Grants and Contracts per year
Grants and Contracts Details
Description
Linearquadratic control is a fundamental technique for modern control systems. For
example, the linearquadratic estimator and extended Kalman filter are ubiquitous in the
field of estimation. Kalman filters are used in diverse applications, including spacecraft attitude
estimation and space weather prediction. Similarly, the linearquadratic regulator and
linearquadraticGaussian controller are foundational control methods with broad application
to NASA technologies such as spacecraft navigation and control, control of flexible space
structures, control of spacecraft propulsion systems, and aircraft control.
Despite the importance of linearquadratic control, many students find the subject challenging
to learn. This challenge is due, in part, to the mathematical tools that are used to
derive the linearquadratic estimator, regulator, and controller. Specifically, linearquadratic
results are typically derived using the principle of optimality and the HamiltonJacobi
Bellman equation, or using Pontryagin’s minimum principle and the EulerLagrange equation.
These mathematical tools can make linearquadratic control difficult to understand.
The objective of this project is to develop textbook material on discretetime linearquadratic
control, which can be used for a new course on multivariable discretetime control.
The principal investigator is coauthoring a textbook manuscript on linearquadratic control
for continuous time and discrete time. In contrast to other textbooks on linearquadratic
control, the principal investigator’s book adopts an algebraic approach to linearquadratic
control. This approach relies on linear algebra and undergraduate calculus to derive and
explain the fundamental results in linearquadratic control. Thus, the textbook aims to
provide a rigorous introduction to linearquadratic control without resorting to mathematical
tools that can make the material difficult to understand. This textbook manuscript will be
used in a new discretetime control course, which will be offered during the 2015to2016
academic year. While the course is intended for graduate students, the course will also be
open to advanced undergraduates.
Status  Finished 

Effective start/end date  1/1/14 → 12/31/14 
Funding
 National Aeronautics and Space Administration
Fingerprint
Explore the research topics touched on by this project. These labels are generated based on the underlying awards/grants. Together they form a unique fingerprint.
Projects
 1 Finished

National Space Grant College and Fellowship Program (Space Grant) 20102014
Smith, S. & Lumpp, J.
National Aeronautics and Space Administration
6/8/10 → 6/7/16
Project: Research project