학술논문

Accelerated iterative distributed controller synthesis with a Barzilai-Borwein step size
Document Type
Conference
Source
2012 IEEE 51st IEEE Conference on Decision and Control (CDC) Decision and Control (CDC), 2012 IEEE 51st Annual Conference on. :4864-4870 Dec, 2012
Subject
Robotics and Control Systems
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Trajectory
Vectors
Distributed control
Optimization
Convergence
Nickel
Differential equations
Language
ISSN
0191-2216
0743-1546
Abstract
Distributed control of large-scale dynamical systems poses a new challenge to the field of control driven by the technological advances of modern communication networks. A particular challenge is the distributed design of such control systems. Here, a distributed iterative controller synthesis method for continuous time linear systems using a gradient descent method is presented. One of the main contributions is the determination of the step size according to a distributed Barzilai-Borwein (BB) method. As the control objective, we treat the finite horizon linear quadratic cost functional. The gradient approach uses communication only with direct neighbors and is based on the forward simulation of the system states and the backwards simulation of adjoint states. The effectiveness of the approach is shown by means of numerical simulations.