Title :
Stabilization for boundary controlled cascaded heat-ODE system with time-dependent coefficient
Author_Institution :
Sch. of Math. & Stat., Southwest Univ., Chongqing, China
fDate :
May 31 2014-June 2 2014
Abstract :
In this paper, the stabilization of a cascaded heat-ODE system with time-dependent coefficient is discussed by choosing suitable backstepping transformation transferring the original heat-ODE system into an exponentially stable object system. We prove the existence of time-dependent kernels in forward and invertible transformation via successive approximation method, which is the novelty of the paper, at the same time, the exponential stability of closed-loop system is proved.
Keywords :
approximation theory; asymptotic stability; cascade control; cascade systems; closed loop systems; differential equations; heat systems; backstepping transformation; boundary controlled cascaded heat-ODE system stabilization; closed-loop system; exponential stability; exponentially stable object system; forward transformation; invertible transformation; time-dependent coefficient; time-dependent kernels; Approximation methods; Backstepping; Equations; Heating; Kernel; Stabilization; boundary control; cascaded heat-ODE; time-dependent coefficient;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852831
