Controle multivariavel : superficies de Riemann, diagrama de ganho e analise no espaço de frequencias

AUTOR(ES)

Carlos Mendes Richter

DATA DE PUBLICAÇÃO

1997

RESUMO

This work deals with monovariable and multivariablecontrol systems analysisthrough Riemann surfaces. It is shown that a complete Riemann surface representation has dimension four, and new representations are presented in two-dimensional and three-dimensional plots. Generalizations ofthe existing representations, like root-Iocus, gain plots, Nyquist, Bode and Nichols diagrams, are proposed. New phase and gain margin determination methods are proposed for monovariable systems, and the concepts are extended to the multivariable case using the generalized Nyquist stability criterion. For both monovariable and multivariable cases, it is shown that gain and phase margins can be determined directly over several Riemann surface representations for several values of negative or positive feedback gains using an unique approach. New stability margin plots, functions of negative or positive feedback gain, are established, which are new aiding tools for analysis and synthesis of feedback control systems

ASSUNTO(S)

superficies de funções (matematica) analysis (mathematics) riemann surfaces riemann

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