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Robust analysis and design for nonlinear systems using exact linearization method

Bing Cheng, University of Massachusetts Amherst


In this thesis, investigation of robust stability properties for certain nonlinear systems via exact linearization is presented, and guidelines for designing a robust controller are provided which guarantee the system stability under certain system perturbations, disturbances, and performance requirements. Comparisons of robustness analysis and design between linear and nonlinear feedback systems are presented. The robust stability conditions for nonlinear feedback systems when the uncertainties occur at various points in the original nonlinear system are obtained from Lyapunov stability analysis. Using conic sector analysis to analyze the nonlinear robustness properties, time domain constraints on nonlinearity of a system is related to frequency domain constraints on the transformed linear system. Gain margins for gain perturbations of the control effectiveness in the nonlinear system are developed. The bounds on the perturbations which the feedback system can tolerate are given as robust stability conditions.

Subject Area

Electrical engineering

Recommended Citation

Cheng, Bing, "Robust analysis and design for nonlinear systems using exact linearization method" (1992). Doctoral Dissertations Available from Proquest. AAI9219418.