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 52 articles )

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  1. Sato, Masayuki: One-shot design of performance scaling matrices and observer-based gain-scheduled controllers depending on inexact scheduling parameters (2020)
  2. Lee, Donghwan; Hu, Jianghai: Sequential parametric convex approximation algorithm for bilinear matrix inequality problem (2019)
  3. Morais, Cecília F.; Braga, Márcio F.; Tognetti, Eduardo S.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D.: Digital redesign of analogue dynamic output-feedback controllers for polytopic systems (2019)
  4. Benner, Peter; Lowe, Ryan; Voigt, Matthias: (\mathcalL_\infty)-norm computation for large-scale descriptor systems using structured iterative eigensolvers (2018)
  5. Benner, Peter; Mitchell, Tim: Faster and more accurate computation of the (\mathcalH_\infty) norm via optimization (2018)
  6. dos Santos, João Fábio S.; Pellanda, Paulo C.; Simões, Alberto M.: Robust pole placement under structural constraints (2018)
  7. Mengi, Emre: Large-scale and global maximization of the distance to instability (2018)
  8. Peretz, Yossi: A randomized algorithm for optimal PID controllers (2018)
  9. Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan: Damping optimization of parameter dependent mechanical systems by rational interpolation (2018)
  10. Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias: Large-scale computation of (\mathcalL_\infty)-norms by a greedy subspace method (2017)
  11. Chellal, R.; Cuvillon, L.; Laroche, E.: Model identification and vision-based (H_\infty) position control of 6-DoF cable-driven parallel robots (2017)
  12. Fenzi, Luca; Michiels, Wim: Robust stability optimization for linear delay systems in a probabilistic framework (2017)
  13. Gillis, Nicolas; Sharma, Punit: On computing the distance to stability for matrices using linear dissipative Hamiltonian systems (2017)
  14. Karimi, Alireza; Kammer, Christoph: A data-driven approach to robust control of multivariable systems by convex optimization (2017)
  15. Peretz, Yossi: On application of the ray-shooting method for LQR via static-output-feedback (2017)
  16. Wollnack, Simon; Abbas, Hossam Seddik; Tóth, Roland; Werner, Herbert: Fixed-structure LPV-IO controllers: an implicit representation based approach (2017)
  17. Peretz, Yossi (Joseph): A randomized approximation algorithm for the minimal-norm static-output-feedback problem (2016)
  18. Xiang, Changle; Wang, Yang; Ma, Yue; Xu, Bin: Robust flight control using nonsmooth optimization for a tandem ducted fan vehicle (2016)
  19. Curtis, Frank E.; Que, Xiaocun: A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees (2015)
  20. 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)

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