OPTIMAL BOUNDARY LQ-CONTROL OF SELECTIVE CATALYTIC REDUCTION

• Author / Creator

  Aksikas, Ahmed

• The objective of this thesis is to design an optimal LQ-boundary controller for SCR, which is a model of coupled parabolic-hyperbolic PDEs with an ODE. The problem is a boundary control one because the manipulated variable u is the ammonia gas at the inlet (z = 0).Our purpose is to nd an optimal uopt to reduce the amount of NOx and ammonia slip as much as possible. The augmented in nite-dimensional state space representation is used to solve the optimal state-feedback control problem. By using the perturbation theorem, the thesis shows that the system generates a C0-semigroup on the augmented state space. Furthermore, the dynamical properties of both the original and the augmented sys- tems are examined. Under some technical conditions, we show that the augmented system generates an exponentially stabilizable and detectable C0-semigroups. The linear-quadratic control problem has been solved for the augmented system. A de- coupling technique is implemented to decouple and solve the corresponding Riccati equation. Monolithic catalyst reactor and Selective Catalyst Reduction (SCR) mod- els are used to test the performances of the developed controller through numerical simulations.

• Subjects / Keywords

  • Hyperbolic PDEs
  • Eigenvalues problem
  • Riccati equation
  • Linear quadratic control
  • Parabolic PDEs

• Graduation date

  Spring 2018

• Type of Item

  Thesis

• Degree

  Master of Science

• DOI

  https://doi.org/10.7939/R3ZS2KV1Z

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.