Paper Info
Title
Constructive Lyapunov Stabilization With Approximate Optimality For A Class Of Nonlinear Systems
Abstract
This paper presents a recursive constructing approach to Lyapunov function with optimality for a class of nonlinear systems. The targeted systems are formulated as cascaded system with triangular structure. For this class of nonlinear systems, stabilization problem has been a typical issue and solved by recursively constructing Lyapunov function using so-called back-stepping process. However, as is well known, this constructive design of feedback stabilizing control law is usually lacking time response performance due to the attention of controller design focuses stability only. The presented design approach in this paper puts an optimality into the recursive design process by targeting an approximate solution of Hamiltonian equality. It has been shown that at each stage of the recursive design a Lyapunov function that guarantees optimality can be obtained approximately by policy iteration. Finally, numerical examples are shown to demonstrate the design process.
Year
DOI
Venue
2018
10.23919/ECC.2018.8550437
2018 EUROPEAN CONTROL CONFERENCE (ECC)
Field
DocType
Citations 
Lyapunov function,Optimal control,Nonlinear system,Constructive,Computer science,Control theory,Engineering design process,Design process,Recursion,Numerical stability
Conference
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Zhenhui Xu101.01
Tielong Shen224340.52