74 research outputs found
Control of a novel chaotic fractional order system using a state feedback technique
We consider a new fractional order chaotic system displaying an interesting behavior. A necessary condition for the system to remain chaotic is derived. It is found that chaos exists in the system with order less than three. Using the Routh-Hurwitz and the Matignon stability criteria, we analyze the novel chaotic fractional order system and propose a control methodology that is better than the nonlinear counterparts available in the literature, in the sense of simplicity of implementation and analysis. A scalar control input that excites only one of the states is proposed, and sufficient conditions for the controller gain to stabilize the unstable equilibrium points derived. Numerical simulations confirm the theoretical analysis. © 2013 Elsevier Ltd. All rights reserved
Covariance and Gramian matrices in control and systems theory.
Covariance and Gramian matrices in control and systems
theory and pattern recognition are studied in the context of
reduction of dimensionality and hence complexity of large-scale
systems. This is achieved by the removal of redundant or
'almost' redundant information contained in the covariance
and Grarrdan matrices. The Karhunen-Loeve expansion (principal
component analysis) and its extensions and the singular value
decomposition of matrices provide the framework for the work
presented in the thesis. The results given for linear dynamical
systems are based on controllability and observability Gramians
and some new developments in singular perturbational analysis
are also presented
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