The Effects of Interval Uncertainties and Dynamic Analysis of Rotating Systems with Uncertainty

Abstract

The idea of dynamical systems has been driving the technological explosion since the turn of the 20th century. Scientific and engineering disciplines have greatly advanced as a result of dynamical systems research studies. As a result, numerous significant and intriguing findings regarding the stability and stabilization of dynamical systems have been reported by research communities. System uncertainties, time delay, external disturbances, and system nonlinearities are some of the major elements that impact the dynamical system's stability. It should be mentioned that providing an exact mathematical model representation is not always feasible when simulating real-world systems. The mathematical model and the real-world systems might differ or contain some errors. System uncertainties are a common term used to describe these errors. A set of mathematical equations that describe a real-world system with some known errors are then modified to produce the desired result. A controller design may be used exclusively, depending on the known factors and the complexity or simplicity of a control system problem. Actuator failures are one of the most crucial parts of a control system since they can impair the system's functionality. Actually, the assumption that the actuators are either normal or in good condition forms the basis of the majority of intriguing studies. As a result, designing a controller for dynamical control systems that maintains the closed-loop system's performance and stability even when all of its control components are in good working order is a major task.