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CEAS EuroGNC 2019

Optimal guaranteed cost sliding mode control for a missile with unmatched uncertainties
Donghyeok Hwang Agency for Defense Development
Min-Jea Tahk Department of Aerospace Engineering, KAIST
Abstract:
If the matching condition of uncertainties is not satisfied, robustness of sliding mode control becomes limited. In order to solve the unmatched problem, this paper presents a sliding mode controller with a combination of an optimal guaranteed cost controller. The model uncertainties are assumed to be norm-bounded, but the matched condition needs not to be satisfied. The proposed sliding mode controller is designed to provide system invariance to disturbances and parameter variations with known bounds which are implicit in the control channel called matched uncertainties. In addition, the combined optimal guaranteed cost controller ensures the sliding motion to be robust to unmatched uncertainties by providing an upper bound on a given performance cost. As a result, system performance degradation incurred by unmatched uncertainties is guaranteed to be less than the given bound otherwise the sliding motion may become unstable and/or performance may degrade. Conditions for the existence of guaranteed cost sliding mode satisfying the given constraints are derived. The performance of the proposed schemes is illustrated by numerical simulations.
Keywords: Optimal control; Optimization; Robust control
 View PDF CEAS-GNC-2019-033


Donghyeok Hwang, Min-Jea Tahk: Optimal guaranteed cost sliding mode control for a missile with unmatched uncertainties. Proceedings of the 2019 CEAS EuroGNC conference. Milan, Italy. April 2019. CEAS-GNC-2019-033.
BibTeX entry:

@Incollection{CEAS-GNC-2019-033,
    authors = {Hwang, Donghyeok and Tahk, Min-Jea},
    title = {Optimal guaranteed cost sliding mode control for a missile with unmatched uncertainties},
    booktitle = {Proceedings of the 2019 {CEAS EuroGNC} conference},
    address = {Milan, Italy},
    month = apr,
    year = {2019},
    note = {CEAS-GNC-2019-033}
}