Abstract
In the last years the importance of methods for analysis and design of nonlinear control systems has increased. In contrast to the theory of linear systems the mathematical problems arising in nonlinear system analysis are much more complex. Therefore it is necessary to utilize more sophisticated mathematical concepts. For this purpose e.g. differential geometric tools are of great value. Apart from this a new differential algebraic approach has been developed recently, which is very suitable for both linear and nonlinear systems. Especially in the treatment of dynamic feedback problems algebraic methods show several advantages. In this paper the basic notions of differential algebra are briefly introduced. Based on this some important concepts of linear systems, like observalility, invertibility and decoupling, can be generalized for nonlinear systems. As a preparation for a follow-up paper which will show the application of the introduced algebraic approach, the input-/output-decoupling with dynamic feedback is discussed here
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
