LMI-based robust sampled-data stabilization of polytopic LTI systems: A truncated power series expansion approach

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For continuous-time linear time-invariant (LTI) systems with polytopic uncertainties, we develop a robust sampled-data state-feedback control design scheme in terms of linear matrix inequalities (LMIs). Truncated power series expansions are used to approximate a discretized model of the original continuous-time system. The system matrices obtained by using the power series approximations are then expressed as homogeneous polynomial parameter-dependent (HPPD) matrices of finite degrees, and conditions for designing the controller are formulated as a HPPD matrix inequality, which can be solved by means of a recent LMI relaxation technique to test the positivity of HPPD matrices with variables in the simplex. To take care of the errors induced by the remainder terms of the truncated power series, the terms are considered as norm bounded uncertainties and then incorporated into the proposed LMI conditions. Finally, examples are used to illustrate the approach.
Publisher
INST CONTROL ROBOTICS & SYSTEMS
Issue Date
2015-04
Language
English
Article Type
Article
Citation

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, v.13, no.2, pp.284 - 291

ISSN
1598-6446
DOI
10.1007/s12555-014-0328-5
URI
http://hdl.handle.net/10203/286066
Appears in Collection
EE-Journal Papers(저널논문)
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