From Continuous Modelling to Discrete Constrained Optimal Control of Distributed Parameter Systems

• Author / Creator

  Ozorio Cassol,Guilherme

• Distributed parameter systems (DPS) are systems that have their evolution through time and in space. These systems are present in every type of industrial process, from chemical to electrical applications. Thus, proper modeling and control of DPS are indispensable for the optimization and control of such processes.
  Due to their spatiotemporal dynamics, these systems are generally represented by partial integro-differential equations (PIDEs), which brings issues with the control and monitoring of such applications. This thesis studies the modeling and control of such systems, specifically the ones modelled by first and second-order hyperbolic PDEs, not relying on the spatial approximation generally applied to deal with the PIDEs. First, an alternative model for transport-reaction processes is analyzed, taking into account the possible inertia present in the transport. Second, the regulator design of a heat exchanger system in the continuous-time setting is developed, ensuring disturbance rejection and proper output tracking.
  Then, the leap from the continuous to the discrete-time is taken by studying the regulator design for the sediment-filled water canal dynamics.
  Lastly, the optimal constrained controller is developed in the last chapters, to take into account constraints applied to the system. First, an autothermal reactor operating in an unstable condition is considered. The simulations show the controller performance and proper convergence to the desired steady-state. In the subsequent chapter, the constrained control problem is solved for the alternative model of transport-reaction processes. The difference in the system response of the commonly used model and the proposed model is noticeable. The discrete representation used for the systems in the discrete-time setting does not consider the early spatial approximation generally used when dealing with DPS.

• Subjects / Keywords

  • Process Control
  • Distributed Parameter Systems
  • Optimal Control

• Graduation date

  Spring 2022

• Type of Item

  Thesis

• Degree

  Doctor of Philosophy

• DOI

  https://doi.org/10.7939/r3-xk8t-fp76

• 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.