Output Feedback Control Design For Stochastic Nonlinear And Time-Delay Systems Based General Growth Conditions

In recent years,the problem of output feedback controller design for complex systems has been attracting more and more attention since it has important theoretical and practical significance.This thesis focuses on output feedback controller design problem for several classes of complex systems under a variety of factors in nonlinear,stochastic and time delay effect with the stability theory of stochastic systems and some controller design tools.The detailed design processes are given and the effectiveness of the control schemes are illustrated by numerical examples and practical application examples.The main content of this thesis consists of five parts.(1)Output feedback control for a class of stochastic nonlinear systems with power growth conditions.This chapter investigates a class of stochastic nonlinear systems where the nonlinear terms depend on unmeasurable states and measurable input.We extend linear growth conditions to power growth conditions.By choosing a high gain parameter,an output feedback controller is designed to ensure the closed-loop stochastic nonlinear system globally asymptotically stable in probability.Furthermore,the problem of inverse optimal stabilization in probability is solved.The results of this chapter generalize the existing achievement and make the applicable scope of the output feedback controller more generalization.Finally,a simulation example is provided to illustrate the efficiency of the control scheme.(2)Practical tracking control by output feedback for a class of stochastic nonlinear systems with polynomial function growth conditions.This chapter mainly focuses on output feedback tracking controller design for a class of stochastic nonlinear systems with polynomial function growth conditions.Mostly,there are some studies on output feedback tracking control problem for nonlinear systems with polynomial function growth conditions in existing achievements.Moreover,we extends it to stochastic nonlinear systems and constructs output feedback practical tracking controller based on dynamic and static phase combined,ensuring that the system tracking error can be made arbitrarily small after some large enough time.Finally,a simulation example is provided to illustrate the efficiency of the theoretical results.(3)Practical tracking control by output feedback for a class of stochastic nonlinear systems with parametric uncertainty and polynomial function growth conditions.This chapter extends the controlled systems to a class of stochastic nonlinear systems with parametric uncertainty based on the work of last chapter.Due to the presence of unknown parametric uncertainty,a output feedback practical tracking controller with dynamically updated gains is constructed explicitly so that all the states of the closed loop systems are globally bounded and the tracking error belongs to arbitrarily small interval after some positive finite time.A numerical example illustrates the efficiency of the theoretical results.(4)Output feedback control for a class of stochastic nonlinear time-varying delay systems with power growth conditions.In this chapter,we focus on a class of stochastic nonlinear time-varying delay system by introduction of time-varying delay factor and set this system for power growth conditions.By using stability criterion for stochastic nonlinear time-delay systems and choosing appropriate Lyapunov functions,an output feedback controller is designed.A simulation example is provided to demonstrate the efficiency of the output feedback controller.(5)Output feedback control for a class of stochastic high order nonlinear time-varying delay systems.In this chapter,the output feedback control problem is addressed for a class of high order stochastic nonlinear time-varying delay systems.We set this system for power growth conditions.Different from existing papers,we replace the high order index from constant value to varying value in order to allow the result to apply to the more general situations.The stabilization of high order stochastic nonlinear time-varying delay systems under the effect of output feedback controller is illustrated by a simulation example.Finally,the thesis is summarized and further research work is pointed out.