Output feedback control of parabolic PDE systems with input constraints

Nael H. El-Farra, Antonios Armaou, Panagiotis D. Christofides

Research output: Contribution to journalConference article

2 Citations (Scopus)

Abstract

This paper proposes a methodology for output feedback control of parabolic PDE systems with input constraints. Initially, Galerkin's method is used for the derivation of a finite-dimensional ODE system that captures the dominant dynamics of the PDE system. This ODE system is then used as the basis for the synthesis, via Lyapunov techniques, of stabilizing bounded output feedback control laws that use only measurements of the outputs and provide, at the same time, an explicit characterization of the set of admissible control actuator locations that can be used to guarantee closed-loop stability for a given initial condition. Precise conditions that guarantee stability of the constrained closed-loop parabolic PDE system are provided. The proposed output feedback design is shown to recover, asymptotically, the set of stabilizing actuator locations obtained under state feedback, as the separation between the fast and slow eigenvalues of the spatial differential operator increases.

Original languageEnglish (US)
Pages (from-to)541-546
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
StatePublished - Dec 1 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 7 2001

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Parabolic PDEs
Input Constraints
Output Feedback Control
Feedback control
Actuators
Galerkin methods
State feedback
Closed-loop
Actuator
Feedback
Output Feedback
Galerkin Method
State Feedback
Lyapunov
Differential operator
Initial conditions
Synthesis
Eigenvalue
Methodology
Output

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

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Output feedback control of parabolic PDE systems with input constraints. / El-Farra, Nael H.; Armaou, Antonios; Christofides, Panagiotis D.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 1, 01.12.2001, p. 541-546.

Research output: Contribution to journalConference article

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