Robust Estimation for Discrete Markov System with Time-Varying Delay and Missing Measurements

Abstract

This paper addresses theℋ∞filtering problem for time-delayed Markov jump systems (MJSs) with intermittent measurements. Within network environment, missing measurements are taken into account, since the communication channel is supposed to be imperfect. A Bernoulli process is utilized to describe the phenomenon of the missing measurements. The original system is transformed into an input-output form consisting of two interconnected subsystems. Based on scaled small gain (SSG) theorem and proposed Lyapunov-Krasovskii functional (LKF), the scaled small gains of the subsystems are analyzed, respectively. New conditions for the existence of theℋ∞filters are established, and the correspondingℋ∞filter design scheme is proposed. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed approach.

Regularised estimation for ARMAX process with measurements subject to outliers

“…6: end for 7: Compute the estimated output z^k | k by using (10) and (11) with z i being replaced by y i − ô i|k . 8: Compute the prediction x¯k − N and Σ k − N by using (12) and (13). 9: Set k = k + 1 and go back to step 2.…”

“…Uncertainties can be classified into different categories according to their origin. For example, in networked control systems, the exchange of information is subject to network congestion and latency [13], which gives rise to the uncertainty in measurement. In wireless networked control systems, the mobile sensor nodes may be affected by external environment, which contributes to the uncertainty in system state [14].…”

Super-Twisting-Algorithm-Based Terminal Sliding Mode Control for a Bioreactor System

“…It has many advantages such as fast response, small sensitivity to system uncertainties and/or disturbances from the environment, and being easily designed. Based on these reasons, the CSMC approach has been popularly applied to a variety of control issues [1][2][3][27][28][29][30][31][32][33][34][35][36][37][38][39]. The design of CSMC is known to consist of two main steps.…”

On Existence of Stabilizing Switching Laws within a Class of Unstable Linear Systems

“…The key motivations for having "multiple modalities" or "variable structure" during the control period include the improvement of the transient response of an adaptive system [2] and the existence of systems (such as nonholonomic systems) that cannot be asymptotically stabilizable by a single continuous feedback control law [8,41], which makes switch control technique especially suitable. Recently, the fault-tolerant control (FTC) issues with fault detection and diagnosis (FDD) schemes have been largely discussed [38,[42][43][44][45][46]. Herein, the switching strategies will also be applied in the active, passive, or data-driven framework in the current and future works.…”