Synthesis of Optimized Piecewise-Linear Systems Using Similarity Transformation. Part III: Higher-Order Systems

Abstract

State models of dynamical systems used as prototypes in their practical realization are optimized from the viewpoint of minimum eigenvalue sensitivities with respect to the change of the individual parameters. In the paper the previously published optimization design procedure for the second-order linear and piecewise-linear (PWL) autonomous dynamical systems [2] is extended also for the higher-order systems. Results obtained give the possibility to realize the third-order basic chaotic or the fourth-order hyper-chaotic oscillators.