Minimum Active Component Count Design of a PI<i>^λ</i>D<i>^μ</i> Controller and Its Application in a Cardiac Pacemaker System

Abstract

A generalized structure for implementing fractional-order controllers is introduced in this paper. This is achieved thanks to the consideration of the controller transfer function as a ratio of integer and non-integer impedances. The non-integer order impedance is implemented using RC networks, such as the Foster and Cauer networks. The main offered benefit, with regards to the corresponding convectional implementations, is the reduced active and, also, passive component count. To demonstrate the versatility of the proposed concept, a controller suitable for implementing a cardiac pacemaker control system is designed. The evaluation of the performance of the system is performed through circuit simulation results, using a second-generation voltage conveyor as the active element.

Keywords

• fractional-order controllers
• fractional-order integrators
• fractional-order capacitors
• curve fitting approximation
• pacemakers
• second generation voltage conveyors