AbstractIn this paper, a new methodology for control of nonlinear unstable multivariable systems is developed. The method involves stabilization of the nonlinear plant followed by generation of sinusoidal input describing function (SIDF) models of the stabilized closed-loop system. With the known SIDF model of the closed-loop system and the known stabilizing controller, the model of the unstable nonlinear multivariable system is extracted; then a controller for the model is designed. Finally, the design is verified by simulation. Stability is demonstrated by successful generation of SIDF models of the designed closed-loop system for various amplitudes of excitation. The method is applied to a two-input/two-output (TITO) model of a nonlinear unstable robotic arm, and the results are compared with an alternative approach.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    New Methodology for Control of Nonlinear Unstable Multivariable Systems


    Contributors:

    Published in:

    Publication date :

    2016




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.50 Luftfahrzeugtechnik / 51.40 Werkstoffe für bestimmte Anwendungsgebiete / 55.60 Raumfahrttechnik
    Local classification TIB:    770/7040




    Control of nonlinear multivariable systems

    Lindorff, D. P. | TIBKAT | 1967


    Transputer-control of nonlinear multivariable systems

    Sinha, P.K. / McLagan, N.S. | Tema Archive | 1993


    Multivariable R2M2 methodology

    Prempain, E. / Bergeon, B. | British Library Online Contents | 1995


    Multivariable Isoperformance Methodology for Precision Opto-Mechanical Systems

    de Weck, Olivier / Miller, David / Mosier, Gary | AIAA | 2002