H ∞ Controller

  • Wodek Gawronski
Part of the Mechanical Engineering Series book series (MES)

This chapter presents the tuning process of the H controller. It describes the H controller modified for tracking purposes, gives the closed loop equations, and presents the 34-m antenna example, with the limits of the performance.

Definition and Gains

Application of the H controllers to antennas and telescopes is discussed in [ 1, 2, 3, 4, 5, 6, 7, 8]. The structure of an H controller is similar to that of the LQG controller, although its parameters are obtained from a different algorithm. The algorithm minimizes the system H norm, which is, in the case of a SISO system, the maximal magnitude of its transfer function. Also, in the algorithm the control ( u) and the disturbance ( w) inputs of a system are separated (see Fig. 9.1). The control ( y) and performance ( z) outputs are also parted. In our case the plant-controlled input ( u) is the velocity input to the drives, the disturbance input ( w) is the wind pressure at the antenna structure, the controlled output ( y) is the encoder...


Wind Gust Algebraic Riccati Equation Wind Disturbance Close Loop Transfer Function Acceleration Limit 
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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • Wodek Gawronski
    • 1
  1. 1.Jet Populsion LaboratoryCalifornia Institute of TechnologyPasedenaUSA

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