We extend our analysis of the effects of the interplay of quantum phases and nonlinearity to address saturation effects in small quantum systems. We find that initial phases dramatically control the dependence of self-trapping on initial asymmetry of quasiparticle population and can compete or act with nonlinearity as well as saturation effects. We find that there is a minimum finite saturation...

In this chapter, three methods for synchronizing of two chaotic gyros in the presence of uncertainties, external disturbances and dead-zone nonlinearity are studied. In the first method, there is dead-zone nonlinearity in the control input, which limits the performance of accurate control methods. The effects of this nonlinearity will be attenuated using a fuzzy parameter approximator integrate...

Jones matrix computation is one of the widely used methods in nonlinearitycalculation in laser interferometers. In this paper, the nonlinearity error in developedthree-longitudinal mode heterodyne interferometer (DTLMI) has been mathematicallymodeled at various speeds, by using Jones matrix calculations. This review has been donedespite the fact that simultaneously the main factors including no...

In this paper, the problem of adaptive tracking control is addressed for a class of nonlinear systems with parametric uncertainty, unknown actuator nonlinearity and disturbance. Two type of actuator nonlinearities, that is, backlash-like hysteresis and symmetric deadzone, are considered simultaneously. Without constructing the inverse function of actuator nonlinearity, unified control framework...

Abstract: The study in this paper is motivated by the modeling of control valves with significant stiction. By assuming linear dynamics of the controlled process, the joint characterization of the control valve and of the controlled process is formulated as the identification of an extended Hammerstein system. A point-slope-based hysteresis model is used to describe the input hysteresis nonline...

Abstract: This paper addresses discrete sliding mode control of nonlinear systems. The nonlinear system is identified as a Hammerstein model firstly to isolate the nonlinearity from the sliding surface design. An MPC law is employed to design the sliding surface. Then Utkins method of equivalent control is used. The method illustrates the effect of the nonlinearity on reaching control. The ball...