Accession Number : ADA326104

Title :   Computational Nonlinear Control.

Descriptive Note : Final rept. 1 Feb 95-31 Oct 96,

Corporate Author : CALIFORNIA UNIV DAVIS

Personal Author(s) : Krener, Arthur J.

PDF Url : ADA326104

Report Date : JAN 1997

Pagination or Media Count : 10

Abstract : The goals of this research project were the development of control and estimation algorithms for nonlinear systems which are computationally feasible with robust performance despite numerical and modeling errors. The approach was based on the recent generalization of linear worst case (H-infinity) controllers to nonlinear systems. The construction of nonlinear H-infinity controllers depends on the solution of two PDE's of Hamilton-Jacobi type. The first is the one associated with the problem of H-infinity suboptimal control by state feedback that has appeared previously in the work of several authors. Numerical methods to compute a Taylor series solution term by term have been developed. The second PDE is a new Hamilton Jacobi equation associated with H-infinity suboptimal estimation. A hybrid computational method to solve such problems has been developed.

Descriptors :   *ALGORITHMS, *CONTROL SYSTEMS, *NONLINEAR SYSTEMS, COMPUTATIONS, MODELS, TAYLORS SERIES, NUMERICAL ANALYSIS, ESTIMATES, FEEDBACK, ERRORS, HYBRID SYSTEMS, NUMERICAL METHODS AND PROCEDURES.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE