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Stability margins of singular perturbation systems via state‐feedback control
Author(s) -
Cheng ChiuPin,
Li TzuuHseng S.,
Sun YorkYih
Publication year - 1992
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.4590020304
Subject(s) - control theory (sociology) , perturbation (astronomy) , singular value , singular perturbation , minimum phase , mathematics , quadratic equation , feedback control , stability (learning theory) , transfer function , control (management) , computer science , mathematical analysis , engineering , physics , eigenvalues and eigenvectors , control engineering , geometry , artificial intelligence , machine learning , quantum mechanics , electrical engineering
The gain and phase margins of singular perturbation systems are analysed under unmodelled high‐frequency dynamics control, composite control, and the original full‐order linear quadratic (LQ) control. The analysis is on the basis that there is a good relation between the minimum singular value of return difference transfer matrix and the stability margins. We begin with the examination of stability margins of subsystems and then show that state‐feedback control design of subsystems could preserve gain and phase margins for the original full‐order singularly perturbed system if the singular perturbation parameter epsiv; is sufficiently small. The effectiveness of ε on stability margins is formulated and determined. It is found that the effectiveness can be evaluated by a simple method. Two examples are exploited to illustrate the analytic results.