Title
Discrete-Time Nonlinear Systems Inverse Optimal Control: A Control Lyapunov Function Approach
Abstract
This paper presents an inverse optimal control approach for exponential stabilization of discrete-time non-linear systems, avoiding to solve the associated Hamilton-Jacobi-Bellman (HJB) equation, and minimizing a meaningful cost function. This stabilizing optimal controller is based on a discrete-time control Lyapunov function. The applicability of the proposed approach is illustrated via simulations by stabilization of an example.
Year
DOI
Venue
2011
10.1109/CCA.2011.6044461
2011 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA)
Keywords
Field
DocType
discrete time,nonlinear systems,control lyapunov function,cost function,nonlinear system,minimisation,linear system,optimal control,asymptotic stability,exponential stability,feedback control,mathematical model,a priori knowledge,nonlinear control,inverse problems,symmetric matrices
Hamilton–Jacobi–Bellman equation,Lyapunov equation,Control theory,Optimal control,Control-Lyapunov function,Computer science,Control theory,Lyapunov optimization,Control engineering,Lyapunov redesign,Exponential stability
Conference
ISSN
Citations 
PageRank 
1085-1992
4
0.63
References 
Authors
3
3
Name
Order
Citations
PageRank
Fernando Ornelas1202.17
Edgar N. Sanchez264585.49
Alexander G. Loukianov331647.55