Optimal discrete-time control for non-linear cascade systems

Authors

Chaouki T. Abdallah
W. M. Haddad
J. L. Fausz
V. Chellaboina

Document Type

Article

Publication Date

7-31-1998

Abstract

In this paper we develop an optimality-based framework for designing controllers for discrete-time nonlinear cascade systems. Specifically, using a nonlinear-nonquadratic optimal control framework we develop a family of globally stabilizing backstepping-type controllers parameterized by the cost functional that is minimized. Furthermore, it is shown that the control Lyapunov function guaranteeing closed-loop stability is a solution to the steady-state Bellman equation for the controlled system and thus guarantees both optimality and stability.

Publisher

Elsevier

Publication Title

Journal of the Franklin Institute

Volume

335

Issue

5

First Page

827

Last Page

839

Language (ISO)

English

Sponsorship

Elsevier

Recommended Citation

Abdallah, Chaouki T.; W. M. Haddad; J. L. Fausz; and V. Chellaboina. "Optimal discrete-time control for non-linear cascade systems." Journal of the Franklin Institute , 5 (1998): 827-839. https://digitalrepository.unm.edu/ece_fsp/67

Comments

http://www.sciencedirect.com/science/article/pii/S0016003297000136