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Controllers which guarantee robustness with respect to unmodelled flexibilities for a class of uncertain mechanical systems
Author(s) -
Corless Martin
Publication year - 1990
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480040611
Subject(s) - control theory (sociology) , robustness (evolution) , class (philosophy) , stiffness , mechanical system , robust control , output feedback , computer science , control engineering , mathematics , control system , engineering , control (management) , structural engineering , artificial intelligence , electrical engineering , gene , biochemistry , chemistry
We consider a class of uncertain mechanical systems containing flexible elements and subject to memoryless output‐feedback controllers. The damping and stiffness properties of some of the flexible elements are parametrized linearly in μ −1 and μ −2 respectively, where μ > 0 and these components become more rigid as μ approaches zero. We propose a class of ‘stabilizing’ controllers for a system model in which the above components are rigid. Subject to a ‘linear growth condition’, the controllers also stabilize the model in which the components are flexible provided μ > 0 is sufficiently small.