Technical communique: Interpolation for gain-scheduled control with guarantees

Authors:
Fernando D. Bianchi;Ricardo S. Sánchez Peña
Affiliations:
IREC Catalonia Institute for Energy Research, Josep Pla, B2, Pl. Baixa, 08019 Barcelona, Spain;CONICET and Instituto Tecnológico de Buenos Aires (ITBA), Av. E. Madero 399, (C1106ACD) Buenos Aires, Argentina
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 3
Cited 1

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Brief Stability preserving interpolation methods for the synthesis of gain scheduled controllers

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Survey Research on gain scheduling

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Abstract

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 gain-scheduled 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.