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

Abstract

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.

Static output feedback secure control for cyber‐physical systems based on multisensor scheme against replay attacks

“…Therefore, the controller design method in this article is less conservative than those in References 27,28,33. Although the decoupling method in SOF control cannot cope with the dynamic output feedback control problem, 34 the detection scheme can be extended to the dynamic output feedback control against replay attacks.…”

Event‐triggered integral sliding mode control for fractional order T‐S fuzzy systems via a fuzzy error function

“…Sliding mode control (SMC), as an effective robust control approach, has been widely used in practical engineering systems. [12][13][14][15][16][17][18][19][20] With the proposed of event-triggered control (ETC), [21][22][23][24][25] the aperiodic sampling scheme provides a novel control implementation strategy to investigate the SMC. By using the event-triggered sliding mode control (ETSMC) method, the system trajectory is confined to maintain within a predesigned band.…”

Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol

“…As an unavoidable phenomenon, the NCSs always experience data collisions, fading channels, and input saturation [21]. To prevent the above shortage and mitigate the side effects, many communication protocols have been addressed to govern which sensors can obtain access to send signals such as the popular communication schedule called roundrobin protocol [22,23], try-once-discard protocol [24], and stochastic communication protocol (SCP) [25,26]. Among them, the SCP is known as an effective method to schedule the signal exchange via a shared channel, in which only one sensor is activated to transmit data.…”