Plenary Lecture

One new approach for synthesis of nonlinear dynamic systems based on state space energy approach

Professor Milan Stork
Department of Applied Electronics and Telecommunications
and
RICE - Regional Innovation Centre for Electrical Engineering
University of West Bohemia Plzen
Czech Republic
E-mail: stork@kae.zcu.cz
 

Abstract: Most systems today have been developed under the linearity assumption and are carried out using electronic devices that are essentially linear. Thus in many cases inherently nonlinear devices have to be linearized in order to achieve a certain degree of the resulting linear system performance. Another possibility is nonlinear approach. The synthesis of nonlinear dynamic systems is of outstanding importance for numerous engineering applications. The techniques that are proposed in this lecture are based on state space energy approach. Presented study deals with energy, stability and related structural properties of a relatively broad class of finite dimensional strictly causal systems, which can be described in the state-space representation form. Dissipativity, instability, asymptotic stability as well as stability in the sense of Lyapunov is analyzed by a new approach based on an abstract state energy concept. We present also a one new method for synthesizing nonlinear dynamic circuits. One advantage of our approach is that we can directly synthesize nonlinear circuits from some ordinary differential equations. Presented circuit is able to generate the conservative chaotic attractors. This system can be used e.g. for secure communication, modulation etc. On the beginning we start with a simple motivation example of a nonlinear system described by the 3rd – order differential equation. We continue by adding linear parts of different order. Finally, the robust chaos-generating systems of arbitrary finite order with possibility of system order switching are shown. The designed systems were simulated and partly constructed in digital versions. Results of simulation and measuring are also presented.

Brief Biography of the Speaker: Milan Stork received the M.Sc. degree in electrical engineering from the Technical University of Plzen, Czech Republic at the department of Applied electronics in 1974. He specialized in electronics systems and control in research institute in Prague. Since 1977 he worked as lecturer on University of West Bohemia in Plzen. He received Ph.D. degree in automatic control systems at the Czech Technical University in Prague in 1985. In 1997, he became as Associate Professor. From 2007 he is full professor at the Department of Applied Electronics and Telecommunication, faculty of electrical engineering on University of West Bohemia in Plzen, Czech Republic. He has numerous journal and conference publications. He is member of editorial board magazine "Physician and Technology". His research interest includes analog/digital linear, nonlinear and chaotic systems, control systems, signal processing and biomedical engineering, especially cardiopulmonary exercise systems. From 2011 he also works in research centre: Regional Innovation Centre for Electrical Engineering (RICE).