论文信息 - On Fractional Systems H-Norm Computation

On Fractional Systems H-Norm Computation

Two methods are proposed in this paper for fractional system H -norm computation. These methods are extensions to fractional systems of well-known methods for integer systems. The first is based on singular value properties of a linear system and is applied on an academic example. In the second, two extensions of the real bounded lemma derived directly from Lyapunov’s theory are deduced. The first method is applied on an academic example.

[1] I. Podlubny. Fractional-Order Systems and -Controllers , 1999 .

[2] P. Khargonekar,et al. Approximation of infinite-dimensional systems , 1989 .

[3] R. Kashyap,et al. Robust Stability and Performance Analysis of Uncertain Systems Using Linear Matrix Inequalities , 1999 .

[4] Anissa Zergaïnoh-Mokraoui,et al. State-space representation for fractional order controllers , 2000, Autom..

[5] E. Yaz. Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[6] A. Oustaloup,et al. La commande crone : du scalaire au multivariable , 1999 .

[7] M. Fliess,et al. Gain Estimation for Fractional Linear Systems , 1998 .

[8] Toru Yamamoto,et al. Robust PID controller and its application , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.

[9] D. Matignon,et al. Some Results on Controllability and Observability of Finite-dimensional Fractional Differential Systems , 1996 .

[10] J. Battaglia,et al. Solving an inverse heat conduction problem using a non-integer identified model , 2001 .