APPLICATION OF PONTRYAGIN'S MAXIMUM PRINCIPLE: LINEAR CONTROL SYSTEMS
Abstract
The problem of linear, continuous-time, deterministic optimal, control systems is discussed. In particular it is shown, via Pontryagin's maximum principle, that linear optimal control systems always result from the combination of (1) a linear plant; (2) integral quadratic performance criterion; and (3) no constraints on the plant input. The controller synthesis is outlined in the general time-varying case and various illustrative examples are included. A comparison of the maximum principle approach with dynamic programming and the classical calculus of variations is also included. Both driven and undriven control systems are considered. For the case where the time-interval of optimality is infinite, the stability of the optimal system is investigated. It is shown that stability is assured whenever the integral of the performance criterion is positive definite. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1962
- Accession Number
- AD0282333
Entities
People
- Giancarlo L. Collina
- Peter Dorato
Organizations
- Air Force Research Laboratory