Robust H∞ control of neutral system for sampled-data dynamic positioning ships

Abstract This study focuses on the robust ${H}_{\infty }$ sampled-data control problem of neutral system for dynamic positioning (DP) ships. Using the input delay approach and a state-derivative control law, the ship DP system is turned into a neutral system with time-varying delays. By incorporating the delay-decomposition technique, Wirtinger-based integral inequality and an augmented Lyapunov–Krasovskii functional, less conservative result is derived for the resulting system. Sufficient conditions are established to determine the system’s asymptotical stability and achieve ${H}_{\infty }$ performance using Lyapunov stability theorems. Then the ${H}_{\infty }$ sampled-data controller is obtained by analyzing the stabilization conditions. Finally, simulation result is shown that the proposed method is effective.

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H∞ Sampled-Data Control for Singular Neutral System

Mathematical Problems in Engineering ◽

10.1155/2017/8919714 ◽

2017 ◽

Vol 2017 ◽

pp. 1-16 ◽

Cited By ~ 2

Author(s):

Minjie Zheng ◽

Yujie Zhou ◽

Shenhua Yang ◽

Lina Li ◽

Yongfeng Suo

Keyword(s):

Singular System ◽

Sufficient Conditions ◽

Linear Matrix ◽

Neutral System ◽

Sampled Data ◽

Composite State ◽

Time Varying Delay ◽

Data Control ◽

Conservative Result ◽

Data Controller

This study is concerned with the H∞ control problem for singular neutral system based on sampled-data. By input delay approach and a composite state-derivative control law, the singular system is turned into a singular neutral system with time-varying delay. Less conservative result is derived for the resultant system by incorporating the delay decomposition technique, Wirtinger-based integral inequality, and an augmented Lyapunov-Krasovskii functional. Sufficient conditions are derived to guarantee that the resulting system is regular, impulse-free, and asymptotically stable with prescribed H∞ performance. Then, the H∞ sampled-data controller is designed by means of linear matrix inequalities. Finally, two simulation results have shown that the proposed method is effective.

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Sampled-data control for nonlinear singular systems based on a Takagi–Sugeno fuzzy model

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331217740420 ◽

2018 ◽

Vol 40 (14) ◽

pp. 4027-4036 ◽

Cited By ~ 4

Author(s):

Zheng Minjie ◽

Zhou Yujie ◽

Yang Shenhua ◽

Li Lina

Keyword(s):

Singular Systems ◽

Sufficient Conditions ◽

Fuzzy Model ◽

Sampled Data ◽

Nonlinear Singular Systems ◽

Stability Theorems ◽

Data Control ◽

Admissible Condition ◽

Data Controller ◽

Takagi Sugeno

The sampled-data admissibility problem for nonlinear singular systems in Takagi–Sugeno fuzzy models is discussed. By adding some novel terms, a novel fuzzy time-dependent Lyapunov–Krasovskii functional is proposed to fully capture the available characteristics of the actual sampling pattern. Sufficient conditions are derived to determine the regularity, absence of impulses and asymptotic stability of the system by using Lyapunov stability theorems. Then, the fuzzy sampled-data controller is obtained by analysing the admissible condition. One practical example involving a truck–trailer system is considered. It is shown that the proposed method and the designed controller for the system are effective and that less conservativeness can be obtained.

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Dissipativity-Based Reliable Sampled-Data Control With Nonlinear Actuator Faults

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4034047 ◽

2016 ◽

Vol 11 (6) ◽

Cited By ~ 6

Author(s):

Srimanta Santra ◽

R. Sakthivel ◽

B. Kaviarasan

Keyword(s):

Sufficient Conditions ◽

Control Design ◽

Delay Systems ◽

Linear Matrix ◽

Optimization Approach ◽

Actuator Faults ◽

Sampled Data ◽

Data Control ◽

Sampled Data Control ◽

Data Controller

In this paper, the problem of reliable sampled-data control design with strict dissipativity for a class of linear continuous-time-delay systems against nonlinear actuator faults is studied. The main objective of this paper is to design a reliable sampled-data controller to ensure a strictly dissipative performance for the closed-loop system. Based on the linear matrix inequality (LMI) optimization approach and Wirtinger-based integral inequality, a new set of sufficient conditions is established for reliable dissipativity analysis of the considered system by assuming the mixed actuator fault matrix to be known. Then, the proposed result is extended to unknown fault matrix case. Also, the reliable sampled-data controller with strict dissipativity is designed by solving a convex optimization problem which can be easily solved by using standard numerical algorithms. Finally, a numerical example based on liquid propellant rocket motor with a pressure feeding system model is presented to illustrate the effectiveness of the developed control design technique.

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Exponentially Stable Sampled-Data Control for Uncertain Systems

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.981.551 ◽

2014 ◽

Vol 981 ◽

pp. 551-554

Author(s):

Li Ying Fan

Keyword(s):

Uncertain Systems ◽

Sufficient Conditions ◽

Linear Matrix ◽

Control Input ◽

Sampled Data ◽

Data Control ◽

Sampled Data Control ◽

Exponentially Stable ◽

Data Controller ◽

Continuous Time System

In this paper, the problem of the exponentially stable sampled-data control was investigated for a class of uncertain systems. Based on the input delay approach, the system was modeled as a continuous-time system with the delayed control input. Attention was focused on the design of a state feedback sampled-data controller which guarantees the exponential stability of the closed-loop system for all admissible parametric uncertainties. Using linear matrix inequality (LMI) approach, sufficient conditions are obtained. Simulation example was given to demonstrate the effectiveness and correctness of the proposed method.

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Intermittent Sampled Data Control for Time-Varying Formation-Containment of the Multiagent System with/without Time Delay

Complexity ◽

10.1155/2021/9971855 ◽

2021 ◽

Vol 2021 ◽

pp. 1-9

Author(s):

Ming Chi ◽

Xu-Long Wang ◽

Yangming Dou ◽

Zhi-Wei Liu

Keyword(s):

Multiagent System ◽

Matrix Theory ◽

Sufficient Conditions ◽

Second Order ◽

Intermittent Control ◽

Time Varying ◽

Sampled Data ◽

Data Control ◽

Control Framework ◽

Actual Control

Time-varying formation-containment problems for a second-order multiagent system (SOMAS) are studied via pulse-modulated intermittent control (PMIC) in this paper. A distributed control framework utilizing the neighbors’ positions and velocities is designed so that leaders in the multiagent system form a formation, and followers move to the convex hull formed by each leader. Different from the traditional formation-containment problems, this paper applies the PMIC framework, which is more common and more in line with the actual control scenarios. Based on the knowledge of matrix theory, algebraic graph theory, and stability theory, some sufficient conditions are given for the time-varying formation-containment problem of the second-order multiagent system. Some numerical simulations are proposed to verify the effectiveness of the results presented in this paper.

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Synchronization of a Class of Memristive Stochastic Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays via Sampled-Data Control

Mathematical Problems in Engineering ◽

10.1155/2018/9126183 ◽

2018 ◽

Vol 2018 ◽

pp. 1-24 ◽

Cited By ~ 1

Author(s):

Manman Yuan ◽

Weiping Wang ◽

Xiong Luo ◽

Chao Ge ◽

Lixiang Li ◽

...

Keyword(s):

Neural Networks ◽

Associative Memory ◽

Stochastic Perturbation ◽

Mixed Delays ◽

Time Varying ◽

Sampled Data ◽

Bidirectional Associative Memory ◽

Data Control ◽

Sampled Data Control ◽

Data Controller

The paper addresses the issue of synchronization of memristive bidirectional associative memory neural networks (MBAMNNs) with mixed time-varying delays and stochastic perturbation via a sampled-data controller. First, we propose a new model of MBAMNNs with mixed time-varying delays. In the proposed approach, the mixed delays include time-varying distributed delays and discrete delays. Second, we design a new method of sampled-data control for the stochastic MBAMNNs. Traditional control methods lack the capability of reflecting variable synaptic weights. In this paper, the methods are carefully designed to confirm the synchronization processes are suitable for the feather of the memristor. Third, sufficient criteria guaranteeing the synchronization of the systems are derived based on the derive-response concept. Finally, the effectiveness of the proposed mechanism is validated with numerical experiments.

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Sampled-Data Control of Singular Systems with Time Delays

Abstract and Applied Analysis ◽

10.1155/2014/569878 ◽

2014 ◽

Vol 2014 ◽

pp. 1-10

Author(s):

Zheng Minjie ◽

Zhou Yujie ◽

Yang Shenhua ◽

Li Lina

Keyword(s):

Controller Design ◽

Singular Systems ◽

Singular System ◽

Sufficient Conditions ◽

Positive Definite ◽

Linear Matrix ◽

Sampled Data ◽

Data Control ◽

Exponentially Stable ◽

Data Controller

This paper is concerned with sampled-data controller design for singular systems with time delay. It is assumed that the sampling periods are arbitrarily varying but bounded. A time-dependent Lyapunov function is proposed, which is positive definite at sampling times but not necessarily positive definite inside the sampling intervals. Combining input delay approach with Lyapunov method, sufficient conditions are derived which guarante that the singular system is regular, impulse free, and exponentially stable. Then, the existence conditions of desired sampled-data controller can be obtained, which are formulated in terms of strict linear matrix inequality. Finally, numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

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