Abstract
Coordinates transformation is a fundamental tool for nonlinear system control. Particularly, the transformation is also applied to state constrained problems. This paper investigates a coordinates and input transformation method, and proposes a new transformation method named “system revival transformation.” The system revival transformation generates a virtual system having the same state equation as an original system. By the proposed transformation, a controller for state constrained systems can be designed by using a controller for unconstrained systems. For general nonlinear systems, the paper provides a mathematical definition of the system revival transformation and proves global asymptotic stability. Moreover, a system revival transformation design method is also presented for control affine nonlinear systems. The effectiveness of the system revival transformation is confirmed through a stabilization problem of a two-wheeled mobile robot.
