Sliding Mode Control Of Networked Discrete Markov Jump Systems Under Several Communication Constraints

In recent decades,with the continuous breakthroughs in control theory and communication technology,and sensors and actuators have become increasingly intelligent,which promote the continuous innovation of networked control systems(NCS).At the same time,along with the rapid development and increasing demand of power systems,aerospace systems and manufacturing industries,the application of Markov jump system theory to the networked control of the above systems has attracted more and more attention from scholars.However,due to the limited network transmission capacity in the NCS,delays,collisions,congestion and other phenomena are always inevitable.In addition,the system is susceptible to internal and external nonlinear disturbances,so the system may not be able to process massive amounts of data in real time,resulting in performance degradation.Moreover,the NCS connects different spatially distributed components through a shared network,which brings convenience and safety hazards.Based on the above situation,it is worth paying attention to how to establish a reasonable sliding mode control(SMC)scheme to achieve the ideal control effect for the networked Markov jump system under different communication constraints.The specific content of this paper is as follows:Firstly,a quantized output feedback SMC strategy is proposed based on round-robin(RR)protocol for networked delayed Markov jump systems with uncertain,stochastic perturbation and matching nonlinearity.In order to improve the utilization of network resources,an improved dynamic uniform quantizer is adopted,and a sliding surface is designed based on the quantized measurement output.Additionally,the RR protocol is introduced to reduce data collisions,and a mode-dependent sliding mode controller is constructed using protocol scheduling signals.Furthermore,the criterion to ensure the reachability of the state trajectory is proposed.The effectiveness of the protocol-based SMC method is demonstrated by two simulation examples.Secondly,for the networked time-delay Markov jump system with bounded noise and unknown bounded nonlinearity,the influence of modal detection asynchronous and actuator saturation are considered.The hidden Markov model is used to describe the modal information exchange between the system and the designed controller,and the asynchronous sliding surface is designed.In addition,the sufficient condition for the random finite time boundedness of the sliding mode is given.Moreover,in order to mitigate the effect of actuator saturation and chattering on the control performance,an adaptive output feedback sliding mode controller with auxiliary saturation compensation is designed.A numerical example is given to illustrate that the proposed control method can effectively suppress disturbance and compensate saturation.Thirdly,the effects of dead-zone input nonlinearity and aperiodic denial of service(Do S)attacks are considered in the Markov jump system with uncertainties and nonlinear disturbances.In order to prevent Do S attacks from degrading system control performance,a non-fragile observer is designed to compensate for the lost signals.Further,the sliding surface is designed based on the observer.Then,combining the attack frequency and attack duration,the sufficient condition of the mean-square exponential stability of the sliding mode is given.At the same time,in the presence of the dead-zone input,an effective resilient sliding mode controller is designed.The design method of observer gain matrix and sliding mode parameter matrix is given,and verified by numerical simulation.