The project goal is given by research in the area of nonlinear control systems, continuous-, discrete-time a time-delay, employing modern algebraic methods. In particular, the attention is paid to the polynomial approach and the transfer function formalism for nonlinear systems. Since such a formalism has many properties we expect of transfer functions the aim is to carry over the ideas and methods known from the linear control theory. Hence, such a research can possibly bring new results and methods of analysis and synthesis of nonlinear control systems while maintaining the formal similarity with the linear control theory. This could have a fundamental effect to the later practical application of the theoretical results, for in practice the transfer function formalism is well known, understandable and frequently used.
Application of algebraic methods to nonlinear control systems
1. January, 2014 to 31. December, 2017
nonlinear systems, control theory, algebraic approach, polynomial approach, transfer functions