2011
DOI: 10.1109/tie.2010.2045414
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Gain-Scheduled ${\cal H}_{\infty}$ Control for WECS via LMI Techniques and Parametrically Dependent Feedback Part II: Controller Design and Implementation

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Cited by 69 publications
(41 citation statements)
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“…By utilizing a norm reduction method, the H ∞ control design problem searches the gain matrix K[z] such that the H ∞ -norm conforms to Equation (16) for the closed-loop operator, from the external input variables and disturbances w to the output z. Hence, the H ∞ problem is to find the stabilizing controller K[z] that minimizes Equation (16) and internally stabilizes the closed-loop system subject to the structural constraints dictated by the control law specifications [15].…”
Section: Grid-side Invertermentioning
confidence: 99%
See 2 more Smart Citations
“…By utilizing a norm reduction method, the H ∞ control design problem searches the gain matrix K[z] such that the H ∞ -norm conforms to Equation (16) for the closed-loop operator, from the external input variables and disturbances w to the output z. Hence, the H ∞ problem is to find the stabilizing controller K[z] that minimizes Equation (16) and internally stabilizes the closed-loop system subject to the structural constraints dictated by the control law specifications [15].…”
Section: Grid-side Invertermentioning
confidence: 99%
“…Therefore, taking into account of the power producing capacity of the modern WECS (2-5 MW), the high turbulence wind velocities, and the parameter uncertainties, the researchers have prompted to interest in the robust control concepts (e.g., H 2 or H ∞ controllers). In particular, the robust H ∞ controller formulation for the WECS is adopted in [3,[14][15][16][17], to improve the performance at the high turbulence wind velocities, or parameter uncertainties.…”
Section: Introductionmentioning
confidence: 99%
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“…In the last decade, GS control has received significant practical interest and research effort. Many mechatronic systems, such as overhead cranes [3], electromagnetic actuators [4], wind energy conversion systems [5], [6] and surgical teleoperation systems [7] do exhibit LPV dynamics. In addition, LPV models also result from linearizing nonlinear system dynamics around a given statetrajectory.…”
Section: Introductionmentioning
confidence: 99%
“…However, the performance of these linear controllers is limited by the highly nonlinear characteristics of the wind turbine. Also, the gain scheduling control has been presented for compensating for the system nonlinearity, where the controller gains are continuously updated with the change of the system operating conditions [6]. However, a major drawback is the selection of the scheduling variable, to maintain the non-linearity of the system and to vary slowly.…”
Section: Introductionmentioning
confidence: 99%