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...

Despite providing robustness, high-gain observers impose a peaking phenomenon, which may cause instability, on the system states. In this paper, an adaptive saturation is proposed to attenuate the undesirable mentioned phenomenon in high-gain observers. A real-valued and differentiable sigmoid function is considered as the saturating element whose parameters (height and slope) are adaptively tu...

We consider the problem of state and parameter estimation for a class of nonlinear oscillators defined as a system of coupled nonlinear ordinary differential equations. Observable variables are limited to a few components of state vector and an input signal. This class of systems describes a set of canonic models governing the dynamics of evoked potential in neural membranes, including Hodgkin-...

We consider the problem of state and parameter estimation for a class of nonlinear oscillators defined as a system of coupled nonlinear ordinary differential equations. Observable variables are limited to a few components of state vector and an input signal. This class of systems describes a set of canonic models governing the dynamics of evoked potential in neural membranes, including Hodgkin-...

It has been known that a state equation of a blushless DC motor is a nonlinear one. Recently, new linear state equation and a position and velocity sensorless control system with the full-order observer based on the equation has been proposed. But the pole assignment of the observer has not been presented clearly. In this paper, we propose an adaptive sliding observer for this linear state equa...

This paper proposes an alternative optimal fuzzy high‐gain observer design scheme. The structure of the proposed observer is represented by the Takagi‐Sugeno fuzzy model and has the integrator of the estimation error. It improves the performance of a high‐gain observer and makes the observer robust against noisy measurements, uncertainties and parameter perturbation. Th...

The problem of state and parameter estimation is addressed for systems with cascade structure including finite-dimensional dynamics followed in series with infinite-dimensional dynamics. The formers are captured through an ODE that is stateand parameter-affine. The latter, referred to as sensor dynamics, are represented by a diffusion parabolic PDE. Both equations are subject to parameter uncer...