Output regulation of nonaffine nonlinear systems using singular perturbation theory

Key words:  Output regulation  Singular perturbation  Nonaffine nonlinear system  Dynamic inversion

摘要:

Abstract:

A control synthesis method for output regulation based on singular perturbation theory combined with inverting design is considered for a class of nonaffine nonlinear systems. The resulting control signal is defined as a solution to “fast” dynamics which inverts a series error model, whose state is exponentially stable. It is shown that, under sufficient conditions being consistent with the assumptions of singular perturbation theory, this problem is solvable with (") tracking error if and only if a set of first-order nonlinear partial differential equations are solvable. The control law can be easily constructed and the simulations show the feasibility and effectiveness of the controller.