Robust controllability of interval fractional order linear time invariant systems

Authors:
YangQuan Chen;Hyo-Sung Ahn;Dingyü Xue
Affiliations:
Center for Self-Organizing and Intelligent System, Department of Electrical and Computer Engineering, Utah State University, Logan, UT;Center for Self-Organizing and Intelligent System, Department of Electrical and Computer Engineering, Utah State University, Logan, UT;Institute of Artificial Intelligence and Robotics, Faculty of Information Science and Engineering, Northeastern University, Shenyang, PR China
Venue:
Signal Processing - Fractional calculus applications in signals and systems
Year:
2006

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Abstract

We consider uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients. Our focus is on the robust controllability issue for interval FO-LTI systems in state-space form. We revisit the controllability problem for the case when there is no interval uncertainty. It turns out that the controllability check for FO-LTI systems amounts to checking the controllability of conventional integer order state space. Based on this fact, we further show that, for interval FO-LTI systems, the key is to check the linear dependency of a set of interval vectors. Illustrative examples are presented.