Research On Sliding Mode Control Of Several Types Of Complex Systems

Everyone knows that modern control theory is exceedingly important in many signories,and sundries methods of control theory research have vastly facilitated the advance of modern science and technology,and aroused the attention of many scholars and experts.There are universal random factors in the actual system.Therefore,it is necessary to model the system from different perspectives according to the actual control problem,for example,the Markov jump system model,the generalized system model,and so on.On the other hand,sliding mode control(SMC)is undeniably a very effective and frequently used control method.Scholars have investigated many sliding mode control problems for different systems.Based on the current deficiencies in the research on sliding mode control of complex systems,this article will focus on the Markov Jump System(MJS)and Fractional Order System(FOS)to study the following:1.Combined with the SMC method,the application of the Singular Random Markovian Jump System(SSMJS)in the bio-economy is studied,and the goal of stable biomass and relatively small cost is implemented.Firstly,by taking the inherent growth rate of immature species as Markov chain,and describing the system with the Takagi-Sugeno(T-S)fuzzy model,the bio-economy SSMJS was established.Additionally,a suitable sliding surface is proposed,and a set of sufficient conditions are used to ensure the random admissibility of fuzzy SSMJS based on the overall sliding surface.Then,the SMC law is proposed to make the sliding surface meet the accessibility condition.Ultimately,two simulations of eel seedling breeding are used to revealed the effectuality of the method.2.The design of the sliding mode observer(SMO)is studied,about the generalized FOS with a fractional order of 1??<2 described by the T-S fuzzy model.Initially,for the T-S fuzzy generalized FOS,an SMO is engineered by utilizing a fuzzy integral sliding surface.And a new sufficient condition to undertake the admissibility of sliding mode dynamics is given according to the linear matrix inequality.Additionally,the reachability conditions are guaranteed by an adaptive SMC strategy.Ultimately,the effectuality of the introduced method is revealed by a simulation.3.The H? sliding mode control of FOS with fractional order 0<?<1 with uncertainty is studied.Initially,a suitable integral sliding mode surface is proposed,and a new set of sufficient conditions are given.It undertake the stability of the sliding mode dynamic system with H performance.And all the parameter matrices in the fractional integral sliding surface can be determined.Then,the SMC law is proposed to make the sliding surface meet the accessibility condition.Ultimately,the effectuality of the introduced method is revealed by a simulation.