Linear parameter-varying control: Difference between revisions

Revision as of 14:23, 5 December 2017

Revision as of 16:58, 19 December 2017

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::<math>\dot{x} =f(x(t),w(t),\dot{w}(t),u(t))</math>

The parameter <math>w</math> is not known but its evolution is measured in real time and used for control. If the above equation of parameter dependent system is linear in time then it is called [[LINEAR|Linear]] Parameter Dependent systems. They are written similar to [[LTI system theory|Linear Time Invariant]] form albeit the inclusion in time variant parameter.

::<math>\dot{x}=A(w(t))x(t)+B(w(t))u(t)</math>