Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)
DOI: 10.1109/cdc.2001.914715
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Abstract: This paper deals with the problem of LZ disturbance attenuation for Hamiltonian systems. We first show that the L2 gain from the disturbance to a penalty signal may be reduced to any given level if the penalty signal is defined properly. Then, an adaptive version of the controller will be presented to compensate .the parameter perturbation. An adaptive Lz controller for the power system is designed using the proposed method and a simulation result with the proposed controller is given.A powerful design techniq… Show more

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Cited by 37 publications
(47 citation statements)
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“…The L 2 disturbance attenuation problem of pseudo-Hamiltonian system has been discussed in [22]. The L 2 disturbance attenuation problem can be described as follows: Given a penalty signal z = q(x), a disturbance attenuation level γ > 0 and a desired equilibrium x 0 ∈ R n , find a feedback control law u = k(x), a positive storage function V (x) and a non-negative definite function Q(x) such that the γ-dissipation inequality…”
Section: A Necessary Condition For (32) To Have a Strict Dissipative mentioning
confidence: 99%
See 3 more Smart Citations
“…The L 2 disturbance attenuation problem of pseudo-Hamiltonian system has been discussed in [22]. The L 2 disturbance attenuation problem can be described as follows: Given a penalty signal z = q(x), a disturbance attenuation level γ > 0 and a desired equilibrium x 0 ∈ R n , find a feedback control law u = k(x), a positive storage function V (x) and a non-negative definite function Q(x) such that the γ-dissipation inequality…”
Section: A Necessary Condition For (32) To Have a Strict Dissipative mentioning
confidence: 99%
“…Ifg 2 = 0 and ξ = I m , the problem is reduced to the case discussed in [22], where the dissipative realization is assumed. The following is our main result for H ∞ control design for dissipative Hamiltonian systems.…”
Section: A Necessary Condition For (32) To Have a Strict Dissipative mentioning
confidence: 99%
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“…Up to now, the port-controlled Hamiltonian approach has been used in various control problems [17,9,23]. In particular, it has been successfully applied to the control of power systems in a series of works [3,24,14,28].…”
Section: Introductionmentioning
confidence: 99%