New Linear-Matrix-Inequality (LMI) conditions are proposed for H∞ analysis and synthesis of uncertain fractional-order systems where the non-integer order of differentiation belongs to the set ]0 2[. The developed conditions are extended LMI conditions involving additional LMI variables needed for numerical calculation of the feedback gains. The stability conditions are embedded with the necessary H∞ LMI conditions leading to new formulation of the bounded-real-lemma result. The stabilizability conditions with H∞ performance are subsequently derived and tested with static-pseudo-state feedbacks and static-output feedbacks as well.
Bibliographical noteKAUST Repository Item: Exported on 2022-07-01
Acknowledgements: The author thanks King Fahd University of Petroleum and Minerals for supporting this research and acknowledge the support of King Abdulaziz City for Science and Technology (KACST) Technology Innovation Center (TIC) for Solid-State Lighting (SSL) grant EE002381, which is subawarded to KFUPM, from the primary grant KACST TIC R2-FP-008 awarded to King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.