Paper Info
Title
Finite-Horizon Near-Optimal Output Feedback Neural Network Control of Quantized Nonlinear Discrete-Time Systems With Input Constraint.
Abstract
The output feedback-based near-optimal regulation of uncertain and quantized nonlinear discrete-time systems in affine form with control constraint over finite horizon is addressed in this paper. First, the effect of input constraint is handled using a nonquadratic cost functional. Next, a neural network (NN)-based Luenberger observer is proposed to reconstruct both the system states and the control coefficient matrix so that a separate identifier is not needed. Then, approximate dynamic programming-based actor-critic framework is utilized to approximate the time-varying solution of the Hamilton-Jacobi-Bellman using NNs with constant weights and time-dependent activation functions. A new error term is defined and incorporated in the NN update law so that the terminal constraint error is also minimized over time. Finally, a novel dynamic quantizer for the control inputs with adaptive step size is designed to eliminate the quantization error overtime, thus overcoming the drawback of the traditional uniform quantizer. The proposed scheme functions in a forward-in-time manner without offline training phase. Lyapunov analysis is used to investigate the stability. Simulation results are given to show the effectiveness and feasibility of the proposed method.
Year
DOI
Venue
2015
10.1109/TNNLS.2015.2409301
IEEE transactions on neural networks and learning systems
Keywords
Field
DocType
approximate dynamic programming,optimal regulation,quantization.,neural network (nn),hamilton-jacobi-bellman (hjb) equation,finite horizon,optimal control,artificial neural networks,vectors
State observer,Lyapunov function,Mathematical optimization,Nonlinear system,Coefficient matrix,Optimal control,Control theory,Computer science,Discrete time and continuous time,Artificial neural network,Quantization (signal processing)
Journal
Volume
Issue
ISSN
PP
99
2162-2388
Citations 
PageRank 
References 
7
0.44
15
Authors
3
Name
Order
Citations
PageRank
Hao Xu121414.63
Qiming Zhao2313.26
Sarangapani Jagannathan3113694.89