Research On Interconnected Systems Control With Limited Communication

With the development of science and technology,the interconnected systems become a hot research topic in the field of control.As a special kind of control systems,the interconnected systems are comprised of several complex subsystems connected with each other,which makes the interconnected systems have the characteristics of high dimension,strong coupling and strong uncertainty.Thus,it is difficult to use the traditional control strategies for a single system to solve the stability analysis and control design of interconnected systems directly.In addition,due to the limitation of communication network bandwidth and some hardware facilities,it is important to study the interconnected systems under communication restriction.Based on the results of networked control systems,this paper investigates the stability and control synthesis problem of interconnected systems or the interconnected Semi-Markovian jump systems under communication restriction.The main research contents are as follows:(1)The observer-based finite-time control problem of the fuzzy interconnected systems with quantization and random network attacks is studied,where the control signals are quantized by a logarithmic quantizer.Firstly,considering the influence of output quantization and random network attacks,a closed-loop interconnected system model based on the fuzzy observer is constructed.Then,based on the Lyapunov functional,some sufficient conditions are presented such that the closed-loop system is stochastically finite-time stability.Meanwhile,the fuzzy observer and controller gains can be attained simultaneously with the help of LMIs.Finally,a numerical example is given to verify the effectiveness of theoretical results.(2)The observer-based security control problem of the interconnected SemiMarkovian jump systems with unknown transition probabilities is studied,where the completely unknown and uncertain bounded the transition probabilities are considered simultaneously.The proposed adaptive event-triggered mechanism can dynamically adjust the triggering threshold according to the output error to control the overall system.Firstly,considering the influence of adaptive event-triggered mechanism and random network attack on signal transmission,a closed-loop interconnected system model is constructed.Then,based on the Semi-Markovian Lyapunov functional,some sufficient conditions are presented such that the closed-loop system is stochastically stability,and the observer and controller gains are given with the help of LMIs.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.(3)The composite control problem for the interconnected Semi-Markovian jump systems with multiple disturbances and actuator faults is studied,where the state signal of each subsystem is quantized by logarithmic quantizer before being transmitted into controller.Two types of external disturbances are considered simultaneously,one is norm-bounded and the other is formulated by an exogenous system.A disturbance observer with fault-diagnosis observer is constructed to attenuate the modelling disturbance and diagnose actuator faults,and the composite quantized control methodology is proposed to compensate disturbances and faults,and stabilize the overall system.Then,based on the Semi-Markovian Lyapunov functional,some sufficient conditions are presented such that the closed-loop system is stochastically stability,and the observer and controller gains are designed with the help of LMIs.Finally,a numerical example is given to verify the feasibility of the theoretical results.