions depending only on a part of state variables of a control system. This problem is related to the conc…
Stabilization of non-admissible curves for a class of nonholonomic systems
Victoria Grushkovskaya, Alexander Zuyev
The problem of tracking an arbitrary curve in the state space is considered for underactuated driftless control-affine systems. This problem is formulated as the stabilization of a…
On stabilization of nonlinear systems with drift by time-varying feedback laws
Alexander Zuyev, Victoria Grushkovskaya
This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around…
Obstacle Avoidance Problem for Second Degree Nonholonomic Systems
Victoria Grushkovskaya, Alexander Zuyev
In this paper, we propose a new control design scheme for solving the obstacle avoidance problem for nonlinear driftless control-affine systems. The class of systems under consider…
A family of extremum seeking laws for a unicycle model with a moving target: theoretical and experimental studies
Victoria Grushkovskaya, Simon Michalowsky, Alexander Zuyev +2
In this paper, we propose and practically evaluate a class of gradient-free control functions ensuring the motion of a unicycle-type system towards the extremum point of a time-var…