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Lyapunov theory based robust control of complicated nonlinear mechanical systems with uncertainty
Hyun Cheol Cho
The Journal of Mechanical Science and Technology, vol. 22, no. 11, pp.2142-2150, 2008
Abstract : This paper presents a robust control approach for nonlinear uncertain crane systems with a three DOF framework.
We deal with an overhead crane in which a trolley located on the top is moved to x- and y-axes independently. We first
approximate the nonlinear system model through feedback linearization transformation to simply construct a PD control
and then design a robust control system for compensating control deviation feasibly occurring due to modeling
error or system perturbation in practice. An adaptive control rule is analytically derived by using Lyapunov stability
theory given bounds of system perturbation. We accomplish numerical simulation for evaluating the proposed methodology
and demonstrate its superiority by comparing with the traditional control strategy.
Keyword : Crane system; Robust control; System perturbation; Lyapunov theory |
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