Communication Protocol-based Zonotopic Estimation For Time-varying Systems

State/fault estimation is always a hot and important research problem in signal processing and control system communities.Among them,the zonotopic setmembership estimation method has been widely concerned by scholars because of its excellent balance between computation complexity and estimation accuracy.In addition,with the progress of network technology,networked systems are more common.For networked systems,information transmission is often completed through the communication-constrained network media.Therefore,how to properly introduce efficient communication protocols is also a problem that cannot be ignored for the problem of zonotopic set-membership estimation.Due to the universality of timevarying systems,the time-varying property of systems is important for the problem of protocol-based zonotopic set-membership estimation.To sum up,this thesis focuses on the study of protocol-based zonotopic set-membership estimation for time-varying systems.The main work includes:1.The dynamic event-triggered zonotopic set-membership state estimation issue is studied for a class of networked multirate systems that are subject to unknown but bounded disturbance and noise.In order to save limited communication resource when implementing the expected networked estimation task,a dynamic event-triggered transmission mechanism is introduced to significantly reduce the transmission frequency of sensor data.A key issue in this problem is to construct a zonotopic outer approximation set to bound the set of states that are consistent with the disturbed system model and the noisy measurement outputs.By means of a “prediction-updatecorrection” method,we design a zonotope that is guaranteed to enclose all possible system states due to the unknown but bounded disturbance and noise at each instant.Then,the size of such a zonotope is minimized by properly designing an introduced correlation matrix at each iteration.In addition,the estimation performance of the designed zonotopic estimation method is analyzed.A sufficient condition is further given to ensure the boundedness of the size of the obtained zonotope.Finally,an illustrative example is provided to demonstrate the effectiveness of the proposed method.2.The protocol-based zonotopic set-membership state and fault estimation issue is discussed for a class of discrete time-varying industrial cyber-physical systems under unknown but bounded disturbances and constrained communication resources.First,in order to alleviate resource consumption,a round-robin protocol is introduced to arrange the data transmission between the local sensor and the remote estimator.Second,a zonotopic set-membership estimation algorithm is designed to guarantee that the unavailable system states and fault signals could be simultaneously estimated and enclosed in a zonotope at each iteration.Next,the size of such a zonotope is minimized at each instant by appropriately utilizing an introduced correlation matrix.Furthermore,the rigorous stability and performance analysis for the designed zonotopic estimation algorithm is provided.Finally,two simulation examples are provided to verify the obtained theoretical results.