Some results on disturbance attenuation for Hamiltonian systems via direct discrete-time design

Yaclin Y., Goren-Sumer L., Astolfi A.

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, cilt.25, sa.13, ss.1927-1940, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 13
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1002/rnc.3175
  • Dergi Adı: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1927-1940
  • Anahtar Kelimeler: Hamiltonian systems, nonlinear systems, disturbance attenuation, H-infinity optimal control, robust control, H-INFINITY-CONTROL, PASSIVITY-BASED CONTROL, INPUT-OUTPUT, STABILIZATION, INTERCONNECTION, FEEDBACK
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The disturbance attenuation and robust disturbance attenuation problems for Hamiltonian systems in the discrete-time setting are considered and some new results are presented. The new results are derived utilizing the recently presented dissipativity equality obtained by adding the dissipation rate function to the classical dissipativity inequality. A selection of the dissipation rate function yields new results. These results include a condition on the dissipation structure of the system to achieve the desired disturbance attenuation level and gives direct construction of optimal control laws for any desired disturbance attenuation level. The results remove the need to solve Hamilton-Jacobi-Isaacs inequalities. Copyright (C) 2014 John Wiley & Sons, Ltd.