Distributed bounded-error state estimation based on practical robust positive invariance

Distributed bounded-error state estimation

This paper presents a distributed bounded-error state estimation algorithm suited, e.g., to measurement processing by a network of sensors. Contrary to centralized estimation, where all data are collected to a central processing unit, here, each data is processed locally by the sensor, the results are broadcasted to the network and taken into account by the other sensors. A first analysis of th...

Practical Robust Positive Invariance for Large-Scale Discrete Time Systems

This note introduces practical set invariance notions for physically interconnected, discrete–time systems, subject to additive but bounded disturbances. We offer a concept which allows us to investigate invariance properties for each of the subsystems separately and, hence, to study invariance properties of the overall system in a sensible and decentralized way. The analysis part makes use of ...

On Robust Positive Invariance of Unbounded Polyhedra

This study analyzes continuous-time linear systems with uncertain parameters on their state and control matrices (A and B), and subject to linear symmetrical constraints on their state (or output) vector. The presented work investigates the possibility to construct a state-feedback law that makes the constrained domain positively invariant with respect to the uncertain closed-loop system. In pa...

Distributed Bounded-Error Parameter and State Estimation in Networks of Sensors

This paper presents distributed bounded-error parameter and state estimation algorithms suited to measurement processing by a network of sensors. Contrary to centralized estimation, where all data are collected to a central processing unit, here, each data is processed locally by the sensor, the results are broadcasted to the network and taken into account by the other sensors. A first analysis...

Nonlinear bounded-error state estimation of continuous-time systems