REDUCED ORDER MODELLING AND ITS APPLICATION IN HYPERTHERMIA CONTROL

Abstract

The work presented in this dissertation deals with various reduced order modeling techniques and application of order reduction in hyperthermia control. The model order reduction techniques used ii1 hyperthermia i.e. balanced realization and modal decomposition have been discussed in detail and compared. For balanced realization and modal decomposition, its mathematical development, its application in hyperthermia to deal with complex thermal models and its algorithms are discussed in detail along with the numerical examples. The step-response of both the original and reduced low order system is analyzed for both the system in Simulink. The comparison between the balanced realization and modal decomposition technique is discussed in detail with the help of numerical examples, results and discussion. Finally the work ends with the design of an adaptive controller which is designed after reducing the order of the system and selecting the appropriate reduced order model for controller design. The controller is designed keeping in mind the factors such as variable blood flow that cool the tissue, blood perfusion, patient movement and pain. The simulation and design of adaptive controller. for original high-order system is done. The step-response of both the original and reduced low order system is analyzed using the same controller for both the systems in Simulink