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Output Feedback Tracking Control of Flat Systems via Exact Feedforward Linearization and LPV Techniques

Liming Chen and Yingmin Jia*
International Journal of Control, Automation, and Systems, vol. 17, no. 3, pp.606-616, 2019

Abstract : "In this article, an output feedback control scheme is proposed for trajectory tracking of differentially flat systems. After applying the exact feedforward linearization, the tracking error dynamics is linearized as a linear time-varying (LTV) system, where only the state matrix is time-varying while the input and output matrices are time-invariant. Using linear parameter-varying (LPV) techniques based on polytopes, for the LTV system the controller matrices, which are set to be affine on time-varying parameters, are calculated by solving a set of linear matrix inequalities (LMIs). An example for trajectory tracking of a two-wheeled mobile robot is given to show the effectiveness of the proposed method."

Keyword : Flat systems, H∞ control, mobile robots, output feedback control.

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