Feedback linearization: Difference between revisions

Revision as of 00:48, 30 March 2024

Revision as of 01:00, 30 March 2024

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</math>

|{{EquationRef|7}}}}

linearizes this <math>i</math>'th system. However, if <math>m>1</math>, <math>\mathbf{u}</math> can obviously not be solved fromgiven a value for <math>v_i</math> since its an underdetermined set of equations. SettingHowever, setting up such an equation for all <math>m</math> outputs, <math>y_1,y_2,\ldots,y_m</math>, however results in <math>m</math> equations of the form shown in Eq. 7. Combining these equation results in a matrix equation, which generally allows solving for the input <math>\mathbf{u}</math>, as is shown below.

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<math>

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</math>

|{{EquationRef|8}}}}

== See also ==