Hwang, Donghyoek (Agency for Defense Development), Tahk, Min-Jea (KAIST)

Optimal Guaranteed Cost Sliding Mode Control for a Missile with Unmatched Uncertainties

Scheduled for presentation during the Regular Session "Robust control 2" (ThM2), Thursday, April 4, 2019, 11:30−12:00, BL281.1

5th CEAS Conference on Guidance, Navigation and Control, April 3-5, 2019, Milano, Italy

This information is tentative and subject to change. Compiled on April 19, 2024

Abstract

If the matching condition of uncertainties is not satisfied, robustness of sliding mode 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 bound otherwise the sliding motion may become unstable or performance may degrade. Conditions for the existence of guaranteed cost sliding mode satisfying the given constraints are derived. The performance of the proposed scheme is illustrated by numerical simulations.