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Exactly Realizable Trajectories

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Optimal Trajectory Tracking of Nonlinear Dynamical Systems

Part of the book series: Springer Theses ((Springer Theses))

Abstract

This chapter introduces the notion of exactly realizable trajectories. The necessary formalism is established, and after the definition of exactly realizable trajectories, the linearizing assumption is introduced. This assumption defines a class of nonlinear control systems which, to a large extent, behave like linear control systems. Combining the notion of an exactly realizable trajectory with the linearizing assumption allows one to extend some well known results about the controllability of linear systems to nonlinear control systems. After a discussion of output realizability, the chapter concludes with a discussion and outlook.

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Authors and Affiliations

  1. Institute for Theoretical Physics, EW 7-1, Technical University of Berlin, Berlin, Germany

    Jakob Löber

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  1. Jakob Löber
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Löber, J. (2017). Exactly Realizable Trajectories. In: Optimal Trajectory Tracking of Nonlinear Dynamical Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-46574-6_2

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