In this paper, the design of an unknown input observer is considered. The main contribution consists in the obtention of a sufficient condition to design an observer which estimates a part of the state independently of the knowledge of some inputs. Based on the geometric approach, a sufficient condition for the existence of an unknown input observer for state affine systems up to output injecti...

This paper is concerned with the observer design for one-dimensional linear parabolic partial differential equations whose output is a weighted spatial average of the state over the entire spatial domain. We focus on the backstepping approach, which provides a systematic procedure to design an observer gain for systems with boundary measurement. If the output is not a boundary value of the stat...

The problem of state reconstruction from input and output measurements for nonlinear time delay systems is studied in this paper and a state observer is proposed that is easy to implement and, under suitable assumptions on the system and on the input function, gives exponential observation error decay. The proposed observer is itself a delay system and can be classi ̄ed as an identity observer, ...

In this paper, a state and unknown input observer is proposed for discrete-time linear systems with bounded unknown inputs and measurement disturbances. The design procedure is formulated using a set of linear matrix inequalities, and leverages delayed (or fixed-lag) estimates. The observer error states and/or user-defined performance outputs are guaranteed to operate at pre-specified performan...

In this paper, we propose a new adaptive observer for a class of state-a¢ ne systems. More speci…cally we consider state a¢ ne systems that are in a special observable canonical form called the Generalised Jordan Observable Canonical (GJOC) form. The observer is then employed to estimate the biomass concentration in a bioreactor, using the measurements of the substrate concentration. Simulation...

In this paper, we investigate the use of adaptive extended Luenberger state estimators for general nonlinear and possibly time-varying systems. We identify the connection between the extended Luenberger observer and Grossberg’s additive model for dynamic neural networks. The association between dynamic neural networks and the Luenberger observer leads to an obvious modification on the proposed ...

The relation between quantum measurement and thermodynam-ically irreversible processes is investigated. The reduction of the state vector is fundamentally asymmetric in time and shows an observer-relatedness which may explain the double interpretation of the state vector as a representation of physical states as well as of information about them. The concept of relevance being used in all stati...

This paper proposes an interval observer for continuous or fed-batch chemical reactors with uncertainties related to both the heat exchange coefficient and the kinetics. The interval observer provides an upper and a lower bound of the state given bounds for the uncertain parameters. The underand over-estimators are state observers for the non-linear reactor model with two positive tuning parame...

This paper presents a non-linear state observer-based integrated navigation scheme for estimating the attitude, position and velocity of micro aerial vehicles (MAV) operating in GPS-denied indoor environments, using the measurements from low-cost MEMS (micro electro-mechanical systems) inertial sensors and an RGB-D camera. A robust RGB-D visual odometry (VO) approach was developed to estimate t...