6 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…
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…
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…
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…
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…
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…