Numerical Methods for Robust Performance Analysis of Linear Discrete-Time Polytopic Systems with Respect to Random Disturbances

Capa

Citar

Texto integral

Acesso aberto Acesso aberto
Acesso é fechado Acesso está concedido
Acesso é fechado Acesso é pago ou somente para assinantes

Resumo

Discrete linear polytopic systems affected by random correlated stationary disturbances are considered. New numerical methods for estimating of the anisotropic norm of a polytopic system using linear matrix inequalities are proposed.

Sobre autores

A. Belov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences

Autor responsável pela correspondência
Email: a.a.belov@inbox.ru
Moscow, Russia

Bibliografia

  1. Gahinet P., Apkarian P., Chilali M. Affine parameter-dependent Lyapunov functions and real parametric uncertainty // IEEE Trans. Automat. Control. 1996. V. 41. No. 3. P. 436-442.
  2. Daafouz J., Bernussou J. Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties // Systems & Control Letters. 2001. V. 43. No. 5. P. 355-359.
  3. Peaucelle D., Arzelier D. Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions // IEEE Trans. Automat. Control. 2001. V. 46. P. 624-630.
  4. de Oliveira M.C., Bernussou J., Geromel J.C. A new discrete-time robust stability condition // Systems & Control Letters. 1999. V. 37. No. 4. P. 261-265.
  5. Oliveira R.C.L.F., Peres P.L.D. A convex optimization procedure to compute H2 and H∞ norms for uncertain linear systems in polytopic domains // Optim. Control Appl. Meth. 2008. V. 29. P. 295-312.
  6. Vladimirov I.G., Kurdyukov A.P., Semyonov A.V. Anisotropy of signals and the entropy of linear stationary systems // Doklady Math. 1995. V. 51. No. 3. P. 388-390.
  7. Vladimirov I.G., Kurdyukov A.P., Semyonov A.V. On computing the anisotropic norm of linear discrete-time-invariant systems // Proc. 13th IFAC World Congress (San-Francisco, USA). 1996. P. 179-184.
  8. Diamond P., Vladimirov I.G., Kurdyukov A.P., Semyonov A.V. Anisotropy-based performance analysis of linear discrete time-invariant control systems // Int. J. of Control. 2001. V. 74. No. 1. P. 28-42.
  9. Andrianova O.G., Belov A.A. On Robust Performance Analysis of Linear Systems with Polytopic Uncertainties Affected by Random Disturbances // Proceedings of the 20th International Carpathian Control Conference (ICCC 2019, Krakow-Wieliczka, Poland). 2019. P. 1-6.
  10. Belov A.A. Random Disturbance Attenuation in Discrete-time Polytopic Systems: Performance Analysis and State-Feedback Control // Proceedings of the 2020 European Control Conference (ECC 20, Saint Petersburg, Russia). 2020. P. 633-637.
  11. Belov A.A. Robust pole placement and random disturbance rejection for linear polytopic systems with application to grid-connected converters // European Journal of Control. 2022. V. 63. P. 116-125.
  12. Tchaikovsky M.M., Kurdyukov A.P. Strict Anisotropic Norm Bounded Real Lemma in Terms of Matrix Inequalities // Doklady Math. 2011. V. 48. No. 3. P. 895-898.
  13. Чайковский М.М. Синтез субоптимального анизотропийного стохастического робастного управления методами выпуклой оптимизации // Дисc.. д-ра техн. наук. М.: 2012

Arquivos suplementares

Arquivos suplementares
Ação
1. JATS XML
Baixar

Declaração de direitos autorais © The Russian Academy of Sciences, 2023