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Envelope methods - the Popov and circle criteria for graphical analysis of a single feedback loop containing a nonlinear element

Envelope methods - the Popov and circle criteria for graphical analysis of a single feedback loop containing a nonlinear element

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This chapter is concerned with stability analysis of the loop. The two methods to be described enclose the nonlinearity in a linear envelope. The linear envelope rather than the particular nonlinearity is then used in the subsequent analysis. Such an approach naturally leads to sufficient but not necessary stability conditions.

Inspec keywords: feedback; nonlinear control systems; stability; Popov criterion

Other keywords: Popov criteria; envelope methods; single feedback loop; stability analysis; nonlinear element; linear envelope; circle criteria

Subjects: Nonlinear control systems; Stability in control theory

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