State Estimation for a Class of Distributed Parameter Systems with Time-Varying Delay over Mobile Sensor–Actuator Networks with Missing Measurements

This work proposes a state estimation strategy over mobile sensor–actuator networks with missing measurements for class of distributed parameter systems (DPSs) time-varying delay. Initially, taking advantage the abstract development equation theory and operator semigroup method, this kind delayed DPSs described by partial differential equations (PDEs) is derived evolution equations. Subsequently, estimators including consistency component gain are designed; purpose to estimate original distribution measurements. Then, delay-dependent guidance approach presented in form control forces constructing an appropriate Lyapunov function candidate. Furthermore, applying stability theorem, theory, stochastic analysis approach, error have been proved asymptotically stable mean square sense, which indicates can approximate system states effectively when DPS has time-delay sensors occur Finally, correctness illustrated numerical simulation results.