Hankel-norm approximation of FIR filters: a descriptor-systems based approach

We propose a new method for approximating a matrix finite impulse response (FIR) filter by an infinite impulse response (IIR) filter of lower McMillan degree. This is based on a technique for approximating discrete-time descriptor systems and requires only standard linear algebraic routines, while avoiding altogether the solution of two matrix Lyapunov equations which is computationally expensive. Both the optimal and the suboptimal cases are addressed using a unified treatment. A detailed solution is developed in state-space or polynomial form, using only the Markov parameters of the FIR filter which is approximated. The method is finally applied to the design of scalar IIR filters with specified magnitude frequency-response tolerances and approximately linear-phase characteristics. A priori bounds on the magnitude and phase errors are obtained which may be used to select the reduced-order IIR filter order which satisfies the specified design tolerances. The effectiveness of the method is illustrated with a numerical example. Additional applications of the method are also briefly discussed

An educational approach to design and evaluate descriptor systems

The validity of the fundamental principles and methods of control and system theory with an abundance of applications not only remains unaffected but on the contrary, it is enriched with new tools and perspectives. Thus, in this paper, our main goal is to fill in the gap in teaching young mathematicians difficult and fundamental, mathematical concepts of control and system theory (descriptor systems). It is noted that our personal experience in various educational and research aspects is the starting point of motivation in the subsequent analysis. The proposed educational approach aims to address and overcome the difficulties that students are facing during the learning process of basic mathematical ideas using computational tools (Scilab). It is valid that Scilab seems to be a reasonable starting point to motivate students to become familiar with basic descriptor analysis concepts

The embedding of system's and control's terminology and conceptualization to model-based Tele-medicine-Assisted Home Support (TAHoS)

In this paper, we aim at two objectives. Firstly, to construct the model of a powerful telemedicine centre, that can be initiated by private and national health sector synergies. Secondly, to present our results from the systems and control science point of view, since several constructive methods and powerful tools of these two mature fields of engineering and mathematics can be applied. The whole project is based primarily on satellite facilities, see Galileo/ESA initiatives. The initial substantial costs and funding of such an investment can be properly covered in a mixed fashion by the country’s National Health System and the private entities that will be providing tele-medicine services to larger target groups of end-users. Thus, in this research work, an intelligent engineering-model structure is described that can be easily adapted to serve multiple and diverse needs. This model demonstrates the promise of IC technologies in the delivery of patient-centred healthcare. Moreover, it provides a stepping-stone for distant continuing education between academic health sciences’ centres, i.e. the Nursing Departments of Universities, the Medical Centres, the Hospitals, the Health Care Laboratories etc. Thus, several types of teleconference equipment and hardware can be employed to provide teaching assistantship for different kinds of e-health services