H∞ and H2 controller design for linear systems is a difficult, nonconvex, nonsmooth optimization problem when the order of the controller is fixed to be less than that of the open-loop plant, a typical requirement in e.g. embedded aerospace control systems. In addition, it is often desired to compute a single controller which stabilizes multiple plants simultaneously. HIFOO is aimed at solving fixed-order stabilization and performance optimization problems. It depends on a hybrid algorithm for nonsmooth, nonconvex optimization based on quasi-Newton updating and gradient sampling. (Source: http://plato.asu.edu)

References in zbMATH (referenced in 24 articles )

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  1. Peretz, Yossi (Joseph): A randomized approximation algorithm for the minimal-norm static-output-feedback problem (2016)
  2. Curtis, Frank E.; Que, Xiaocun: A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees (2015)
  3. Hilhorst, Gijs; Pipeleers, Goele; Michiels, Wim; Swevers, Jan: Sufficient LMI conditions for reduced-order multi-objective $\mathcal H_2/\mathcal H_\infty$ control of LTI systems (2015)
  4. Lee, Dong Hwan; Joo, Young Hoon; Tak, Myung Hwan: Periodically time-varying memory static output feedback control design for discrete-time LTI systems (2015)
  5. Gumussoy, Suat; Michiels, Wim: Tuning an H-infinity controller with a given order and a structure for interconnected systems with delays (2014)
  6. Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L.: Fast approximation of the $H_\infty$ norm via optimization over spectral value sets (2013)
  7. Lewis, Adrian S.; Overton, Michael L.: Nonsmooth optimization via quasi-Newton methods (2013)
  8. Wakaiki, Masashi; Yamamoto, Yutaka; Özbay, Hitay: Stable controllers for robust stabilization of systems with infinitely many unstable poles (2013)
  9. Curtis, Frank E.; Overton, Michael L.: A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization (2012)
  10. Kim, Yoonsoo: Static output feedback stabilization of interconnected systems (2012)
  11. Mahmoud, Magdi S.; Koesdwiady, Arief B.: Improved digital tracking controller design for pilot-scale unmanned helicopter (2012)
  12. Sou, Kin Cheong; Rantzer, Anders: Controller reduction via minimum rank matrix approximation (2012)
  13. Henrion, Didier; Malick, Jér^ome: Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions (2011)
  14. Wang, Fu-Cheng; Lin, Liu-Hsu; Chou, Ming-Cheng: Multivariable robust control for a 500W self-humidified PEMFC system (2011)
  15. Gumussoy, Suat; Michiels, Wim: A predictor-corrector type algorithm for the pseudospectral abscissa computation of time-delay systems (2010)
  16. Vyhlídal, Tomáš; Michiels, Wim; McGahan, Paul: Synthesis of strongly stable state-derivative controllers for a time-delay system using constrained non-smooth optimization (2010)
  17. Apkarian, Pierre; Noll, Dominikus; Prot, Olivier: A proximity control algorithm to minimize nonsmooth and nonconvex semi-infinite maximum eigenvalue functions (2009)
  18. Huijberts, Henri; Michiels, Wim; Nijmeijer, Henk: Stabilizability via time-delayed feedback: an eigenvalue optimization approach (2009)
  19. Vanbiervliet, Joris; Vandereycken, Bart; Michiels, Wim; Vandewalle, Stefan; Diehl, Moritz: The smoothed spectral abscissa for robust stability optimization (2009)
  20. Bompart, Vincent; Apkarian, Pierre; Noll, Dominikus: Control design in the time and frequency domain using nonsmooth techniques (2008)

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