A new method for optimal control design of distributed parameter systems is presented in this paper. The concept of proper orthogonal decomposition is used for the model reduction of distributed parameter systems to form a reduced order lumped parameter problem. The optimal control problem is then solved in the time domain, in a state feedback sense, following the philosophy of ''adaptive critic'' neural networks. The control solution is then mapped back to the spatial domain using the same basis functions. Numerical simulation results are presented for a linear and nonlinear one-dimensional heat equation problem in an infinite time regulator framework.

Meeting Name

2002 American Control Conference


Mechanical and Aerospace Engineering

Keywords and Phrases

1D Heat Equation Problem; Distributed Parameter Systems; Heat Conduction; Model Reduction; Neural Nets; Neural Networks; Optimal Control; Orthogonal Decomposition; Reduced Order Lumped Parameter; Reduced Order Systems; State Feedback; Time Domain Analysis

International Standard Serial Number (ISSN)


Document Type

Article - Conference proceedings

Document Version

Final Version

File Type





© 2002 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jan 2002