Adaptive fuzzy decentralized control for a class of MIMO large-scale nonlinear state delay systems with unmodeled dynamics subject to unknown input saturation and infinite number of actuator failures

Moradvandi, Ali; Shahrokhi, Mohammad; Malek, Sayyed Alireza

doi:10.1016/j.ins.2018.09.052

Cited by 31 publications

(21 citation statements)

References 46 publications

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“…order time derivates are required in traditional backstepping [17,42,45,49]. Besides, the exact information of ,, ddd yyy is required in DSC-based design methods [20,21,32].…”

Section: Problem Statement and Preliminariesmentioning

confidence: 99%

“…2) The finite covering lemma combined with the RBF NNs is employed to eliminate the effect of unknown timevarying delays, where the restriction that the time derivative of time-varying delays is less than one in traditional LKFs [41][42][43] is no more needed. Though the above-mentioned restriction can also be solved by the Lyapunov-Razumikhin approach [44,45], Assumption 3 in [44] and Assumption 4 in [45] are not demanded in our proposed control method, which makes the proposed method less demanding and more flexible in practical applications.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Finite-Time Tracking Control for Nonlinear Time-Varying Delay Systems With Full State Constraints and Input Saturation

2021

IEEE Access

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This paper investigates the adaptive finite-time tracking control problem for a class of nonlinear time-varying delay systems subject to full state constraints and input saturation. The nonlinear state-dependent functions (NSDFs) are introduced to handle the asymmetric time-varying full state constraints without feasibility conditions. To cope with the unknown time-varying delays, the radial basis function neural networks (RBF NNs) and the finite covering lemma are utilized. Avoiding the use of the Lyapunov-Krasovskii functionals (LKFs), no restriction on the derivative of the time-varying delays is needed. Meanwhile, the effect of the input saturation is eliminated by the augmented function with an auxiliary control signal. The adaptive finite-time tracking controller with only one adaptive parameter is constructed by applying the command filter approach and backstepping technique. It is proved that the proposed controller can ensure that all signals in the closed-loop system are bounded and the tracking error converges to a small neighborhood of the origin in a finite time. Finally, the effectiveness of the proposed scheme is demonstrated by two simulation examples.

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“…order time derivates are required in traditional backstepping [17,42,45,49]. Besides, the exact information of ,, ddd yyy is required in DSC-based design methods [20,21,32].…”

Section: Problem Statement and Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive Finite-Time Tracking Control for Nonlinear Time-Varying Delay Systems With Full State Constraints and Input Saturation

2021

IEEE Access

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“…Example Consider the large‐scale nonlinear system consisting of two chemical reactors in other works . The model can be described as follows:

({, \begin{matrix} array {\dot{x}}_{i, 1} = \frac{1 - J_{i}}{B_{i, 1}} x_{i, 2} - \frac{1}{M_{i, 1}} x_{i, 1} - H_{i, 1} x_{i, 1} + f_{i, 1} (x), \\ array {\dot{x}}_{i, 2} = \frac{1}{B_{i, 2}} \sum_{q = 1}^{2} L_{i, q} v_{i, q}^{F} (t) - \frac{1}{M_{i, 2}} x_{i, 2} - H_{i, 2} x_{i, 2} + f_{i, 2} (x), \\ array y_{i}^{F} = q_{i} (t) x_{i, 1}, i = 1, 2, \end{matrix})

where x i ,1 and x i ,2 are the compositions; J i =0.5 denote the recycle flow rates; H i ,1 = H i ,2 =0.3 represent the reaction constants; B i ,1 = B i , 2 =0.5 are the reactor volumes; M i ,1 = M i , 2 =2 describe the reactor residence times; L i ,1 = L i ,2 =0.5 denote the feed rates.…”

Section: Simulation Examplesmentioning

confidence: 99%

“…Consider the large-scale nonlinear system consisting of two chemical reactors in other works. 28,41,42 The model can be described as follows:…”

Section: Examplementioning

confidence: 99%

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

Shi

Xiang

2019

Intl J Robust & Nonlinear

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Summary In this paper, we investigate global decentralized sampled‐data output feedback stabilization problem for a class of large‐scale nonlinear systems with time‐varying sensor and actuator failures. The considered systems include unknown time‐varying control coefficients and inherently nonlinear terms. Firstly, coordinate transformations are introduced with suitable scaling gains. Next, a reduced‐order observer is designed to estimate unmeasured states. Then, a decentralized sampled‐data fault‐tolerant control scheme is developed with an allowable sampling period. By constructing an appropriate Lyapunov function, it can be shown that all states of the resulting closed‐loop system are globally uniformly ultimately bounded. Finally, the validity of the proposed control approach is verified by using two examples.

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“…e time-delay problem of control systems has been widely studied. Decentralized control strategy is also applied to solve complex time-delay control systems [17][18][19][20][21][22][23]. Fallah and Taghikhany [24] proposed an overlapping decentralized H 2 /LQG control method for cable-stayed bridge with time delay and divided the cable-stayed bridge into two overlapping subsystems for control.…”

Section: Introductionmentioning

confidence: 99%

Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation

Kang

Zhang

et al. 2021

Shock and Vibration

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A decentralized control strategy can effectively solve the control problem of the large-scale time delayed structures. In this paper, combining the overlapping decentralized control method, linear matrix inequality (LMI) method, and H∞ control algorithm, overlapping decentralized H∞ control approach of the time delayed structures has been established. The feedback gain matrixes of all subsystems are obtained by this method based on genetic algorithm optimization tools and the specific goal of optimization control. The whole vibration control system of the time delayed structures is divided into a series of overlapping subsystems by overlapping decentralized control strategy. The feedback gain matrixes of each subsystem can be obtained by using H∞ control algorithm to calculate each subsystem. The vibration control of a twenty layers’ antiseismic steel structure Benchmark model was analyzed with the numerical method. The results show that the proposed method can be applied to control system with time delay. The overlapping decentralized control strategies acquire the similar control effects with that of the centralized control strategy. Moreover, the flexibility of the controller design has been enhanced by using overlapping decentralized control strategies.

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Adaptive fuzzy decentralized control for a class of MIMO large-scale nonlinear state delay systems with unmodeled dynamics subject to unknown input saturation and infinite number of actuator failures

Cited by 31 publications

References 46 publications

Adaptive Finite-Time Tracking Control for Nonlinear Time-Varying Delay Systems With Full State Constraints and Input Saturation

Adaptive Finite-Time Tracking Control for Nonlinear Time-Varying Delay Systems With Full State Constraints and Input Saturation

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

Overlapping Decentralized Control Strategies of Building Structures’ Vibration with Time Delay Based on H∞ Control Algorithms under Seismic Excitation

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