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Some results on disturbance attenuation for Hamiltonian systems via direct discrete‐time design
Author(s) -
Yalçın Yaprak,
GörenSümer Leyla,
Astolfi Alessandro
Publication year - 2014
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3175
Subject(s) - attenuation , disturbance (geology) , dissipation , control theory (sociology) , hamiltonian (control theory) , hamiltonian system , mathematics , computer science , control (management) , mathematical optimization , mathematical analysis , physics , paleontology , artificial intelligence , optics , biology , thermodynamics
Summary 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 © 2014 John Wiley & Sons, Ltd.