A TUTORIAL INTRODUCTION TO NONLINEAR DYNAMICS AND CHAOS, PART 11: MODELlNG AND CONTROL

This is the second and final parI. of a series of two papers on nonlinear dynamics and chaos. In the first parI some tools. developed for analysing nonlinear systems, were c!esniiJec! in conjunction with a seI. of moc!els commonly llsed as benchmarks in the literature. This papel' investigates a llllIllber of isslles concerning the modeling, signal processillg anel control of nonlinear e1ynamics. This is carrieel ou! llsillg tbe tools and 1D0elels described in the first papel'. This inwstigation has th1'Own some new light on relevant p1'Oblems such as modeI parametrization, modeI validation. data smoothing anel control of nonliear systems. These issues are inwstigated using NARMAX polynomial modeIs but it is believed that the conclusions are relevant to nonlinear represelltaJiolls in general. Some numerical examples are includecl.