108 citations · 262 across the 36 of their papers we have counts for
36 papers
Analytical and Reduced-Order Modeling of a Timoshenko Beam with Point Actuation
Alexander Zuyev, Julia Kalosha
We present frequency-domain models of a controlled mechanical system consisting of a flexible beam and a rigid body. The transfer function for the beam, governed by the Timoshenko…
A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction
Alexander Zuyev, Victoria Grushkovska
In this paper, we develop the extremum-seeking approach to generate admissible trajectories in a neighborhood of a given reference curve in the state space. The cost function of th…
Frequency-Domain Analysis of the Euler-Bernoulli and Timoshenko Beams with Attached Masses
Alexander Zuyev, Julia Kalosha
This work focuses on the frequency-domain modeling of a control system with a flexible beam and a rigid body. A simply supported beam is equipped with a spring-loaded control actua…
On classical solutions in the stabilization problem for nonholonomic control systems with time-varying feedback laws
Alexander Zuyev, Victoria Grushkovskaya
We consider the stabilization problem for driftless control-affine systems under the bracket-generating condition. In our previous works, a class of time-varying feedback laws has…
Polynomial Convergence of an Observer for an Infinite-Dimensional Oscillating System
Alexander Zuyev, Julia Kalosha
This paper is devoted to analyzing the observer convergence rate for a class of linear control systems in a Hilbert space. To characterize the polynomial stability of the observer…
On the Controllability of an Orbiting Satellite Model with Electromagnetic-only Actuation
Yevgeniia Yevgenieva, Alexander Zuyev, Julia Kalosha
This paper presents sufficient conditions for small-time local controllability of a control-affine system that describes the rotational motion of a satellite in a circular orbit. T…
Dynamic Modelling of a Controlled Orthotropic Plate: Analytic and Data-Driven Approaches in the Frequency Domain
Alexander Zuyev, Francesco Pellicano, Antonio Zippo +1
This paper is devoted to the mathematical modelling of a vibrating orthotropic plate equipped with a laminated piezosensor, under the influence of a lumped force actuation. We empl…
Stabilization of a Nonholonomic Car Model with Off-Hooked Trailers
Alexander Zuyev, Victoria Grushkovskaya
We consider a kinematic model of a controlled car with two trailers by assuming that each trailer is attached at some distance from the preceding axle ("off-hooked trailers"). For…
Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems
Alexander Zuyev, Lihong Feng, Peter Benner
This paper aims at characterizing the approximability of bounded sets in the range of nonlinear operators in Banach spaces by finite-dimensional linear varieties. In particular, th…
Iterative approximations of periodic trajectories for nonlinear systems with discontinuous inputs
Alexander Zuyev, Peter Benner
Nonlinear control-affine systems described by ordinary differential equations with bounded measurable input functions are considered. The solvability of general boundary value prob…
Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment
Julia Kalosha, Yevgeniia Yevgenieva, Alexander Zuyev
We consider a mathematical model of an orbiting satellite, comprising a rigid carrier body and a flexible boom, operating under the influence of gravity gradient torque. This model…
Partial stabilization of nonlinear systems along a given trajectory
Victoria Grushkovskaya, Iryna Vasylieva, Alexander Zuyev
In this paper, the problem of partial stabilization of nonlinear systems along a given trajectory is considered. This problem is treated within the framework of stability of a fami…
Periodic optimal control of a plug flow reactor model with an isoperimetric constraint
Yevgeniia Yevgenieva, Alexander Zuyev, Peter Benner +1
We study a class of nonlinear hyperbolic partial differential equations with boundary control. This class describes chemical reactions of the type `` product'' carried out i…
Motion planning and stabilization of nonholonomic systems using gradient flow approximations
Victoria Grushkovskaya, Alexander Zuyev
Nonlinear control-affine systems with time-varying vector fields are considered in the paper. We propose a unified control design scheme with oscillating inputs for solving the tra…
Approximating a flexible beam model in the Loewner framework
A. Zuyev, I. V. Gosea
The paper develops the Loewner approach for data-based modeling of a linear distributed-parameter system. This approach is applied to a controlled flexible beam model coupled with…
A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures
Alexander Zuyev, Julia Kalosha
Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer…
Observer Design for a Flexible Structure with Distributed and Point Sensors
Alexander Zuyev, Julia Kalosha
The paper is devoted to the observability study of a dynamic system, which describes the vibrations of an elastic beam with an attached rigid body and distributed control actions.…
Asymptotic Stabilization of a Flexible Beam with an Attached Mass
Julia Kalosha, Alexander Zuyev
A mathematical model of a simply supported Euler-Bernoulli beam with attached spring-mass system is considered. The model is controlled by distributed piezo actuators and lumped fo…
Stabilization of Crystallization Models Governed by Hyperbolic Systems
Alexander Zuyev, Peter Benner
This paper deals with mathematical models of continuous crystallization described by hyperbolic systems of partial differential equations coupled with ordinary and integro-differen…
Control design for partial stabilization of nonlinear mechanical systems with random disturbances
Alexander Zuyev, Iryna Vasylieva
The problem of partial stabilization for nonlinear control systems described by the Ito stochastic differential equations is considered. For these systems, we propose a constructiv…
On the Eigenvalue Distribution for a Beam with Attached Masses
Julia Kalosha, Alexander Zuyev, Peter Benner
We study a mathematical model of a hinged flexible beam with piezoelectric actuators and electromagnetic shaker in this paper. The shaker is modelled as a mass and spring system at…
Extremum Seeking Approach for Nonholonomic Systems with Multiple Time Scale Dynamics
Victoria Grushkovskaya, Alexander Zuyev
In this paper, a class of nonlinear driftless control-affine systems satisfying the bracket generating condition is considered. A gradient-free optimization algorithm is developed…
Partial stabilization of nonholonomic systems with application to multi-agent coordination
Victoria Grushkovskaya, Alexander Zuyev
This paper focuses on the problem of constructing time-varying feedback laws that asymptotically stabilize a given part of the state variables for nonlinear control-affine systems.…
Analysis of switching strategies for the optimization of periodic chemical reactions with controlled flow-rate
Peter Benner, Andreas Seidel-Morgenstern, Alexander Zuyev
An isoperimetric optimal control problem with non-convex cost is considered for a class of nonlinear control systems with periodic boundary conditions. This problem arises in chemi…