Robust fault-tolerant control for networked control systems subject to random delays via static-output feedback

Static output feedback control of uncertain systems over uncertain communication links with guaranteed H∞ performance

“…Different from previously published articles (see References 18,32,34‐37), the proposed LMI design condition does not impose any restrictions on the auxiliary matrices, which leads to less conservatism. This will be verified by simulation studies. Compared with the previously published articles (see References 18,22,31,38), the proposed design condition can handle the parameter uncertainties on all of the state‐space matrices of the controlled‐plant, which is a significant improvement from the viewpoint of practical applications.…”

“…The second approach is to impose structural constraints on some of the introduced auxiliary matrices to remove the equality conditions that arise in the design procedure. Bahreini and Zarei 31 addressed the static output feedback control problem for NCSs in the presence of actuator faults and Markovian delays with partially known transition probabilities. The third approach is to investigate the problem by utilizing the singular systems approach 32,33 .…”

“…Hence, all three approaches are faced with either high computational complexity or substantial design conservativeness. Furthermore, performance‐based design in the presence of parameter uncertainties and exogenous disturbances is not considered in Shi and Yu, 17 Bahreini and Zarei, 31 and Zhang et al 18 …”

Observer-based passive control of non-homogeneous Markov jump systems with random communication delays

“…The probabilistic nature of the varying sensor delay in Wang et al (2004) is depicted by a Bernoulli sequence. And the randomly occurring delay with Bernoulli distribution has been widely used in the last years, for example, H ∞ filtering for nonlinear stochastic systems (Shen et al, 2009), H ∞ control for stochastic neural networks (Arunkumar et al, 2015), and static output feedback fault-tolerant control for networked control systems (Bahreini & Zarei, 2019), etc. Most recently, based on event-triggered communication protocol, a state estimator has been proposed for complex dynamical networks with random sensor delays and coupling strengths (Hu et al, 2020).…”

“…For systems with such type of delay, the bounded time-varying delay can be divided into several sub-intervals, and at each time instant it belongs to certain one sub-interval with known probability (Peng et al, 2009). Compared with randomly occurring delays (Arunkumar et al, 2015;Bahreini & Zarei, 2019;Shen et al, 2009;Wang et al, 2004), the distribution-dependent delay includes the information about the probabilistic distribution feature of time-varying delay. In Peng et al (2009) and Bao and Cao (2011), by introducing a Bernoulli variable, the systems with distribution-dependent random delays can be formulated as unified models with randomly occurring delays.…”