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 62 articles )

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  1. Gillis, Nicolas; Sharma, Punit: Minimal-norm static feedbacks using dissipative Hamiltonian matrices (2021)
  2. Zhang, Kaiqing; Hu, Bin; Başar, Tamer: Policy optimization for (\mathcalH_2) linear control with (\mathcalH_\infty) robustness guarantee: implicit regularization and global convergence (2021)
  3. Dileep, Deesh; Van Parys, Ruben; Pipeleers, Goele; Hetel, Laurentiu; Richard, Jean-Pierre; Michiels, Wim: Design of robust decentralised controllers for MIMO plants with delays through network structure exploitation (2020)
  4. Guo, Huiru; Feng, Zhi-Yong; She, Jinhua: Discrete-time multivariable PID controller design with application to an overhead crane (2020)
  5. Peretz, Y.; Merzbach, O.; Moyall, S.: On a new generalised LMI condition and randomised algorithm for robust stabilisation via static-output-feedback (2020)
  6. Sato, Masayuki: One-shot design of performance scaling matrices and observer-based gain-scheduled controllers depending on inexact scheduling parameters (2020)
  7. Yagoubi, Mohamed; Chaibi, Redouane: Reflection-based technique for synthesis of structured controllers with guaranteed local convergence (2020)
  8. Feng, Zhi-Yong; She, Jinhua; Xu, Li: A brief review and insights into matrix inequalities for (H_\infty) static-output-feedback control and a local optimal solution (2019)
  9. Lee, Donghwan; Hu, Jianghai: Sequential parametric convex approximation algorithm for bilinear matrix inequality problem (2019)
  10. 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)
  11. Peretz, Y.; Wu, W.: A randomised algorithm for computing static-output-feedbacks for large-scale systems (2019)
  12. Benner, Peter; Lowe, Ryan; Voigt, Matthias: (\mathcalL_\infty)-norm computation for large-scale descriptor systems using structured iterative eigensolvers (2018)
  13. Benner, Peter; Mitchell, Tim: Faster and more accurate computation of the (\mathcalH_\infty) norm via optimization (2018)
  14. dos Santos, João Fábio S.; Pellanda, Paulo C.; Simões, Alberto M.: Robust pole placement under structural constraints (2018)
  15. Feng, Zhi-Yong; Xu, Li: Optimization of coordinate transformation matrix for (H_\infty) static-output-feedback control of 2-D discrete systems in FM second model (2018)
  16. Mengi, Emre: Large-scale and global maximization of the distance to instability (2018)
  17. Peretz, Yossi: A randomized algorithm for optimal PID controllers (2018)
  18. Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan: Damping optimization of parameter dependent mechanical systems by rational interpolation (2018)
  19. Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias: Large-scale computation of (\mathcalL_\infty)-norms by a greedy subspace method (2017)
  20. Chellal, R.; Cuvillon, L.; Laroche, E.: Model identification and vision-based (H_\infty) position control of 6-DoF cable-driven parallel robots (2017)

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