State-Dependent Transfer Functions, a New Approach to Output Feedback Control Design for Input-affine Nonlinear Systems

Talk Abstract. Transfer functions are very powerful dynamic system analysis and design tools for Linear Time-Invariant (LTI) systems. This is a class of systems with input-output equations that are described using linear constant coefficient differential equations (DEs). These DEs are time-domain equations that in frequency domain are transfer functions obtainable by Laplace transform, or equivalently by replacing the time derivative operator with the complex frequency variable. The resulting transfer function is a rational polynomial in the complex frequency variable. Nonlinear systems, on the other hand, are not so described. The DEs for nonlinear systems, in general, have state- and input-dependent coefficients, rather constant coefficients. My interest and emphasis on the transfer function stems from the fact that there is a very simple and well-proven method for designing a transfer-functions-based output feedback control system; the frequency domain lead and/or lag compensation. Therefore, in this talk, I will demonstrate that, this approach can also be applied to a class of input-affine nonlinear systems. For these systems, the model will be known as the State-Dependent Transfer Functions (SDTF). This is a new perspective that actually sees this class of nonlinear systems as a family or a continuum of LTI systems in their state spaces. This SDTF approach to control-affine nonlinear systems and the output feedback control method applicable are the subject of this talk.

Speaker(s): Roger, , Roger,

Location:
Room: 240
Bldg: Electrical Engineering
94 Brett Road,
Busch Campus, Rutgers University
Piscataway, New Jersey
08854