We study constant input delay compensation by using finite-dimensional observer-based controllers in the case of 1D heat equation. consider Neumann actuation with nonlocal measurement and employ modal decomposition N+1 modes observer. introduce a chain M sub-predictors that leads to closed-loop ODE system coupled infinite-dimensional tail. Given an r, we present LMI stability conditions for fin...

In this paper, we develop a new observer design method for nonlinear systems with large transport delays. The new observer design is a generalization of the PDE-based backstepping-like observer design approach. First developed for delayed linear systems, this approach relies on a modelling of the output time-delay by a 1st order hyperbolic equation, leading to an ODE–PDE representation of the s...

Using backstepping design, exponential stabilization of the linearized Saint-Venant–Exner (SVE) model of water dynamics in a sediment-filled canal with arbitrary values of canal bottom slope, friction, porosity, andwater–sediment interaction, is achieved. The linearized SVEmodel consists of two rightward convecting transport Partial Differential Equations (PDEs) and one leftward convecting tran...

background: los angeles classification is widely adopted as a means of unifying endoscopic observation for gerd. we assessed the inter- and intra-observer variability of la classification. materials and methods: two-hundred fifty-four still images of the lower esophagus taken by an expert endoscopist (rm) were randomly selected and presented to 9 gastroenterologists (2 females, 6 experts, 3 tra...

K e y w o r d s O u t p u t regulation, Observer design, Exponential observers, Discrete-time systems. 1. I N T R O D U C T I O N O u t p u t regula t ion problem is the problem of controlling the ou tpu t of a control system so as to achieve asympto t i c t racking of prescribed reference t ra jec tor ies a n d / o r asympot ic rejection of undesired d is turbance signals. I t is a central pro...

State observer is an essential component in computerized control loops for greenhouse-crop systems. However, the current accomplishments of observer modeling for greenhouse-crop systems mainly focus on mass/energy balance, ignoring physiological responses of crops. As a result, state observers for crop physiological responses are rarely developed, and control operations are typically made based...

In this paper, we consider boundary stabilization problem of heat equation with multi-point source. Firstly, a state feedback controller is designed mainly by backstepping approach. Under the controller, exponential stability closed-loop system guaranteed. Then, an observer-based output proposed. We prove resulting using operator semigroup theory. Finally, and controllers are effective via some...

Abstract In this paper, we present a sufficient condition for the exponential stability of class linear switched systems. As an application result, establish output-based adaptive distributed observer general leader system over periodic jointly connected switching communication network, which extends applicability from marginally stable to any and undirected graph directed graph. This will be a...

The problem of observer design for nonlinear systems has got great attention in the recent literature. The nonlinear observer has been a topic of interest in control theory. In this research, a modified robust sliding-mode observer (SMO) is designed to accurately estimate the state variables of nonlinear systems in the presence of disturbances and model uncertainties. The observer has a simple ...