Non-firagile Dissipative Filter Design For Networked System

Filter is used to eliminate the influence of interference on the signal in order to estimate a state or signal accurately in the case of external interference.Nowadays,the filter plays an important role in networked control systems.When information is transmitted in an infinite network with limited bandwidth,such problems as overload,data loss and so on will occur if the data is too large.Therefore,the traditional technique for designing filters is not applicable to networked systems.Dissipative filtering is the combination of H_?filtering and passive filtering and consider the gain and phase information of the signal comprehensively and has a better estimatation.In addition,the parameters of the filter will be affected by physical characteristics and environmental factors,which will cause the performance of the filter error system to decline or even become unstable.Therefore,it is of great significance to investigate non-fragile dissipative filtering of the filtering error system in networked control systems.The research contents are as follows:To investigate the networked control system with filtering gain uncertainties,sensor-to-filter multiple packet dropouts and random time delays are considered simultaneously,an approach is presented to design the non-fragile dissipative expanded-dimensional filter with gain uncertainties for the estimation task with expansion.By utilizing Lyapunov stability theory and LMI methods,a sufficient condition for the existence of the non-fragile dissipative expanded-dimensional filter is derived,which can assure the stability and dissipative performance of the filtering error system.The problem of non-fragile dissipative expanded-dimensional filter is turned into the solution of linear matrix inequalities.Finally,the non-fragile dissipative expanded-dimensional filter parameters are obtained by solving the LMI.To study the nonlinear networked control system with parameter uncertainties,both sensor-to-filter random one-step time delays and multiple packet dropouts are considered simultaneously,an approach is presented to design the non-fragile dissipative full-order filter.By constructing appropriate Lyapunov functions and utilizing linear matrix inequality methods,a sufficient condition for the existence of the non-fragile dissipative full-order filter is derived,and then the parameters of the non-fragile dissipative full-order filter can be obtained by solving the matrix inequality.The proposed filter is non-fragile,which can assure the stability and dissipative performance of the filtering error system.To investigate the nonlinear networked control system with parameter uncertainties and quantification error,both sensor-to-filter random one-step time delays and multiple packet dropouts are considered simultaneously,an approach is presented to design the non-fragile quantified dissipative filter by adopting static quantizer.By constructing appropriate Lyapunov functions and utilizing linear matrix inequality methods,a sufficient condition for the existence of the non-fragile quantified dissipative filter is derived,which can assure the stability and dissipative performance of the filtering error system.The expressions of non-fragile quantified dissipative filter is adopted by solving LMI.The proposed filter can assure the stochastic stability and dissipative performance of the filtering error system.Numerical simulations are given to verify the availability and feasibility of the proposed method at the end of each research.