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Journal ArticleDOI

Finite-Horizon ${l}_{2}-{l}_{\infty}$ State Estimation for Networked Systems Under Mixed Protocols

TL;DR: In this paper , a mixed scheduling model is proposed to describe the transmission behaviors subject to stochastic communication protocol (SCP) and round-Robin protocol (RRP) for a class of networked time-delay systems where the measurements are transmitted through two individual communication channels.
Abstract: Dear Editor, This letter is concerned with the finite-horizon $l_{2}-l_{\infty}$ state estimation (SE) problem for a class of networked time-delay systems where the measurements are transmitted through two individual communication channels. With the aim of preventing the transmitted data from conflicts, the signal transmissions over such the communication channels are scheduled by different communication protocols, namely the stochastic communication protocol (SCP) and Round-Robin protocol (RRP). A mixed scheduling model is proposed to describe the transmission behaviors subject to such two protocols. The objective of this letter is to design an estimator such that the estimation error achieves the desired finite-horizon $l_{2}-l_{\infty}$ performance in the mean square. By using the Lyapunov stability theory, a sufficient condition is proposed to guarantee the existence of the desired estimator. An illustrative simulation example is given to verify the effectiveness and correctness of the proposed design scheme.

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References
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TL;DR: This paper proposes a time-varying MH estimation method for linear systems with non-uniform sampling under component-based dynamic event-triggered transmission (DETT) scheme, where the desired estimator parameter is calculated by solving a set of linear matrix inequalities.

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TL;DR: This paper proposes a set of new mode-dependent output-feedback controllers designed for 2-D switched systems subject to SCP and external disturbances that guarantee both the exponential mean-square stability and the – performance.
Abstract: This paper is concerned with the l2–l∞ output-feedback control problem for a class of two-dimensional (2-D) switched systems described by the general Fornasini–Marchesini second model under the sto...

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Journal ArticleDOI
TL;DR: In this paper, a parameter-dependent set-membership filter was proposed for linear time-varying systems with norm-bounded noises and impulsive measurement outliers.
Abstract: This paper is concerned with the set-membership filtering problem for a class of linear time-varying systems with norm-bounded noises and impulsive measurement outliers. A new representation is proposed to model the measurement outlier by an impulsive signal whose minimum interval length (i.e., the minimum duration between two adjacent impulsive signals) and minimum norm (i.e., the minimum of the norms of all impulsive signals) are larger than certain thresholds that are adjustable according to engineering practice. In order to guarantee satisfactory filtering performance, a so-called parameter-dependent set-membership filter is put forward that is capable of generating a time-varying ellipsoidal region containing the true system state. First, a novel outlier detection strategy is developed, based on a dedicatedly constructed input-output model, to examine whether the received measurement is corrupted by an outlier. Then, through the outcome of the outlier detection, the gain matrix of the desired filter and the corresponding ellipsoidal region are calculated by solving two recursive difference equations. Furthermore, the ultimate boundedness issue on the time-varying ellipsoidal region is thoroughly investigated. Finally, a simulation example is provided to demonstrate the effectiveness of our proposed parameter-dependent set-membership filtering strategy.

87 citations

Journal ArticleDOI
TL;DR: A functionally complete realization of Try-Once-Discard in wireless multihop networks is presented, based on highly accurate multihOP tick synchronization, and applies an algorithm for collision-protected network-wide value arbitration with deterministic delay.
Abstract: In networked control systems, the Try-Once-Discard (TOD) protocol is of high interest because its properties can be characterized by Lyapunov functions. This feature makes it practical to incorporate TOD into Lyapunov-based design of linear and nonlinear control systems, yielding a self-contained theory for system stabilization. In previous work, candidates for TOD realizations for single-hop (wired and wireless) networks have been proposed. However, it has been a hitherto open question whether TOD can be realized in wireless multihop networks. In fact, it is far from obvious how dynamic value-based competition with deterministically bounded maximum delay, as required by TOD, is achievable in wireless multihop networks. In this paper, we give a positive answer to this question, by presenting a functionally complete realization of TOD in wireless multihop networks. Our solution is based on highly accurate multihop tick synchronization, and applies an algorithm for collision-protected network-wide value arbitration with deterministic delay. We provide experimental evidence for the feasibility of our solution on existing micro controller platforms, and assess our TOD realization in a batch reactor scenario.

46 citations