Title: Design of fast output sampling feedback controller for hyperthermia system via reduced order model

Authors: D. Jeraldin Auxillia, S. Sundaravadivelu

Addresses: Department of Electronics and Communication, St. Xavier's Catholic College of Engineering, Chunkankadai, Nagercoil, Tamil Nadu, India. ' Department of Electronics and Communication Engineering, SSN College of Engineering, Chennai, Tamil Nadu, India

Abstract: This paper describes the design, control and modelling of a fast output sampling feedback control technique for the hyperthermia system via reduced order model. A tumour layer surrounded by muscle layer is modelled in higher-order state space by solving bio heat transfer equation using finite difference method. The reduced model of the higher-order system is obtained using dominant eigenvalue retention and the Davison technique. A stabilising state feedback gain is obtained using aggregation technique from the reduced model. An output feedback gain which realises this state feedback gain is obtained using linear matrix inequality approach. The performance of the controller is evaluated by framing a desired trajectory which meets the goals of the control system. The closed loop and the open loop error norm are validated to prove the efficiency of the controller. This method does not need the states for feedback, and the designed controller placed in closed loop with the original system guarantees the closed loop stability. The closed-loop response of the system with tissue property variation is simulated. The simulated response shows good closed-loop stability.

Keywords: hyperthermia controllers; multirate output feedback; fast output sampling; reduced order model; closed-loop response; bio-heat transfer; heat transfer; feedback control; simulation; tumour layer; muscle layer; finite difference method; cancerous tumours; cancer treatment.

DOI: 10.1504/IJAAC.2011.040139

International Journal of Automation and Control, 2011 Vol.5 No.2, pp.155 - 170

Received: 11 May 2010
Accepted: 03 Feb 2011
Published online: 17 Apr 2015 *

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