On the general solution of the state deadbeat control problem
Copyright policy )On the general solution of the state deadbeat control problem
Summary: In this note, the state deadbeat control problem is considered. It is shown that, after appropriate change of basis of input and state space, the general solution of the state deadbeat control problem can be expressed completely by the rows of the powers of the system matrix. This result yields a very simple procedure for the calculation of a state feedback deadbeat control gain. It also provides the number of free parameters which could be used for further design purposes. The results are illustrated by an example at the end of the note.
state deadbeat control problem, Discrete-time control/observation systems, speed of convergence, computation of constant gain, discrete-time system, Feedback control, Computational methods in systems theory, Synthesis problems
state deadbeat control problem, Discrete-time control/observation systems, speed of convergence, computation of constant gain, discrete-time system, Feedback control, Computational methods in systems theory, Synthesis problems
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