Stability Analyses of Nonlinear Multivariable Feedback Control Systems
نویسنده
چکیده
In this paper, a practical limit cycle predicting method is proposed for analyzing stability of nonlinear multivariable feedback control systems. The stable limit cycle of the considered system is found first by six criteria for unity loop gains, and then the stability is evaluated for variable loop gains. It needs only to check maximal or minimal frequency points of root-loci of equivalent gains for finding a stable limit cycle. The stability of the considered system can be classified by asymptotically stable, limit cycle and unstable regions in the parameter plane or space. The constant limit cycle loci or plane can be used as boundaries between them. Two 2x2 and two 3x3 nonlinear multivariable feedback control systems are presented to show the application of the proposed method. Calculated results are verified by digital simulations. Key-Words: Limit cycle predictions, Stability analysis, Nonlinear multivariable feedback control system
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