Adaptive state feedback stabilisation for more general switched stochastic non‐linear systems under arbitrary switchings

Hui, Wang; Zhu, Quanxin

doi:10.1049/iet-cta.2019.0976

Cited by 9 publications

(3 citation statements)

References 40 publications

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“…Hence, the problem formulation of model-based adaptive control is meaningful for resilient control. In general, if system (2) has the lower-triangular form, or strict-feedback form, then backstepping designs originating from [51], [52] are very fruitful not only for the case of ordinary differential equations [53], but also for other classes such as stochastic systems [54], etc.…”

Section: A Model-based Adaptive Controlmentioning

confidence: 99%

Toward Resilience in Mixed Critical Industrial Control Systems: A Multi-Disciplinary View

et al. 2022

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Future industrial control systems face the need for being highly adaptive, productive, and efficient, yet providing a high level of safety towards operating staff, environment, and machinery. These demands call for the joint consideration of resilience and mixed criticality to exploit previously untapped redundancy potentials. Hereby, resilience combines detection, decision-making, adaption to, and recovery from unforeseeable or malicious events in an autonomous manner. Enabling the consideration of functionalities with different criticalities, mixed criticality allows prioritizing safety-relevant over uncritical functions. While both concepts on their own feature a huge research branch throughout various disciplines of engineering-related fields, the synergies of both paradigms in a multi-disciplinary context are commonly overlooked. In industrial control, consolidating these mechanisms while preserving functional safety requirements under limited resources is a significant challenge. In this contribution, we provide a multidisciplinary perspective of the concepts and mechanisms that enable criticality-aware resilience, in particular with respect to system design, communication, control, and security. Thereby, we envision a highly flexible, autonomous, and scalable paradigm for industrial control systems, identify potentials along the different domains, and identify future research directions. Our results indicate that jointly employing mixed criticality and resilience has the potential to increase the overall systems efficiency, reliability, and flexibility, even against unanticipated or malicious events. Thus, for future industrial systems, mixed criticality-aware resilience is a crucial factor towards autonomy and increasing the overall system performance.

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Section: A Model-based Adaptive Controlmentioning

confidence: 99%

Toward Resilience in Mixed Critical Industrial Control Systems: A Multi-Disciplinary View

et al. 2022

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“…Moreover, the existence of a CQLF for all subsystems guarantees the exponential stability of the switched linear system under any arbitrary switching signal. Stabilisation of nominal switched linear systems under arbitrary switching has also been investigated in the literature [15–18]. The main problem of these studies is finding conditions to guarantee the stability of switched systems under arbitrary switching sequences.…”

Section: Introductionmentioning

confidence: 99%

Reducing conservatism in robust stability analysis and stabilisation of arbitrary switched linear systems

Bagherzadeh

Ghaisari

2022

IET Control Theory & Appl

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Parametric modelling of uncertainties has been considered for switched linear systems in the past few years to improve the efficiency of robust stability analysis. The main goal of this paper is simultaneously alleviating conservatism and computational effort for robust stability analysis and stabilisation of arbitrary switched linear systems with uncertain parameters. For this purpose, stability conditions are revised and some constraints are relaxed. First, an improved weighted stability bound is proposed which is larger than previous results. Since the obtained stability bound depends on the chosen Lyapunov function, an optimisation problem is also given to determine its maximum value. Then, using the stability results, robust stabilisation of parametric uncertain switched linear systems under arbitrary switching is investigated. In this regard, a design method is presented to offer a static state feedback control law. The conservatism of the proposed control law is reduced by relaxing the constraint on upper bound of a matrix variable. Finally, illustrative examples are included to demonstrate the effectiveness of the proposed method.

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“…The stability of switched systems has always been a research hotspot. There is an inherent method to analyze the stability of switched systems, such as the common Lyapunov function method, 9,10 the multiple Lyapunov function approach 11,12 and the signal Lyapunov function method 13 . Among them, the common Lyapunov function method and the multiple Lyapunov function approach are widely used.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy constraint control for switched nonlinear systems in nonstrict feedback form

Tang

Yang

Sun

2021

Adaptive Control & Signal

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Summary In this paper, the adaptive fuzzy controller design problem is investigated for a class of switched nonlinear systems in nonstrict feedback form, in which the unknown functions are considered and are approximated. Moreover, the system states are constrained in corresponding compact. By using Barrier Lypunov function method and backstepping technique, the adaptive fuzzy controller is designed such that all the signals in the closed‐loop system are bounded, the system output can track the desired signal to small compact, and all the system states satisfy the constraint conditions. Finally, the simulation results show the effectiveness of the proposed method.

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Adaptive state feedback stabilisation for more general switched stochastic non‐linear systems under arbitrary switchings

Cited by 9 publications

References 40 publications

Toward Resilience in Mixed Critical Industrial Control Systems: A Multi-Disciplinary View

Toward Resilience in Mixed Critical Industrial Control Systems: A Multi-Disciplinary View

Reducing conservatism in robust stability analysis and stabilisation of arbitrary switched linear systems

Adaptive fuzzy constraint control for switched nonlinear systems in nonstrict feedback form

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