Time-domain matrix analysis of nonlinear hybrid control systems

Abstract

The paper describes a numerical method using time-domain matrixes for evaluating the response of nonlinear discrete-continuous systems to deterministic inputs. The concept of generating matrixes introduced in the paper provides a powerful tool for the analysis of such systems. The method may be applied to systems containing continuous elements of any order, discrete elements of any order, synchronous skip or multirate samplers and multiple nonlinearities of any order associated with zero-order hold elements. Numerical examples of the step response of a prototype system subject to amplitude constraints are given.