Title :
Optimal actuator/sensor placement for nonlinear control of the Kuramoto-Sivashinsky equation
Author :
Lou, Yiming ; Christofides, Panagiotis D.
Author_Institution :
Dept. of Chem. Eng., Univ. of California, Los Angeles, CA, USA
Abstract :
In this paper, we use a methodology that was recently proposed by Antoniades and Christofides (2001) to compute the optimal actuator/sensor locations for the stabilization, via nonlinear static output feedback control, of the zero solution of the Kuramoto-Sivashinsky equation (KSE) for values of the instability parameter for which this solution is unstable. The theoretical results are illustrated through computer simulations of the closed-loop system using a high-order discretization of the KSE.
Keywords :
Galerkin method; feedback; nonlinear control systems; optimal control; partial differential equations; Kuramoto-Sivashinsky equation; closed-loop system; computer simulations; high-order discretization; instability parameter; nonlinear control; nonlinear static output feedback control; optimal actuator/sensor placement; stabilization; Adaptive control; Control systems; Differential equations; Hydraulic actuators; Linear feedback control systems; Nonlinear equations; Optimal control; Output feedback; Partial differential equations; Sensor systems;
Journal_Title :
Control Systems Technology, IEEE Transactions on
DOI :
10.1109/TCST.2003.816405
