Abstract:
The problem of designing robust observers for integer-order uncertain systems has been widely treated in the literature. Yet, the generalization of the existing results t...Show MoreMetadata
Abstract:
The problem of designing robust observers for integer-order uncertain systems has been widely treated in the literature. Yet, the generalization of the existing results to the fractional-order framework represents a fertile area of research. In this context, this paper presents a novel robust observer design for a class of uncertain fractional-order linear systems. The main results of the paper are established by using the Lyapunov stability theory, the Caputo definition of fractional-order derivatives, and a convenient Linear Matrix Inequality (LMI) technique. In order to validate these theoretical results, a simulation third-order numerical example is treated in the end of the paper.
Date of Conference: 19-22 March 2018
Date Added to IEEE Xplore: 09 December 2018
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- IEEE Keywords
- Index Terms
- Robust Design ,
- Fractional-order Systems ,
- Matching Uncertainty ,
- Robust Observer Design ,
- Linear System ,
- Observing System ,
- Linear Matrix Inequalities ,
- Uncertain Systems ,
- End Of The Paper ,
- Fractional Derivative Of Order ,
- Lyapunov Stability Theory ,
- Linear Matrix Inequality Technique ,
- Control Theory ,
- Fractional Differential Equations ,
- Fractional Derivative ,
- Fractional Order ,
- Fractional System
- Author Keywords
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Robust Design ,
- Fractional-order Systems ,
- Matching Uncertainty ,
- Robust Observer Design ,
- Linear System ,
- Observing System ,
- Linear Matrix Inequalities ,
- Uncertain Systems ,
- End Of The Paper ,
- Fractional Derivative Of Order ,
- Lyapunov Stability Theory ,
- Linear Matrix Inequality Technique ,
- Control Theory ,
- Fractional Differential Equations ,
- Fractional Derivative ,
- Fractional Order ,
- Fractional System
- Author Keywords