کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
696961 | 890353 | 2011 | 15 صفحه PDF | دانلود رایگان |
Spectral analysis is considered for the flatness-based solution of the trajectory planning problem for a boundary controlled diffusion–reaction system defined on a 1≤r1≤r-dimensional parallelepipedon. By exploiting the Riesz spectral properties of the system operator, it is shown that a suitable reformulation of the resolvent operator allows a systematic introduction of a basic output, which yields a parametrization of both the system state and the boundary input in terms of differential operators of infinite order. Their convergence is verified for both infinite-dimensional and finite-dimensional actuator configurations by restricting the basic output to certain Gevrey classes involving non-analytic functions. With this, a systematic approach is introduced for basic output trajectory assignment and feedforward tracking control towards the realization of finite-time transitions between stationary profiles.
Journal: Automatica - Volume 47, Issue 5, May 2011, Pages 935–949