Synchronous Stabilization Study Of Random Port Controlled Hamiltonian Systems With Channel Attenuation

With the rapid development and mutual integration of computer technology,wireless communication and control science,networked systems have been widely used in aerospace,industrial automation,intelligent transportation and national defense.At the same time,due to the consumption of the communication channels itself and the stochastic disturbance,and the change in amplitude of the signals,the signals will suffer from fading channel phenomenon in the transmission process,which can lead to the performance degradation and instability of systems.In recent years,a series of important achievements have been made in the control of nonlinear systems in fading channel environment.Among them,the control and stability problems of port-controlled Hamiltonian(PCH)systems are research hotspots.As we all know,PCH systems have attracted much attention because of its special structure and clear physical meaning.The Hamiltonian function represents the sum of kinetic energy and potential energy,and is regarded as a Lyapunov candidate function,which brings great convenience to the stability analysis and control research of systems.In addition,stochastic disturbances such as measurement noise inevitably exist in PCH systems.The simultaneous control of stochastic PCH systems is always based on non-networked environment,and the researches of simultaneous control for stochastic PCH systems in network environment face unprecedented challenges.Based on this,this paper studies the simultaneous stabilization problem for stochastic PCH systems over fading channels.The research contents of this paper are summarized as follows:In this paper,the simultaneous stabilization problem for stochastic PCH systems over fading channels is studied.The specific content is as follows:1)The finite-time simultaneous stabilization for stochastic PCH systems over delayed and fading channels is studied.For two stochastic PCH systems,an output feedback controller is designed to realize simultaneous stabilization.The feedback control signal suffers from fading channels and network-induced delay during transmission process.Based on system-augmentation technique and Lyapunov function method,some sufficient conditions for finite-time simultaneous stability of the closed-loop system are obtained.Then,the above methods are applied to multiple systems,and the simultaneous stabilization results of multiple stochastic PCH systems are obtained.Finally,a simulation example verifies the validity of the conclusion.2)The simultaneous exponential stabilization for stochastic PCH systems with fading channels,delays and actuator saturations is studied.For multiple stochastic PCH systems with fading channels,delays and actuator satu-rations,a simultaneous stabilization output feedback controller is proposed to realize the simultaneously exponentially mean-square stability of the closed-loop system.Based on the structure and saturation property of the dissipative Hamiltonian systems,the sufficient conditions for simultaneous stabilization are obtained by using Lyapunov function method and stochastic analysis technique.Then,for stochastic PCH systems with external disturbance,the L2 disturbance attenuation results are given.Finally,a multi-helicopter test flight simulation example verifies the validity of the conclusion.