Numerical homotopy continuation for control and online identification of nonlinear systems: the survey of selected results

The article gives an overview of the parameter numerical continuation methodology applied to setpoint control and parameter identification of nonlinear systems. The control problems for affine systems as well as general (nonaffine) nonlinear systems are considered. Online parameter identification is also presented in two versions: with linear and nonlinear nonconvex parameterization. Simulation results for illustrative examples are shown.