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 39 articles )

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  1. Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias: Large-scale computation of $\mathcalL_\infty$-norms by a greedy subspace method (2017)
  2. Chellal, R.; Cuvillon, L.; Laroche, E.: Model identification and vision-based $H_\infty$ position control of 6-DoF cable-driven parallel robots (2017)
  3. Fenzi, Luca; Michiels, Wim: Robust stability optimization for linear delay systems in a probabilistic framework (2017)
  4. Gillis, Nicolas; Sharma, Punit: On computing the distance to stability for matrices using linear dissipative Hamiltonian systems (2017)
  5. Karimi, Alireza; Kammer, Christoph: A data-driven approach to robust control of multivariable systems by convex optimization (2017)
  6. Wollnack, Simon; Abbas, Hossam Seddik; Tóth, Roland; Werner, Herbert: Fixed-structure LPV-IO controllers: an implicit representation based approach (2017)
  7. Peretz, Yossi (Joseph): A randomized approximation algorithm for the minimal-norm static-output-feedback problem (2016)
  8. Xiang, Changle; Wang, Yang; Ma, Yue; Xu, Bin: Robust flight control using nonsmooth optimization for a tandem ducted fan vehicle (2016)
  9. Curtis, Frank E.; Que, Xiaocun: A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees (2015)
  10. Feng, Zhi-Yong; Xu, Li; She, Jinhua; Guo, Xue-Xun: Optimization of coordinate transformation matrix for $H_\infty$ static-output-feedback control of linear discrete-time systems (2015)
  11. 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)
  12. Lee, Dong Hwan; Joo, Young Hoon; Tak, Myung Hwan: Periodically time-varying memory static output feedback control design for discrete-time LTI systems (2015)
  13. Sadeghzadeh, Arash; Karimi, Alireza: Fixed-structure $\calH_2$ controller design for polytopic systems via LMIs (2015)
  14. Gumussoy, Suat; Michiels, Wim: Tuning an H-infinity controller with a given order and a structure for interconnected systems with delays (2014)
  15. Khodaverdian, Saman; Adamy, Jürgen: A noninteracting control strategy for the robust output synchronization of linear heterogeneous networks (2014)
  16. Sadeghzadeh, Arash: Fixed-structure $\mathcalH_\infty$ controller design for systems with polytopic uncertainty: an LMI solution (2014)
  17. Guglielmi, Nicola; Gürbüzbalaban, Mert; Overton, Michael L.: Fast approximation of the $H_\infty$ norm via optimization over spectral value sets (2013)
  18. Lewis, Adrian S.; Overton, Michael L.: Nonsmooth optimization via quasi-Newton methods (2013)
  19. Simon, Emile; Wertz, Vincent: Improvement of the LMI change of variables for multi-objective control design problems (2013)
  20. Wakaiki, Masashi; Yamamoto, Yutaka; Özbay, Hitay: Stable controllers for robust stabilization of systems with infinitely many unstable poles (2013)

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