An approach to the design of nonlinear state-space control systems

Abstract

This paper proposes a cost-effective approach to the design of nonlinear state-space control systems. The approach is supported by a geometrical illustration of systems evolution in the state space, by the Lyapunov's direct method, the native behaviour of the controlled process, and the desired system matrix. The method is exemplified through the medium of a realworld process represented by the pendulum-cart system laboratory equipment.