Robust functional observer design for uncertain fractional-order time-varying delay systems

• Published in: Proceedings of the American Control Conference pp. 2741 - 2746
• Main Authors: Boukal, Y., Zasadzinski, M., Darouach, M., Radhy, N. E.
• Format: Conference Proceeding Journal Article
• Language: English
• Published: American Automatic Control Council (AACC) 01.07.2016
• Subjects: Conferences; Delay; Design engineering; Electronics; Estimation error; Fractional-order system; Functional Observer; Linear Matrix Inequality; LMI; Lyapunov functions; Lyapunov methods; Observers; Optimization; Rejection; Robust Observer; Robustness; Simulation; Stability; time delay system; Time-varying systems; Uncertainty; ℓ2 norm
• ISSN: 2378-5861
• DOI: 10.1109/ACC.2016.7525333

In this work, existence and design of Robust Functional Observer (RFO) for Uncertain Fractional-Order Systems with Time-Varying-Delay (UFOS-TVD) are addressed. Usually, when the considered system is under the effect of structured uncertainties, this kind of problems, referred as ℓ2-gain rejection, aims at designing a RFO minimizing a given cost function subject to ℓ2-gain rejection constraint, which means, the rejection of the uncertain states effect on the estimated errors. An LMI-based minimization problem for the robust stability is derived based on the indirect Lyapunov and Lyapunov-Krasovskii approaches. Finally, a simulation results are presented to illustrate the performance of the proposed methodology.