Title :
A general Riccati equation solution to the deadbeat control problem
Author_Institution :
Georgia Institute of Technology, Atlanta, GA, USA
fDate :
2/1/1982 12:00:00 AM
Abstract :
It is well known that the state of a controllable system can be driven to zero in minimum time for arbitrary initial condition by the time-varying Kalman gain sequence computed via a singular Riccati equation. This paper shows how a constant (deadbeat control) feedback which will accomplish the same result in the same minimum time can always be found via the same Riccati equation.
Keywords :
State-feedback, linear systems; Time-optimal control, linear systems; Control systems; Controllability; Feedback; Matrix decomposition; Motion control; Nonlinear systems; Null space; Riccati equations; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1982.1102864
