Sampled‐data exponential stabilization of switched nonlinear delayed systems with asynchronous switching

Abstract

In this article, the exponential stabilization for a class of switched nonlinear delayed systems is addressed via aperiodic sampled-data control with asynchronous switching. A new type of looped multiple Lyapunov-Krasovskii functionals (LKFs) is developed, which depend both on the system modes and on the controller modes. Moreover, the constructed looped LKFs are discontinuous and relax restrictions on positive definiteness that is only required at the sampling instants and at the switching instants of system modes. Based on the looped multiple LKFs, the average dwell time approach, and some estimation techniques, a less conservative stability criterion is derived to ensure the exponential stability of the closed-loop system. Furthermore, by decoupling the matrix inequalities in the stability criterion, a LMI-based design algorithm for the control gains is developed, which gets further refined and becomes more flexible due to the introduction of the two adjustable parameters. Two simulation examples are finally provided to validate the effectiveness and superiority of the proposed functionals and the obtained results over some existing ones.

Fuzzy sampled‐data control of PMSG‐based wind turbine systems with random occurring uncertainties

“…TA B L E 1 The parameter representation of PMSG-based WT system (11) and their numerical values are listed in Table 1 (as similar in Reference 7).…”

“…Energy consumption can be reduced by increasing the sampling interval with this sampling approach, which is a certainty. Concerns have been raised about the use of sampling data for control purposes 8‐11 . The authors in Reference 12 have proposed a decentralized adaptive fuzzy SDC based on an output feedback control strategy to obtain the semiglobal uniformity and ultimately boundedness of large‐scale interconnected systems.…”

Consensus of nonlinear multiagent systems with mode‐dependent delay via stochastic sampled data under Markovian switching topologies

“…In Reference 23, Syed Ali et al investigate consensus problem of nonlinear multiagent systems with delays mixed by probabilistic time varying delay and distributed delay. Exponential synchronization of a neural networks with Markovian jumping parameters and time varying delays is discussed by Chandrasekar et al 24 Other studies on time‐delay systems can be found in References 23,25–29. However, the considered time delays in the previous references are either deterministic or independent on system modes.…”

“…However, the discrete controller based on sampled data can save communication resources and enhance control efficiency. Very recently, there are many results on sampled‐data control in system control community, we refer the readers to the bibliographies 23,26,28,34–38 . In practical systems running, the sampled data is often acquired with random periods for some active or passive factors.…”

“…Very recently, there are many results on sampled-data control in system control community, we refer the readers to the bibliographies. 23,26,28,[34][35][36][37][38] In practical systems running, the sampled data is often acquired with random periods for some active or passive factors. On the one hand, stochastic sampling may be a voluntary man-made operation in some special situations.…”