# SAMPLED-DATA DISTRIBUTED H∞ CONTROL OF TRANSPORT REACTION SYSTEMS∗

@inproceedings{SIAMJ2013SAMPLEDDATADH, title={SAMPLED-DATA DISTRIBUTED H∞ CONTROL OF TRANSPORT REACTION SYSTEMS∗}, author={C SIAMJ.}, year={2013} }

We develop, for the first time, sampled-data distributed H∞ control of a class of parabolic systems. These systems are governed by one-dimensional semilinear transport reaction equations with additive disturbances. A network of stationary sensing devices provides spatially averaged state measurements over the N sampling spatial intervals. We suggest a sampled-data controller design, where the sampling intervals in time and in space are bounded. Our sampleddata static output feedback enters the…

## Figures and Tables from this paper

## 72 Citations

Networked H∞ filtering of semilinear diffusion PDEs

- Mathematics53rd IEEE Conference on Decision and Control
- 2014

A network-based H∞ filter for semilinear diffusion partial differential equations over a rectangular domain under distributed in space measurements to enlarge the sampling time intervals, while preserving a satisfactory error system performance in the presence of variable network-induced delays.

Delayed boundary control of a heat equation under discrete-time point measurements

- Mathematics2017 IEEE 56th Annual Conference on Decision and Control (CDC)
- 2017

A boundary controller is derived that guarantees the exponential stability of the closed-loop system with an arbitrary decay rate smaller than that of the observer by applying the backstepping transformation to the future state estimation.

Sampled-data observers for semilinear damped wave equations under spatially sampled state measurements

- MathematicsAutom.
- 2019

Distributed sampled-data control of Kuramoto-Sivashinsky equation under the point measurements

- Mathematics2018 European Control Conference (ECC)
- 2018

Sampled-data boundary feedback control of 1-D linear transport PDEs with non-local terms

- MathematicsSyst. Control. Lett.
- 2017

Sampled-Data observers for semilinear damped wave equations under point measurements

- Mathematics2019 18th European Control Conference (ECC)
- 2019

For the first time, a sampled-data observer is constructed for a hyperbolic system governed by 1D semilinear wave equation with viscous damping by using the time-delay approach to sampled- data control and an appropriate Lyapunov-Krasovskii functional.

H∞ boundary control for a class of nonlinear stochastic parabolic distributed parameter systems

- MathematicsInternational Journal of Robust and Nonlinear Control
- 2019

This paper addresses the problem of H∞ boundary control for a class of nonlinear stochastic distributed parameter systems expressed by parabolic stochastic partial differential equations (SPDEs) of…

## References

SHOWING 1-10 OF 39 REFERENCES

Sampled-data distributed H∞ control of a class of parabolic systems

- Mathematics2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
- 2012

We develop, for the first time, sampled-data H∞ control for a class of parabolic systems. These systems are governed by semilinear transport reaction equations with additive disturbances and with…

Robust sampled-data control of a class of semilinear parabolic systems

- MathematicsAutom.
- 2012

Sampled-data H ∞ control and filtering : Nonuniform uncertain sampling

- Mathematics
- 2007

Sampled-data H∞ control of linear systems is considered. The measured output is sampled and the only restriction on the sampling is that the distance between sequel sampling times does not exceed a…

Robust sampled-data stabilization of linear systems: an input delay approach

- Mathematics, Computer ScienceAutom.
- 2004

Dynamic practical stabilization of sampled-data linear distributed parameter systems

- MathematicsProceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
- 2009

In this paper, dynamic practical stability properties of infinite-dimensional sampled-data systems are discussed. A family of finite-dimensional discrete-time controllers are first designed to…

Stability of infinite-dimensional sampled-data systems

- Mathematics
- 2003

Suppose that a static-state feedback stabilizes a continuous-time linear infinite-dimensional control system. We consider the following question: if we construct a sampled-data controller by applying…

A refined input delay approach to sampled-data control

- Mathematics, Computer ScienceAutom.
- 2010

Spillover Stabilization in Finite-Dimensional Control and Observer Design for Dissipative Evolution Equations

- MathematicsSIAM J. Control. Optim.
- 2003

It is shown that the control and observer designs can be combined to yield a globally stabilizing compensator and are numerically demonstrated on the problem of controlling stall in a model of axial compressors.

A Sampled-Data Singularly Perturbed Boundary Control for a Heat Conduction System With Noncollocated Observation

- MathematicsIEEE Transactions on Automatic Control
- 2009

This note presents a sampled-data strategy for a boundary control problem of a heat conduction system modeled by a parabolic partial differential equation (PDE). Using the zero-order-hold, the…

Exponential stability of linear distributed parameter systems with time-varying delays

- Mathematics, EngineeringAutom.
- 2009