Accession Number:

AD0779336

Title:

Cheap Control of the Time-Invariant Regulator.

Descriptive Note:

Technical rept.,

Corporate Author:

ARIZONA UNIV TUCSON DEPT OF MATHEMATICS

Personal Author(s):

• O'Malley,Robert E. , Jr.
• Jameson,Antony

Report Date:

1974-05-20

Pagination or Media Count:

42.0

Abstract:

The asymptotic solution of the linear quadratic state regulator problem is obtained as the cost of the control tends to zero. Matrix Riccati gains are obtained via singular perturbations theory and are used to asymptotically calculate the optimal control and the corresponding trajectories. Several cases are distinguished and applications are discussed. Author

Descriptors:

• *Control theory
• Regulators
• Matrices(Mathematics)
• Differential equations
• Feedback
• Optimization

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE