Adaptive state feedback control for nonlinear systems with multiple interval time-varying delays and non-symmetric dead-zone input: A Lyapunov-Krasovskii approach

Zheng, Wei; Zhang, Zhiming; Wang, Hongbin; Wen, Shuhuan; Wang, Hongrui

doi:10.1177/0142331219842284

Cited by 5 publications

(3 citation statements)

References 40 publications

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“…Then the controller parameters metrics P and K will be computed. K matrix is directly calculated by feasibility solution of LMI, and the matrix P will be calculated by (24).…”

Section: Sliding Mode Controller Design With Multiple Time Delays In ...mentioning

confidence: 99%

Fault‐tolerant controller design for nonlinear systems with multiple input and state delays based on sliding mode algorithm

Azmi

Yazdizadeh

2022

Intl J Robust & Nonlinear

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In this article, a novel sliding mode control (SMC) strategy for nonlinear Lipschitz systems with multiple and dissimilar time delays in the states and inputs is proposed. Using linear matrix inequality, a modified integral sliding surface scientifically based on which the innovative SMC approach is developed. Lyapunov–Krasovskii's theory is employed to guarantee asymptotic stability of the closed‐loop system, such that states starting from any arbitrary initial conditions reach the sliding surface in a finite time and stay on it for all subsequent time. It is also proved that the practical effects of the actuator's faults are simultaneously attenuated. An online adaptive tuning law is used to estimate and isolate actuators' possible faults reliably. From the implementation point of view, the controller structure is more straightforward than the most existing recent fault‐tolerant control methods. Simulation results performed on practical nonlinear systems (quadruple tank and industrial continuous stirred tank reactor) verified the outstanding merits of the proposed approach. The operational capabilities of the proposed scheme in the presence of actuators' faults and multiple delays in the states and inputs were also demonstrated.

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“…Then the controller parameters metrics P and K will be computed. K matrix is directly calculated by feasibility solution of LMI, and the matrix P will be calculated by (24).…”

Section: Sliding Mode Controller Design With Multiple Time Delays In ...mentioning

confidence: 99%

Fault‐tolerant controller design for nonlinear systems with multiple input and state delays based on sliding mode algorithm

Azmi

Yazdizadeh

2022

Intl J Robust & Nonlinear

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“…Closed systems with various nonsymmetric nonlinearities consider in [13]. Control systems with variable dead zones scribes in [14,15].…”

Section: Introductionmentioning

confidence: 99%

On Structural Identifiability of System with Nonsymmetric Nonlinearities

Karabutov¹

2023

Preprint

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The complexity of objects and control systems increases the requirements for mathematical models. The structural identifiability (SI) assessment of nonlinear systems is one of the identification problems. Until now, this problem solves by parametric methods using various approximation methods. This approach is not always effective under uncertainty. We apply an approach to SI estimation based on the analysis of virtual structures. The requirements form for the system input based on the expansion of the excitation constancy property and S-synchronizability. The approach generalization to structural identifiability used in the analysis of systems with symmetric nonlinearity is given. homothety and identifiability conditions for systems with non-symmetric nonlinearities (SNN) obtained. The detectability and recoverability proofed for virtual frameworks (VF) guaranteed the SI estimation under uncertainty. The conditions under which the non-symmetric nonlinearity is hypothetical symmetric nonlinearity obtained. SI estimation examples considered for closed nonlinear systems under uncertainty.

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“…The input dead-zone exists in many real electronic and industrial systems; for example, hydraulic systems and transistor amplifiers have a dead-zone. This nonlinearity not only results in system performance but also may lead to instability of the system (Shahriari-kahkeshi and Rahmani, 2019; Zheng et al, 2019). Therefore, for addressing this issue, there are a host of respective theories.…”

Section: Introductionmentioning

confidence: 99%

Adaptive consensus for heterogeneous unknown nonlinear multi-agent systems with asymmetric input dead-zone: A finite-time approach

Zamanian

Abdollahi

Nikravesh

2021

Transactions of the Institute of Measurement and Control

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This study deals with the adaptive finite-time consensus problem of heterogeneous multi-agent systems composed of first-order and second-order agents with unknown nonlinear dynamics and asymmetric input dead-zone under connected undirected topology. Under the proposed protocol and adaptive laws, a sliding mode variable for every agent converges to a compact set in finite time, and also the position errors and the velocity errors (for second-order agents) between any two agents converge to a small desired neighborhood of the origin in finite time. Each agent requires its states and the relative positions of its neighbors. By applying sliding mode control, the external disturbances, and the imperfect approximation of neural networks are rejected. The unknown terms of the agents’ dynamics are approximated using radial basis function neural networks. The adaptive compensator plus dead-zone is applied to overcome the asymmetric input dead-zone. Based on Lyapunov stability theory, analysis is led on stability. Different from the previous works, the global information graph is not used in the proposed protocol. Finally, our approach is examined for two examples to evaluate its performance.

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Adaptive state feedback control for nonlinear systems with multiple interval time-varying delays and non-symmetric dead-zone input: A Lyapunov-Krasovskii approach

Cited by 5 publications

References 40 publications

Fault‐tolerant controller design for nonlinear systems with multiple input and state delays based on sliding mode algorithm

Fault‐tolerant controller design for nonlinear systems with multiple input and state delays based on sliding mode algorithm

On Structural Identifiability of System with Nonsymmetric Nonlinearities

Adaptive consensus for heterogeneous unknown nonlinear multi-agent systems with asymmetric input dead-zone: A finite-time approach

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