### Abstract

This work focuses on the stabilization of the Kuramoto-Sivashinsky equation (KSE) with periodic boundary conditions at the zero solution in the presence of input constraints. Bounded nonlinear stabilizing controllers are synthesized on the basis of finite-dimensional Galerkin approximations of the KSE which capture the dominant dynamics of the equation for a given value of the instability parameter. The controller design accounts explicitly for the presence of input constraints and an explicit characterization of the limitations imposed by the input constraints on the allowable control actuator locations is provided. The theoretical results are successfully illustrated through computer simulations of the closed-loop system using a high-order discretization of the KSE.

Original language | English (US) |
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Pages (from-to) | 1936-1941 |

Number of pages | 6 |

Journal | Proceedings of the American Control Conference |

Volume | 3 |

State | Published - Jan 1 2001 |

Event | 2001 American Control Conference - Arlington, VA, United States Duration: Jun 25 2001 → Jun 27 2001 |

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### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering

### Cite this

*Proceedings of the American Control Conference*,

*3*, 1936-1941.

}

*Proceedings of the American Control Conference*, vol. 3, pp. 1936-1941.

**Bounded output feedback control of the Kuramoto-Sivashinsky equation with input constraints.** / Armaou, Antonios; Christofides, P. D.

Research output: Contribution to journal › Conference article

TY - JOUR

T1 - Bounded output feedback control of the Kuramoto-Sivashinsky equation with input constraints

AU - Armaou, Antonios

AU - Christofides, P. D.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - This work focuses on the stabilization of the Kuramoto-Sivashinsky equation (KSE) with periodic boundary conditions at the zero solution in the presence of input constraints. Bounded nonlinear stabilizing controllers are synthesized on the basis of finite-dimensional Galerkin approximations of the KSE which capture the dominant dynamics of the equation for a given value of the instability parameter. The controller design accounts explicitly for the presence of input constraints and an explicit characterization of the limitations imposed by the input constraints on the allowable control actuator locations is provided. The theoretical results are successfully illustrated through computer simulations of the closed-loop system using a high-order discretization of the KSE.

AB - This work focuses on the stabilization of the Kuramoto-Sivashinsky equation (KSE) with periodic boundary conditions at the zero solution in the presence of input constraints. Bounded nonlinear stabilizing controllers are synthesized on the basis of finite-dimensional Galerkin approximations of the KSE which capture the dominant dynamics of the equation for a given value of the instability parameter. The controller design accounts explicitly for the presence of input constraints and an explicit characterization of the limitations imposed by the input constraints on the allowable control actuator locations is provided. The theoretical results are successfully illustrated through computer simulations of the closed-loop system using a high-order discretization of the KSE.

UR - http://www.scopus.com/inward/record.url?scp=0034854817&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034854817&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0034854817

VL - 3

SP - 1936

EP - 1941

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

ER -