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In this paper we design and analyze a full-information H∞ controller to in order to reduce the wake meandering behind a wind turbine. The low frequency instability that causes wake meandering can cause unsteady mechanical loads on the downstream turbines resulting in early onset of material fatigue. Controlling the wake meandering in a wind farm can therefore reduce maintenance costs. The control...
Wind turbines in a wind farm are operated individually to maximize their own power regardless of the impact of aerodynamic interactions on neighboring turbines. There is the potential to increase power and reduce overall structural loads by properly coordinating the turbines. To perform control design and analysis, a model needs to be of low computational complexity but retain the necessary dynamics...
Wind turbines are typically operated to maximize their own performance without considering the impact of wake effects on nearby turbines. There is the potential to increase total power and reduce structural loads by properly coordinating the individual turbines in a wind farm. The effective design and analysis of such coordinated controllers requires turbine wake models of sufficient accuracy but...
A modern hard disk drive uses a dual-stage actuator to read/write data on a track with width less than 100nm. The dual-stage actuator requires an advanced controller to achieve high performance on millions of hard disk drives. This paper presents a numerical algorithm utilizing convex optimization to create an uncertainty model, for the purpose of synthesizing a robust controller, from a set of experimental...
This paper considers the limits of disturbance rejection performance with preview information subject to actuator rate constraints. A one-state, continuous-time optimal control problem is formulated to investigate these limits. The optimal control action which minimizes the peak tracking error is explicitly characterized using Lagrange duality theory. In addition, the optimal tracking performance...
This paper considers the local performance analysis of uncertain polynomial systems. A method for estimating an upper bound of the local L2 → L2 gain is presented. The gain upper bound condition is formulated in terms of a dissipation inequality that incorporates an integral quadratic constraint to model the uncertainty. For polynomial systems, the dissipation inequality can be verified using sum-of-squares...
The design of the airframe of an aircraft is constrained due to aeroelastic effects (generally related to the wings) that induce flexible modes on the structure, and may lead to structural instability. This paper addresses the problem of active mode stabilization in an aircraft with flexible wings. The main objective of closed-loop control is to enlarge the allowable flight envelope by stabilizing...
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