| The operation system and interaction mechanism of nonlinear dynamic system become more and more complex.Therefore,human beings put forward more expectations and requirements for the diversity function and intelligent level of the system.At the same time,due to the differences of system dynamics environment,energy,respectively,and the complexity of the mechanical structure of the controlled object(process)is also becoming more and more complex,thus,the controlled system performance is often complicated nonlinearity,uncertainty and time delay,actuator or sensor failures,state measurement to represent characteristics of complexity.Therefore,the research and design of the system control scheme have a higher standard.It is expected that the designed control scheme can make the system quickly become stable,which can not only maintain the control performance of the system,but also ensure the safe operation of the system.Based on the research status of nonlinear dynamic control system,this topic will further improve the fuzzy sampled-data control method and expand its application,in order to achieve the goal of simple and practical control scheme and reduce the conservatism of algorithm,make the system stable,high operation efficiency,simple and flexible operation,and provide reliable feasibility control for nonlinear dynamic system control scheme and effective control strategy.The framework of this paper is as follows:1.Research on fuzzy H2/H?sampled-data control for nonlinear dynamical systems with time delayIn this chapter,the problem of fuzzy sampled-data H2/H?control for a class of nonlinear dynamical systems with time delay is studied.The synthesis and stability analysis of fuzzy H2/H?sampled-data control for dynamic systems with time delay are studied by using the input delay method.Based on Lyapunov-Krasovskii stability theory,a new H2/H?criterion is proposed,and a fuzzy sampled-data controller is designed to guarantee both H2and H?performance.The design principle of the controller is verified by two examples.Experimental results show that H2/H?sampled-data control has better performance.2.Study on fuzzy Sampled-data H?control for nonlinear time-varying delay dynamical systemsThe problem of sampled-data H?control for nonlinear fuzzy systems with time-varying delay is studied.Takagi-Sugeno(T-S)fuzzy model is used to describe the system.According to Lyapunov-Krasovskii stability theory,a fuzzy sampled-data H?control algorithm is obtained.In addition,by using linear matrix inequalities(LMIs),some sufficient conditions of the controller are obtained,which make the H?performance decay to the specified level and make the fuzzy closed-loop system stable.The mechanical system is taken as an example to prove the feasibility of the design scheme.3.Research on fuzzy sampled-data optimal control for nonlinear time-varying delay dynamical systemsThe fuzzy sampled-data optimal control problem of a class of nonlinear dynamical systems with time-varying delay behavior is studied.Based on Lyapunov-Krasovskii stability theory,some new stability criteria are established.In order to ensure the asymptotic stability of the fuzzy closed-loop sampled-data control system,an efficient and feasible controller is designed.The results show that the conclusions are less conservative in stability analysis.Two examples of truck trailer system simulated by computer and continuous stirred tank reactor system are given to illustrate the superiority and feasibility of the design.4.Interval type-2(IT2)fuzzy sampled-data H?control for nonlinear and unreliable dynamical systemsThe problem of IT2 fuzzy sampled-data H?control is studied for nonlinear systems with parameter uncertainty and stochastic communication.The nonlinear system is modeled as T-S fuzzy structure,and the upper and lower membership functions are used to capture the uncertainty of parameters effectively.By making full use of LMIs and free weighting matrices,the sampled-data controller is designed to keep the fuzzy closed-loop system asymptotically stable and satisfy the H?performance index.Taking the inverted pendulum system as an example,the applicability and superiority of IT2fuzzy sampled-data control design are demonstrated.5.Research on IT2 fuzzy sampled-data optimal control for nonlinear and unreliable systemsThe problem of IT2 fuzzy sampled-data optimal control is studied.Considering the nonlinearity,parameter uncertainty and data loss of the controlled system,IT2 fuzzy system is used to describe it.Based on Lyapunov-Krasovskii stability theory,a superior control scheme based on LMIs is obtained by using the free weighting matrix method.In addition,the IT2 sampled-data fuzzy controller is designed to keep the fuzzy closed-loop system asymptotically stable and meet the optimal control performance index.The effectiveness of the fuzzy control scheme is fully verified by the simulation experiment of inverted pendulum system. |
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