State feedback H∞ optimal control for linear fractional-order systems

For linear fractional-order systems, state feedback H<inf>∞</inf> optimal control problem is considered. It is shown that essential infimum of the H<inf>∞</inf> norm of the closed-loop transfer function over all static stabilizing state-feedback laws can be completely characterized via a Fractional-order Algebraic Riccati Equation (FARE). Accordingly, the state-feedback H<inf>∞</inf> optimal controller design can be performed by iteratively solving an FARE.

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