Global decentralized sampled‐data output feedback stabilization for a class of large‐scale nonlinear systems with sensor and actuator failures

This article investigates the problem of global adaptive output feedback control for a class of p-normal nonlinear systems with time-varying sensor failure and unknown growth rate via an event-triggered strategy. Due to the existence of time-varying sensor failure, only the system output with sensor failure is available for feedback control design. To overcome this obstacle, an adaptive reduced-dimensional observer using only failure output is constructed. Subsequently, a novel adaptive event-triggered controller is designed by virtual of a dynamic gain technique, under which all the states of the considered closed-loop systems are bounded as well as the proposed event-triggered mechanism is Zeno-free. Finally, two examples are provided to demonstrate the validity of the presented control method.

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“…Remark Assumption 2 is a common assumption for the control problem of nonlinear systems with sensor failure 27,28 …”

Section: Preliminariesmentioning

confidence: 99%

Adaptive event‐triggered output feedback control for a class of p‐normal nonlinear systems with sensor failure

Shi

Shu

et al. 2020

Intl J Robust & Nonlinear

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“…For a larger class of LSS with strongly interconnected nonlinearities, that is, the interconnections depend on all subsystem states, the last two decades have witnessed a lot of valuable results, see, for example, References 13‐21 and the references therein. In particular, within the LMI framework, the work of Reference 13 presented a decentralized dynamic output‐feedback control scheme for a class of LSS with interconnections satisfying quadratic constraints.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, the dynamic high‐gain observers and controllers were proposed by constructing different adaptive mechanisms in References 26‐29; later, References 30‐33 focused on a class of SISO nonlinear systems in the presence of unknown control coefficient or measurement uncertainty. On the other hand, such scaling‐gain technique has been applied to nonlinear LSS, and several output feedback control approaches have been given in References 15,18‐21, to name a few. Specifically, the work of Reference 15 concerned a class of nonlinear LSS with linear growth conditions, where decentralized output feedback controllers were presented to achieve global exponential stability 18 .…”

Section: Introductionmentioning

confidence: 99%

“…In Reference 19, the authors extended the results of Reference 18 by combining parameter estimation, where the bounding functions of nonlinearities of LSS could contain unknown constant in the output terms. Recently, for a class of nonlinear LSS subject to sensor and actuator failures, Reference 21 presented a decentralized sampled‐data control scheme via output feedback, and ensured the closed‐loop system globally uniformly ultimately bounded. What is worth mentioning is that the aforementioned results are not applicable to nonlinear LSS with unknown constant growth rate, even without time delay.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive output feedback control for large‐scale time‐delay systems with output‐dependent uncertain growth rate

Jia

Shi

et al. 2022

Adaptive Control & Signal

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In this work, the problem of adaptive state regulation is addressed via output feedback for a wide class of large-scale systems with strongly interconnected time-delay nonlinearities. A design approach of partially decentralized adaptive controller is proposed, which gives a novel pair of reduced-order observer and controller with nonidentifier-based double adaptive gains. Compared with the existing results, the growth restrictions imposed on the interconnections are relaxed, where the growth rate includes not only an unknown constant but also the nonpolynomial functions of system output. The double dynamic gains are capable of compensating both the uncertain nonpolynomial growth rate and the unknown time-varying delay. By constructing novel Lyapunov-Krasovskii functionals and combining dynamic-scaling technique with Barb ȃlat's lemma, it is shown that global adaptive state asymptotical regulation is achieved, that is all the closed-loop signals are bounded, and the states of system and observer tend to zero as time goes to infinity. Finally, a simulation example is given to illustrate the proposed control scheme is independent of time delay and well universal.

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“…However, in practical, each agent may be subject to certain uncertainties, actuator faults and external disturbances, which could paralyze the overall control systems. [26][27][28][29] In the last decade, the fault-tolerant control strategies have been introduced in formation control schemes to address the above problem in References 30 and 31. Chen and Song 32 investigate distributed cooperative control issue for MAS with actuator faults.…”

mentioning

confidence: 99%

Time‐varying formation control for multi‐agent systems under directed topology base on gain re‐adaptation fault‐tolerant compensation approach

Wang

Dong

2022

Intl J Robust & Nonlinear

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The distributed fault-tolerant time-varying formation control problem for second-order multi-agent systems (MAS) with loss-of-effectiveness and bias actuator faults over the directed topology is investigated in this article. A novel robust fault-tolerant state feedback controller is constructed with the re-adaptation gain and adaptive compensation, where the re-adaptation control gain is introduced to accomplish formation control with no need for any global knowledge of interaction network among the agents in the entire system. The adaptive compensation is addressed to cope with the unknown bound of faults and time-varying formation. Moreover, the adaptive laws will not always rise because of the influence of measurement noise. On the analysis of Lyapunov stability, one can obtain that all signals of the closed-loop fault-tolerant control system are uniformly bounded, and the formation errors can asymptotically converge to zero. The numerical simulation of second-order MAS is performed to prove the effectiveness of the mentioned results.

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Global decentralized sampled‐data output feedback stabilization for a class of large‐scale nonlinear systems with sensor and actuator failures

Cited by 13 publications

References 41 publications

Adaptive event‐triggered output feedback control for a class of p‐normal nonlinear systems with sensor failure

Adaptive event‐triggered output feedback control for a class of p‐normal nonlinear systems with sensor failure

Adaptive output feedback control for large‐scale time‐delay systems with output‐dependent uncertain growth rate

Time‐varying formation control for multi‐agent systems under directed topology base on gain re‐adaptation fault‐tolerant compensation approach

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