Feedback linearization: Difference between revisions

Revision as of 19:35, 11 March 2023

Revision as of 13:04, 15 April 2023

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An outer-loop control strategy for the resulting linear control system can then be applied to achieve the control objective.

== Feedback Linearizationlinearization of SISO Systemssystems ==

Here, consider the case of feedback linearization of a single-input single-output (SISO) system. Similar results can be extended to multiple-input multiple-output (MIMO) systems. In this case, <math>u \in \mathbb{R}</math> and <math>y \in \mathbb{R}</math>. The objective is to find a coordinate transformation <math>z = T(x)</math> that transforms the system (1) into the so-called [[Normal form (abstract rewriting)|normal form]] which will reveal a feedback law of the form