Observer‐based sliding mode control for state‐saturated systems under weighted try‐once‐discard protocol

Abstract

In this article, the sliding mode control (SMC) problem is investigated for a class of networked state-saturated systems. In the underlying system, the system states are saturated and unmeasured, and the communication along the sensor-to-controller channel is regulated by the weighted try-once-discard protocol under which only one sensor node is permitted to transmit data at each instant. The key issue of the addressed problem is how to design both the state observer and the observer-based sliding mode controller in the presence of protocol scheduling and state saturation. A token-dependent state-saturated observer is first constructed, and a desired SMC law is then designed with aid of the updating rule for the actually received measurement. Sufficient conditions are established to guarantee both the asymptotic stability of the SMC system and the reachability of the specified sliding surface. The algorithm for acquiring the desired controller gain matrices is proposed in terms of a convex optimization problem. Finally, the effectiveness of the developed observer-based SMC design scheme is verified by a simulation example. K E Y W O R D S communication protocol, networked control systems, sliding mode control, state saturation, weighted try-once-discard protocol How to cite this article: Song J, Wang Z, Niu Y, Hu J. Observer-based sliding mode control for state-saturated systems under weighted try-once-discard protocol.

Event‐triggered controller design from the control input perspective

“…Networked control is increasingly gaining attention in the past decades as it is able to improve control efficiency and reduce operation cost. [1][2][3][4] For networked control systems (NCSs), effective signal communication among different system nodes is indispensable to guarantee desired system performance. However, in many practical NCSs such as power grid, there exist numerous individual tasks that require communication channels to conduct simultaneous signal transmissions, leading to a competition for limited bandwidth of communication channels.…”

“…Networked control is increasingly gaining attention in the past decades as it is able to improve control efficiency and reduce operation cost 1‐4 . For networked control systems (NCSs), effective signal communication among different system nodes is indispensable to guarantee desired system performance.…”

Hybrid adaptive extended state observer for event‐triggered networked nonlinear systems subject to deception attacks and external disturbances

“…For NSs in reality, the inherent bandwidth limits on the communication networks give rise to undesirable network‐induced phenomena including communication delays, packet dropouts, network congestion and so on 16 . As a result, different types of event‐triggered mechanism (ETM) have been proposed to reduce transmission burden between the components of the NSs, see for example, References 16‐18, and the references therein. Thereinto, in the framework of event‐driven observer, the necessary information transmission between sensor and observer is determined by the occurrence of an “event” rather than “time.” 19 As well known, the ETM based continuous‐time NSs is actually a kind of sampled‐data systems, and the low transmission frequency between the sensor and observer typically comes at the price of reducing the estimation performance of observer.…”

“…For NSs in reality, the inherent bandwidth limits on the communication networks give rise to undesirable network-induced phenomena including communication delays, packet dropouts, network congestion and so on. 16 As a result, different types of event-triggered mechanism (ETM) have been proposed to reduce transmission burden between the components of the NSs, see for example, References 16-18, and the references therein. Thereinto, in the framework of event-driven observer, the necessary information transmission between sensor and observer is determined by the occurrence of an "event" rather than "time."…”

Generalized Model Reference Scheduling and Control Co-Design with Guaranteed Performance

“…A scheduling approach combing priority-based scheduling and the communication sequence, maximum error first and try once discard (MEF-TOD), is proposed in [20]. It has been widely used in several fields since it was put forward, such as in wireless multi-hop networks [21], a quantization control system [22], stochastic networked control [23], an automotive electronic valve system [24], a state-saturated system [25], and the references therein. However, it is worth noting that the MEF-TOD scheduling uses the errors of the states between adjacent periods.…”