Stabilization of pure unstable delay systems by the mirror mapping technique

Zhang, Xianku; Zhang, Guoqing

doi:10.1016/j.jprocont.2013.09.021

Cited by 15 publications

(8 citation statements)

References 8 publications

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“…It is necessary to investigate stability and limitations on performance imposed by RHP zeros and poles. Mirror-mapping technique provides a novel design tool in [16][17][18][19]. The basic principle is that the largest singular value curve of the mirror-mapping process is similar to one of the original unstable process.…”

Section: System Stabilization Processmentioning

confidence: 99%

“…To control these mapped stable one, the same effectiveness could be achieved. In [17], robust control method was addressed for a class of pure unstable system with time delay by mirror-mapping technique. A general scheme was proposed in [18] for the high order unstable delay process with one or more positive poles, using the mirror mapping technique.…”

Section: Introductionmentioning

confidence: 99%

“…The work in this paper is inspired by [16][17][18][19]. This applies the mirror-mapping technique and CGSA to LNG carrier pressure control system that is an unstable nonlinear system with time delay.…”

Section: Introductionmentioning

confidence: 99%

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Robust Control of Pressure for LNG Carrier Cargo Handling System via Mirror‐Mapping Approach

et al. 2018

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The pressure control for a liquid nature gas (LNG) ship is vital for the cargo handling system which is a nonlinear, unstable, and controllable complex system accompanied by the dynamics of time delay. To improve the control effect, this article proposed a robust controller based on closed-loop gain shaping algorithm by mirror-mapping approach. In addition, the complete mechanism models for the system are established to predict the changes of temperature, pressure, and liquid inventory in the cargo tank. The heat exchanges and evaporation of liquid are also considered. By collecting the data from the LNG ship "Dapeng," the system models are validated. At the same time, the comparative experiment is introduced to verify the reliability and effectiveness. The scheme has been compared with the 2-DOF structure control law of modified Smith predictor. The comparative experimental results show that the scheme proposed in this note has a strong disturbance rejection ability and steady-state performance. The controller designed in this note has advantages of simplified construction method, satisfactory control effect and robustness.

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Section: System Stabilization Processmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Robust Control of Pressure for LNG Carrier Cargo Handling System via Mirror‐Mapping Approach

et al. 2018

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“…There is the right half plane (RHP) pole at s = T 0 in Equation (5), hence the system is unstable. In Equation (6), G(s) is obtained with the mirror mapping technique proposed in reference [24][25][26][27].…”

Section: Problem Formulation and Controller Designmentioning

confidence: 99%

Pressure Control of Insulation Space for Liquefied Natural Gas Carrier with Nonlinear Feedback Technique

Cao

Zhang

Zou

2018

JMSE

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This paper introduces a novel control strategy into the insulation space for liquid natural gas carriers. The control strategy proposed can improve the effects of control for differential pressure and reduce the energy consumption of nitrogen. The method combines a nonlinear feedback technique with a closed-loop gain shaping algorithm (CGSA). It is designed for the pressure control system which is vital for liquid natural gas carriers (LNGCs) in marine transportation. The control error is modulated using nonlinear function. The deviation signal is replaced with a nonlinear feedback signal. Comparison experiments are conducted under different conditions to prove the effectiveness of this strategy. This paper compares three control strategies: a control strategy with nonlinear feedback based on CGSA, a control strategy without nonlinear feedback based on CGSA, and a two-degree-of-freedom (DOF) control strategy. The simulation results show that this control strategy with nonlinear feedback performs better than the other two. The average reduction of control input is about 38.8%. The effect of pressure control is satisfactory.

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“…unstable FOPTD models) since it is well-known that the performance specifications obtained for a stable model cannot work for an unstable processes. Therefore, many methods have been developed for stabilizing unstable processes including the modified Ziegler-Nichols method [10], mirror mapping [11], truncated predictor feedback control [12], smith predictor based control [13], PID-based controllers [14][15][16][17][18], IMC method [19,20], optimization-based methods [21,22], synthesis method [23], sliding mode control [24,25], and the fuzzy-neural approach [26]. Most of the above methods have additional * Tel.…”

Section: Introductionmentioning

confidence: 99%

Variable structure controllers for unstable processes

Ablay

2015

Journal of Process Control

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Stabilization of pure unstable delay systems by the mirror mapping technique

Cited by 15 publications

References 8 publications

Robust Control of Pressure for LNG Carrier Cargo Handling System via Mirror‐Mapping Approach

Robust Control of Pressure for LNG Carrier Cargo Handling System via Mirror‐Mapping Approach

Pressure Control of Insulation Space for Liquefied Natural Gas Carrier with Nonlinear Feedback Technique

Variable structure controllers for unstable processes

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