Abstract
AbstractThe pole placement consists of tuning the natural response of a given system. The input-output representation is convenient for engineers and thus widely used in industrial applications. For this reason, the output feedback problem is of particular interest. It is addressed here using the transfer matrix formalism given in Section 5.5.2 and the stability characterization by the notions of poles introduced in Chapter 6. We consider continuous-time systems (i.e., \(\partial\) stands exclusively for d/dt) which are supposed controllable and observable. These results allow the closed-loop control of LTV systems but also to drive nonlinear systems around a given trajectory.KeywordsNonlinear SystemTransfer MatrixPole PlacementSmith Normal FormTranscendence BasisThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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