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      Robust LQ control for harmonic reference/disturbance signals

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      Author
      Köroğlu, Hakan
      Morgül, Ömer
      Date
      2000
      Source Title
      Proceedings of the 39th IEEE Conference on Decision and Control, IEEE 2000
      Print ISSN
      0191-2216
      Publisher
      IEEE
      Pages
      3727 - 3732
      Language
      English
      Type
      Conference Paper
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      Abstract
      Linear Quadratic (LQ) controller design is considered for continuous-time systems with harmonic signals of known frequencies and it is shown that the design is reducible to an interpolation problem. All LQ optimal loops are parametrized by a particular solution of this interpolation problem and a (free) stable/proper transfer function. The appropriate choice of this free parameter for optimal stability robustness is formulated as a multiobjective design problem and reduced to a Nevanlinna-Pick interpolation problem with some interpolation points on the boundary of the stability domain. Using a related result from the literature, it is finally shown that, if there is sufficient penalization on the power of the control input, the level of optimum stability robustness achievable with LQ optimal controllers is the same as the level of optimum stability robustness achievable by arbitrary stabilizing controllers.
      Keywords
      Control design
      H∞ control
      Harmonic signals
      LQ control
      Control system synthesis
      Optimal control systems
      Robustness (control systems)
      System stability
      Transfer functions
      Linear quadratic control
      Linear time invariant systems
      Linear control systems
      Permalink
      http://hdl.handle.net/11693/27631
      Published Version (Please cite this version)
      https://www.doi.org/10.1109/CDC.2000.912289
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      • Department of Electrical and Electronics Engineering 3614
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