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Reference.org
Dead-beat control
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<p>In discrete-time <a href="/facts/Control_theory/aIuERpn6">control theory</a>, the dead-beat control problem consists of finding what input signal must be applied to a system in order to bring the output to the steady state in the smallest number of time steps. </p><p>For an <i>N</i>th-order linear system it can be shown that this minimum number of steps will be at most <i>N</i> (depending on the initial condition), provided that the system is null controllable (that it can be brought to state zero by <i>some</i> input). The solution is to apply <a href="/facts/Feedback/XnuWH3zp">feedback</a> such that all poles of the closed-loop transfer function are at the origin of the <a href="/facts/Z-transform/ERNvDJqt"><i>z</i>-plane</a>. This approach is straightforward for linear systems. However, when it comes to nonlinear systems, dead beat control is an open research problem. </p>