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

Мұқаба

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат Ашық рұқсат
Рұқсат жабық Рұқсат берілді
Рұқсат жабық Рұқсат ақылы немесе тек жазылушылар үшін

Аннотация

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.

Авторлар туралы

A. Belov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences

Хат алмасуға жауапты Автор.
Email: a.a.belov@inbox.ru
Moscow, Russia

Әдебиет тізімі

  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

Қосымша файлдар

Қосымша файлдар
Әрекет
1. JATS XML
Жүктеу

© The Russian Academy of Sciences, 2023