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Interpolation for gain-scheduled control with guarantees

✍ Scribed by Fernando D. Bianchi; Ricardo S. Sánchez Peña

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
289 KB
Volume
47
Category
Article
ISSN
0005-1098

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✦ Synopsis

a b s t r a c t

Here, a methodology is presented which considers the interpolation of linear time-invariant (LTI) controllers designed for different operating points of a nonlinear system in order to produce a gainscheduled controller. Guarantees of closed-loop quadratic stability and performance at intermediate interpolation points are presented in terms of a set of linear matrix inequalities (LMIs). The proposed interpolation scheme can be applied in cases where the system must remain at the operating points most of the time and the transitions from one point to another rarely occur, e.g., chemical processes, satellites.

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