Title :
Backstepping boundary control for first-order hyperbolic PDEs with unknown spatially varying parameter
Author :
Xu Zaihua ; Liu Yungang ; Jian Li
Author_Institution :
Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China
Abstract :
The adaptive boundary stabilization is investigated for a class of systems described by first-order hyperbolic PDEs with unknown spatially varying parameter. Towards the system unknowns, a dynamic compensation is first given by using infinite-dimensional backstepping method, adaptive techniques and projection operator. Then an adaptive boundary controller is constructed by certainty equivalence principle, which can stabilize the original system in a certain sense.
Keywords :
adaptive control; hyperbolic equations; multidimensional systems; partial differential equations; stability; adaptive boundary controller; adaptive boundary stabilization; adaptive techniques; backstepping boundary control; certainty equivalence principle; dynamic compensation; first-order hyperbolic PDE; infinite-dimensional backstepping method; projection operator; unknown spatially varying parameter; Adaptive control; Backstepping; Closed loop systems; Educational institutions; Equations; Adaptive Stabilization; First-order Hyperbolic PDEs; Infinite-dimensional Backstepping; Spatially Varying Parameter;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897052
