Linear, time-varying approximations to nonlinear dynamical systems: with applications in control and optimization

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introducesa new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based ondifferential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple andcan be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method. Offers the reader a method for designing control for nonlinear systems which is less restrictive than others of the kinds of nonlinearity it can handle Although the methodsoutlined are novel, they can be simply implemented using pre-existing and widely known classical control ideas INDICE: Introduction.- Basic Approximation Theory.- Linear, Time-varying Systems.- General Spectral Theory of Nonlinear Systems.- Spectral Assignment inLinear, Time-varying Systems.- Optimal Control of Nonlinear Systems.- Application to Nonlinear Sliding-mode Control.- Connection with Fixed-point Theory and Existence of Periodic Solutions.- Generalisations to Partial Differential Equations.- Summary, Conclusions and Prospects for Development.- Appendices.

• ISBN: 978-1-84996-100-4
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 298
• Fecha Publicación: 04/02/2010
• Nº Volúmenes: 1
• Idioma: Inglés