Guaranteed Cost Optimal Control of High-speed Train with Time-delay in Cruise Phase

Tian, Xiangjin; Huang, Deqing; Qin, Na; Gong, Zifeng; Wang, Hongtao

doi:10.1007/s12555-020-0189-z

Cited by 11 publications

(5 citation statements)

References 49 publications

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“…Remark From (10) and (11), it is obvious that the smaller the values of

{J}_1

and

{J}_2

are, the better the tracking performances of the systems (3) and (4) are. Then, because our proposed RAGCT control method mainly focuses on tracking performance optimization rather than energy consumption reduction, unlike these works, 17,23,24 two cost functions (10) and (11) take no account of the control inputs.…”

Section: Preliminariesmentioning

confidence: 99%

“…Remark Differently from References 17,23, and 24, the cost functions (10) and (11) ignore the control input. But, despite all this, main works of this article, Theorems 1 and 2, are also difficult to achieve by using existing GCC if there is not our proposed LSNF.…”

Section: Ragct Control For System (4)mentioning

confidence: 99%

“…The GCC for nonlinear systems with delay and controller gain perturbations was considered in Reference 20; References 21 and 22 investigated the GCC of the stochastic nonlinear ones. In addition, the GCC problems for some practical systems, such as high‐speed train 23 and spacecraft control system, 24,25 have been also solved. Nevertheless, there is a common shortcoming in most existing works about the GCC.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust adaptive guaranteed cost tracking control for high‐order nonlinear systems with uncertainties based on high‐order fully actuated system approaches

Duan

Hou

2023

Intl J Robust & Nonlinear

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This article investigates the robust adaptive guaranteed cost tracking (RAGCT) control problems for two class of high-order nonlinear systems with time-varying uncertainties. A special nonlinear function, named as the local smooth nonlinear function, is introduced, which is crucial for our controller design. Then, using the function and the recently proposed high-order fully actuated (HOFA) system approaches, a novel RAGCT controller for HOFA system with time-varying uncertainty is designed, which guarantees the global boundedness of the closed-loop system within finite time. Then, based on the result about the above HOFA system, the RAGCT controller for a class of strict-feedback systems with high-order form and time-varying uncertainties is obtained, which also guarantees that the closed-loop system is globally bounded within finite time. Most importantly, two designed controllers can preset arbitrarily the upper bounds of cost functions characterizing the tracking performance independent of the system initial values and the time-varying uncertainties, which optimizes greatly the system tracking performance, and is difficult to achieve by using existing guaranteed cost control methods. Finally, two simulation examples including one-link manipulator are provided to show the effect and the practicability of our proposed control method.

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“…Remark From (10) and (11), it is obvious that the smaller the values of

{J}_1

and

{J}_2

Section: Preliminariesmentioning

confidence: 99%

Section: Ragct Control For System (4)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Robust adaptive guaranteed cost tracking control for high‐order nonlinear systems with uncertainties based on high‐order fully actuated system approaches

Duan

Hou

2023

Intl J Robust & Nonlinear

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“…For nonlinear ones, the GCCs of time-delay systems, large-scale systems, and stochastic systems has been investigated, respectively, in Xie and Tang (2006), Niamsup and Phat (2015), Mai and Thanht (2011), Zhang et al (2009), and Zhang and Fang (2008). More recently, Tian et al (2021), Sun et al (2021), and Zhang and Peng (2020) have solved, respectively, the GCC problems of the high-speed train system, the T-S fuzzy system, and the networked control system. However, there is a common shortcoming in most GCCs: the UBCFs are positively correlated with the system initial values, which may lead to bad system performance, and even against practical requirements for control systems when the system initial values are overlarge.…”

Section: Introductionmentioning

confidence: 99%

Adaptive guaranteed cost tracking control for high-order nonlinear systems based on fully actuated system approaches

Hu,

Duan

2023

Transactions of the Institute of Measurement and Control

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This paper considers the adaptive guaranteed cost tracking (AGCT) control problems for two classes of high-order nonlinear systems with unknown parameters. A new local smooth nonlinear function (LSNF) is introduced first, which provides an important mathematical tool for our controller design. Then, based on the LSNF and the high-order fully actuated (HOFA) system approaches, the AGCT controller is designed for HOFA system with unknown parameter, which guarantees that all of the states of the closed-loop HOFA system are globally bounded, and the tracking error is asymptotically convergent. Moreover, the upper bound of cost function (UBCF) characterizing the tracking performance can be arbitrarily preseted, and is completely independent of the system initial value and the unknown parameter, which significantly improves the tracking performance, and is difficult to achieve by using existing guaranteed cost control (GCC). Furthermore, an extra result, the AGCT controller for a class of strict-feedback systems with high-order form and unknown parameters, is obtained in this paper, which also guarantees that the system tracking error is globally asymptotically convergent with the arbitrarily preseted UBCF characterizing the tracking performance. Three simulation examples, including an inverted pendulum, are presented to show the effect and the superiority of the proposed method.

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“…In order to overcome these problems, studies have been conducted to develop algorithms and perform simulations of train automatic operation devices in various ways. Tian 4 proposed a guaranteed cost optimal control technique considering the time delay when the high-speed train is in cruise mode, and Lu 5 applied nonlinear model predictive control to predict the state in which an output occurs to compensate for the delay of sensors and actuators, and Kim 3 applied a Kalman filter to predict the state of the train when an output occurs and perform control accordingly. Hou 6 applied optimal terminal iterative learning control to improve stop control accuracy and showed that the error can be reduced by iterative learning.…”

Section: Introductionmentioning

confidence: 99%

Method to Reduce Errors in High-Speed Simulation for Automatic Train Operation

Kim

2023

Preprint

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The use of simulators is essential for developing control algorithms for prototype trains. Simulators allow for sufficient testing of algorithms before testing on real trains, saving time and money. Recently, researchers have been trying to apply algorithms that require many iterations, such as reinforcement learning, to automatic train operation. For such a large number of iterations, it is important to have a simulator with fast execution time so that more trials can be performed. However, when high-speed simulation is implemented, errors that do not occur in real-time simulation occur, especially the positioning error, and this paper describes the cause of such errors and describes the configuration and interface method of the simulator to reduce the error. The suitability of the proposed algorithm is verified by comparing simulation results with actual train tests and existing simulators.

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Guaranteed Cost Optimal Control of High-speed Train with Time-delay in Cruise Phase

Cited by 11 publications

References 49 publications

Robust adaptive guaranteed cost tracking control for high‐order nonlinear systems with uncertainties based on high‐order fully actuated system approaches

Robust adaptive guaranteed cost tracking control for high‐order nonlinear systems with uncertainties based on high‐order fully actuated system approaches

Adaptive guaranteed cost tracking control for high-order nonlinear systems based on fully actuated system approaches

Method to Reduce Errors in High-Speed Simulation for Automatic Train Operation

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