Compensating PDE actuator and sensor dynamics using Sylvester equation

@article{Natarajan2021CompensatingPA,
  title={Compensating PDE actuator and sensor dynamics using Sylvester equation},
  author={Vivek Natarajan},
  journal={ArXiv},
  year={2021},
  volume={abs/2010.00615}
}
  • V. Natarajan
  • Published 1 October 2020
  • Mathematics, Computer Science
  • ArXiv
3 Citations

Figures from this paper

Time-Varying Internal Models and Regulation of Unknown Harmonic Signals for Regular Linear Systems
. We introduce general results on well-posedness and output regulation of regular linear systems with nonautonomous controllers. We present a generalization of the internal model principle for

References

SHOWING 1-10 OF 35 REFERENCES
Stabilization of PDE-ODE cascade systems using Sylvester equations
  • V. Natarajan
  • Mathematics, Computer Science
    2019 IEEE 58th Conference on Decision and Control (CDC)
  • 2019
TLDR
This work considers the stabilization problem for PDEODE cascade interconnections in which the input is applied to the PDE system, whose output drives the ODE system; and solves the problem using a state transformation obtained by solving a Sylvester equation with unbounded operators.
Stabilization for a coupled PDE-ODE control system
Output feedback control of general linear heterodirectional hyperbolic PDE-ODE systems with spatially-varying coefficients
TLDR
A two-step backstepping approach is developed, which yields the conventional kernel equations and additional decoupling equations of simple form for the output feedback control of general linear heterodirectional hyperbolic PDE-ODE systems with spatially varying coefficients.
Compensation of Wave Actuator Dynamics for Nonlinear Systems
TLDR
This is the first global stabilization result for wave equations that incorporate non-collocated destabilizing nonlinearities of superlinear growth in wave PDEs, and presents two numerical examples.
Compensation of Infinite-Dimensional Actuator and Sensor Dynamics
The PDE backstepping approach is a potentially powerful tool for advancing design techniques for systems with input and output delays. Three key ideas are presented in this article. The first idea is
Backstepping boundary control for first order hyperbolic PDEs and application to systems with actuator and sensor delays
Compensating actuator and sensor dynamics governed by diffusion PDEs
The State Feedback Regulator Problem for Regular Linear Systems
TLDR
Under suitable assumptions, the state feedback regulator problem for infinite-dimensional linear systems is shown to be solvable if and only if a pair of algebraic equations, called the regulator equations, is solvable.
...
...