16 citations · 20 across the 4 of their papers we have counts for
5 papers · 1 filter
On boundedness of solutions of three-state Moore-Greitzer compressor model with nonlinear proportional-integral controller for the surge subsystem
Anton S. Shiriaev, Leonid B. Freidovich, Alexander I. Shepeljavyi +2
The work focuses on Lagrange stability of the origin for the three-state Moore-Greitzer compressor model in closed loop with a nonlinear PI controller, tuned only to stabilize a lo…
Orbital Stabilization of Point-to-Point Maneuvers in Underactuated Mechanical Systems
Christian Fredrik Sætre, Anton S. Shiriaev
The task of inducing, via continuous static state-feedback control, an asymptotically stable heteroclinic orbit in a nonlinear control system is considered in this paper. The main…
Robust Orbital Stabilization: A Floquet Theory-based Approach
Christian Fredrik Sætre, Anton S. Shiriaev, Leonid B. Freidovich +2
The design of robust orbitally stabilizing feedback is considered. From a known orbitally stabilizing controller for a nominal, disturbance-free system, a robustifying feedback ext…
On Excessive Transverse Coordinates for Orbital Stabilization of Periodic Motions
Christian Fredrik Sætre, Anton Shiriaev
This paper explores transverse coordinates for the purpose of orbitally stabilizing periodic motions of nonlinear, control-affine dynamical systems. It is shown that the dynamics o…
Excessive Transverse Coordinates for Orbital Stabilization of (Underactuated) Mechanical Systems
Christian Fredrik Sætre, Anton Shiriaev, Stepan Pchelkin +1
Transverse linearization-based approaches have become among the most prominent methods for orbitally stabilizing feedback design in regards to (periodic) motions of underactuated m…