Accession Number:

ADA010730

Title:

A Systematic Nonlinear State Feedback Suboptimal Control Design for a Class of Nonlinear Systems.

Descriptive Note:

Technical rept.,

Corporate Author:

ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s):

• Yong,Angelo Augusto

Report Date:

1975-04-01

Pagination or Media Count:

62.0

Abstract:

The design of a nonlinear state feedback suboptimal control using parameter expansion techniques and the minimum principle is developed with a quadratic performance index to be minimized. The design is systematic when the nonlinearities of the system can be written as polynomial functions of the state variables. Then, the linear portion of the control is designed using the Riccati equation in the same way as in linear systems, and the nonlinear part is assumed to be homogeneous polynomials of the state variables with unknown coefficients that are in general function of t. A computer routine is developed to aid the determination of these coefficients. The method is applied to two examples. The first illustrates the design procedure and some features of the control, and the second is a study of a physical system.

Descriptors:

• *CONTROL THEORY
• COMPUTER PROGRAMS
• MATRICES(MATHEMATICS)
• THESES
• NONLINEAR SYSTEMS
• FEEDBACK
• RECURSIVE FUNCTIONS
• PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE