An Event-Triggered Approach to Sliding Mode Control of Markovian Jump Lur’e Systems Under Hidden Mode Detections

Self Cite

This article investigates the dynamic output feedback control problem for a class of networked Markovian jump systems via sliding mode control method. The stochastic communication protocol schedules the communication between sensors and the controller, by which only one sensor node can access the network at one instant. First, a compensator at the controller side is utilized to yield the available measurement signals composed of the current measurement output transmitted by the selected sensor node and the past measurement output from other sensor nodes. A joint Markovian chain incorporating the Markovian chains of the system as well as the stochastic communication protocol is introduced to model the Markovian jump system subject to the stochastic communication protocol. And then, the dynamic output feedback sliding mode controller is designed and the stochastic stability is analyzed. Moreover, a feasible solving algorithm is provided via a projection technique. Finally, the proposed control scheme is verified via an electrical motor model.

Section: Introductionmentioning

confidence: 99%

Dynamic output feedback sliding mode control for Markovian jump systems under stochastic communication protocol and its application

Cao

Niu

Karimi

2020

Self Cite

“…To overcome the shortages of time-triggering, event-triggered sampling (ETS) mechanisms have been received considerable attentions in the recent results. [10][11][12][13][14][15][16][17][18] In Reference 11, the communication delay and packed loss are considered. Lyapunov-Krasovskii function is improved and asymptotically stable is guaranteed under event-triggering scheme.…”

Section: Introductionmentioning

confidence: 99%

A novel adaptive event‐triggering scheme for network descriptor systems with time‐delay

Wang

Zhang

Ren

2020

This article is concerned with the problem of the event-triggered H ∞ control for network descriptor systems with time-delay under a novel adaptive event-triggering scheme. First, to save more limited communication resource, a novel adaptive event-triggering scheme is introduced to adaptively adjust the communication threshold. Second, by considering the network-induced delay, the system's time-varying delay, and the transmission scheme, a delay system method is used to build a novel time-varying delay system model. Based on this model and Lyapunov function technology, sufficient stability conditions with the H ∞ disturbance performance to verdict admissible and stabilization conditions to codesign the controller gain are obtained in terms of linear matrix inequalities. Then, an event-triggered H ∞ controller is proposed to stabilize descriptor systems with time-delay. Finally, a numerical simulation example and a comparing example are employed to illustrate the effectiveness and the advantageous performances of the proposed adaptive event-triggering scheme.

“…Up until now, some effective approaches have been reported, such as time‐triggered strategy, event‐triggered scheme (ETS), and hybrid‐triggered one . Unlike the time‐trigger, since the ETS can be more efficient in reducing the number of transmitted data, thus recently, plenty of event‐based techniques have been proposed to study various control systems including the NCSs . In Reference , a controller design on the combination of three matrices Q, S, R (QSR)‐dissipativity was proposed by using a continuous‐time ETS, in which Zeno behaviors could be avoided.…”

Section: Introductionmentioning

confidence: 99%

Event‐triggered observer‐based robust H_∞ control for networked control systems with unknown disturbance

Wang

Zhai

et al. 2020

INTRODUCTIONNetworked control systems (NCSs) are described as the spatially distributed systems in which the sensors, actuators, and controllers are connected via a shared communication network. In comparison with traditional systems, the NCSs possess many advantages such as great flexibility, convenient maintenance, low cost of installation, and so on. Yet, along with these advantages, some challenging issues (bandwidth allocation, communication delay, packet dropouts, packet disorders, and channel fading) emerged and gave rise to much attention. Then most recently, the research on the NCSs has become a heated topic and many elegant results have been proposed. 1-29 For instance, in Reference 1, an optimal linear filter for the NCSs was designed with involving time-correlated fading channels.As for distributed NCSs, in Reference 2, both communication constraints (packet dropouts and quantization) and switching topology were addressed. Meanwhile, since communication delay inevitably exists and leads to poor performance, then References 3-7 deeply studied its negative effects when designing the controllers. In Reference 3,