A systematic procedure to synthesize interval observers for nonlinear discrete-time systems is proposed. The feedback gains and other matrices are found by solving semidefinite feasibility programs. Two cases considered: (1) the observer in same coordinate frame as given system, (2) uses a transformation. Numerical examples provided showcase effectiveness of show an application sampled-data systems.

Abstract Periodic event‐triggered control (PETC) evaluates triggering conditions only at periodic sampling times, based on which it is decided whether the controller needs to be updated. This article investigates global stabilization of nonlinear systems that are affected by external disturbances under PETC mechanisms. Sufficient provided ensure resulting closed‐loop system input‐to‐state stable (ISS) for state feedback and observer‐based output configurations separately. The period...

Synthesizing interval observers for nonlinear systems is challenging partially because both stability and positivity need to be ensured simultaneously. This paper investigates the synthesis of two classes systems: polytopic conic systems. Conditions proposed are derived by expressing error dynamics as a linear differential inclusion. These conditions enforced along with in convex programs which yield observer gains coupling terms. Two one program systems,

Existing results on periodic event-triggered control mainly focus linear systems, and their extension to nonlinear systems are largely open. This paper investigates the observer-based design for incrementally conic with event-trigger mechanisms in both input output channels. The closed-loop system is modeled using an impulsive approach, sufficient conditions based matrix inequalities presented guarantee asymptotically practical stability of system. A single-link robot arm example given...

This paper constructs observers for linear and Lipschitz nonlinear systems with self-triggered measurements by utilizing the interval observer framework, which guarantees that an upper bound on error between estimated state actual are known. The designed based periodically sampled a positive uniform minimum inter-sampling time. Convex programs constructing gains triggering functions proposed. Simulation results given to show effectiveness of proposed algorithms.

Periodic event-triggered control (PETC) evaluates the triggering rule periodically and is well-suited for implementation on digital platforms. This paper investigates PETC design nonlinear systems affected by external disturbances under impulsive system formulation. Sufficient conditions are provided to ensure input-to-state stability of resulting closed-loop state feedback observer-based output configurations separately. For each configuration, sampling period functions explicitly. in form...

In this paper, interval observers are synthesized for globally Lipschitz nonlinear switched systems. Interval designed to ensure positivity and input-to state (ISS) stability of the error dynamics. The first result synthesizes where some modes dynamics can be destabilizing. ISS is guaranteed if activation time unstable constrained. second uses coordinate transformations. Impulses applied when switching between each frame preserve positivity. These impulses tend destabilizing, so does not...

<h3>Introduction</h3> Alcoholic hepatitis (AH) is an acute manifestation of alcohol related liver disease with very poor survival. The aim this study was to identify phenotypes AH based on radiological measures size and hepatic fat content. <h3>Methods</h3> Consecutive patients admitted our institution a clinical diagnosis (based the NIAAA definition) who had computed tomography (CT) imaging abdomen within 10 days admission were included. defined by two parameters: a. steatosis calculated...