H_? Filtering And Control Of Time-delayed Hamiltonian Systems Under Channel Attenuation

For practical systems,the stability of the system is the key to ensure that the system can operate safely and efficiently.Under this kind of application background,we consider the Hamiltonian system with the clear system structure and the explicit physical meaning.Uti-lizing its unique properties and using the Hamiltonian as the energy function of the system,it can directly reflect the internal structure and dynamic characteristics of the system.Due to the inevitability of time delay,the stability and control of delayed Hamiltonian systems has become a hot topic in recent years.On the other hand,with the rapid development of network communication technology,many estimation and control problems depend on the communication network,in which the measurement signal plays a key role.However,due to the influence of the quality of transmission media,the phenomenon of channel attenuation occurs frequently.Therefore,it is of practical significance to study the problems of filtering and control with incomplete channel information.In this paper,the estimation and control of delay Hamiltonian systems with fading channel are considered,mainly including:?1?H_? filter design for a class of delayed Hamiltonian systems with fading channel.We consider a class of time-delayed Hamiltonian systems with communication signal attenuation and saturation,and studies itsH_?filter design problem.A network sensor model with fading channel and sensor saturation is constructed,and aH_?filter model is established to solve the state estimation problem for a class of continuous-time Hamiltonian systems.Some sufficient conditions are proposed to obtain effective filter gain and achieve theH_?performance for the augmented system consisted of the Hamiltonian system and the filter.Finally,two simulation examples verify the feasibility of the conclusion.?2?Observer-basedH_?control for a class of delayed Hamiltonian systems over fading channels.For a class of delay Hamiltonian systems with wireless network induced channel attenu-ation,theH_?control problem based on observer is studied.Considering the sensor model with channel attenuation.The observer gain matrix and the controller coefficient matrix can be obtained by solving a linear matrix inequality.Some sufficient conditions are established to guarantee the augmented system satisfies?₂gain output stability under the zero-initial condition.Finally,two simulation example is given to demonstrate the effectiveness of the proposed results.