Title
Boundary Control of Linear Uncertain 1-D Parabolic PDE Using Approximate Dynamic Programming.
Abstract
This paper develops a near optimal boundary control method for distributed parameter systems governed by uncertain linear 1-D parabolic partial differential equations (PDE) by using approximate dynamic programming. A quadratic surface integral is proposed to express the optimal cost functional for the infinite-dimensional state space. Accordingly, the Hamilton-Jacobi-Bellman (HJB) equation is form...
Year
DOI
Venue
2018
10.1109/TNNLS.2017.2669944
IEEE Transactions on Neural Networks and Learning Systems
Keywords
Field
DocType
Mathematical model,Aerospace electronics,Kernel,Optimal control,Stability analysis,Reduced order systems,Control design
Hamilton–Jacobi–Bellman equation,Parabolic partial differential equation,Lyapunov function,Optimal control,Control theory,PDE surface,Distributed parameter system,Partial differential equation,Mathematics,Parabola
Journal
Volume
Issue
ISSN
29
4
2162-237X
Citations 
PageRank 
References 
2
0.36
11
Authors
3
Name
Order
Citations
PageRank
Behzad Talaei142.12
Sarangapani Jagannathan2113694.89
John R. Singler35912.98