Yupeng Qiao, Yanyan Yuan, and Daizhan Cheng
Nonlinear system, Fliess functional expansion, state feedback, tracking, attitude control
This paper addresses output tracking of nonlinear systems via state feedback and Fliess expansion. Under the full row rank assumption on the “decoupling matrix," it is shown that a suitable state feedback can be designed such that the Fliess expansion of the closed-loop system contains only finite terms. A significant advantage of this form is that it avoids the truncation error in numerical calculation of Fliess expansions. As an application, this expansion is invoked to solve the problem of attitude control of missiles. Piecewise constant control is designed on each sampling interval to realize tracking optimization. Numerical simulations demonstrate the efficacy of the proposed control scheme.
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