Research On Control Of Stochastic Nonlinear Systems With Time-Varying Powers

As we all known,since the powers of actual systems such as under-actuated systems and boiler-turbine units are time-varying,inspired by these practical applications,this paper discusses the controller design and stability analysis of stochastic nonlinear systems with time-varying powers.This paper mainly uses Backstepping design method,homogeneous domination design theory and It(?) differential formulas,and discusses the controller design and stability analysis procedure of stochastic nonlinear systems with time-varying powers.Some of the basic research works carried out in this paper are:This paper firstly consider the state-feedback controller design and inverse optimality controller design of stochastic nonlinear systems with time-varying powers.This research extends previous research on systems with constant powers.In this section,we first construct a state-feedback controller to ensure that the equilibrium of the closed-loop system at the origin is global asymptotic stability(GAS).Then,we redesign an inverse optimal controller to solve the problem of inverse optimal stability(IOS).Specifically,the inverse optimal controller not only ensures that the equilibrium point of the closed-loop system is globally asymptotically stable in probability,but also makes the cost function to a minimum.Finally,the effectiveness of the designed controller is verified by simulation examples.For stochastic systems with time-varying powers,the second part consider the output-feedback control when states are unmeasurable.Firstly,based on the Backstepping design method and homogeneous domination technique,by choosing the proper upper and lower bounds of the time-varying powers,we design the output-feedback controller for its corresponding nominal system.Then,by using homogeneous domination technique and designing the observer gain parameters ingeniously,we design an output-feedback controller for the complete system.The controller can ensure that the equilibrium of the closed-loop system is globally asymptotically stable in probability.Finally,the effectiveness of the output-feedback controller is verified through simulation examples.The third part discuss the stability of decentralized output-feedback of large-scale stochastic nonlinear systems with time-varying powers.Based on the backstepping design method and homogeneous domination technique,we design an output-feedback controller for the entire system.The controller can ensure that the equilibrium of the closed-loop system is globally asymptotically stable in probability.Finally,the effectiveness of the decentralized output-feedback controller is verified through simulation examples.