This chapter introduces nonlinear dynamical systems, the existence and uniqueness of their solutions to specified initial conditions and their stability analysis. Established techniques of nonlinear stability analysis can be classified into input‐output transfer operators and state‐space‐based Lyapunov theorems. The focus is on aeroservoelastic (ASE) design by adaptive techniques. The chapter discusses the basic concepts of nonlinear stability analysis and Lyapunov‐based control design. Most ASE applications involve time‐invariant (autonomous) systems, which must be maintained in equilibrium near a constant operating condition. This control application is referred to as set‐point regulation. The Lyapunov theorem gives a test of asymptotic stability without the necessity of solving the system's state equations, and is thus a powerful tool in nonlinear control design.


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    Title :

    Nonlinear Systems Analysis and Design


    Contributors:

    Published in:

    Publication date :

    2016-04-04


    Size :

    21 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




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