Passive Control of Lorenz Chaos System with Nonlinear Virtual Contraction Analysis

Abstract

In order to pave the way for the exploration of Lorenz chaos system control, one kind of observer which was based upon nonlinear virtual contraction analysis was suggested, and on account of that, states of the Lorenz chaos system can be made available via just the single variable output. And thereafter, passive control of Lorenz chaos system was made possible under auspices of the available observed states of the Lorenz chaos system. Results demonstrated that, the expected phase points as well as the origin targeting in helps of passive control can be made possible, and the expected phase point targeting was not like that reported in the already published literature. In comparison with the Lorenz chaos system control with full states, our assumption is much more near the reality, and when compared with the other state observer, the nonlinear virtual contraction analysis method suggested here is much more simple, and from the view point of the fusion of passive control, nonlinear virtual contraction analysis observer, the configuration of the control action is also different from the already existing results, so the specified phase points targeting can also be new, thus, the targeting phase zone can be flexible, which is promising for the potential usage of chaos systems.