Transforming non-autonomous systems to p-normal forms: an approach to reduce the computation loads of cyber-physical Systems

A key purpose of studying the problem of equivalence between two control systems is to transform a complex nonlinear system to a simple system whose controller is easy to realize real-time response in cyber-physical systems. Using the theories of singular distributions, necessary and sufficient conditions under which single-input non-autonomous systems are feedback equivalent to non-autonomous low-triangular systems. Moreover, we presented a necessary and sufficient condition under which single-input non-autonomous systems are feedback equivalent to non-autonomous p-normal forms, which are special cases of low-triangular systems. Two examples are given to illustrate how to realize those equivalent transformations via state feedback and coordinate transformation.