Intelligent Control Of Pure Feedback Stochastic Nonlinear Systems Without Triangular Form

The analysis and control of nonlinear systems is always a hot research topic in the field of control,because the actual engineering systems are often non-linear in nature.The pure feedback stochastic nonlinear system is a kind of more extensive nonlinear system,which takes into account the nonaffine structure of the actual system and the random disturbance of the external environment.So the analysis and control of pure feedback stochastic nonlinear system is a challenging subject in both theory and practice.In view of this,this paper mainly studies the adaptive output tracking control of a pure feedback nonlinear system with random perturbation.The main research results are as follows:1.For the non-lower triangular structure pure feedback stochastic nonlinear system,the fuzzy adaptive control output tracking problem is considered.In this paper,the mean value theorem is applied to solve the problem of non-affine structure of the control system.The proposed controller guarantees that all signals of the closed-loop system are globally bounded,and the system output converges to a sufficient small neighborhood of the given reference signal.Finally,the simulation results verify the effectiveness of the control scheme.2.The direct adaptive fuzzy control problem for a class of non-affine random nonlinear systems with time delay is studied.The design difficulties in unknown nonlinear and non-affine structures are overcome by using fuzzy logic system and mean value theorem.A direct adaptive fuzzy control method is proposed based onadaptive control and backward recursive design framework.Through lyapunov theory analysis,the proposed controller can ensure that all signals in the closed-loop system are bounded,and the system output signals can track the given reference signals well.Simulation results show the effectiveness of the proposed control scheme.