Complexity Analysis of the Piece-Wise Affine Approximation for the Car on the Nonlinear Hill Model Related to Discrete-Time, Minimum Time Control Problem

Orlowski P.

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Complexity Analysis of the Piece-Wise Affine Approximation for the Car on the Nonlinear Hill Model Related to Discrete-Time, Minimum Time Control Problem

机译：与离散时间，最小时间控制问题有关的非线性Hill模型上汽车的分段仿射近似的复杂性分析

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The main aim of the paper is to analyse effectiveness of the approximation method from the nonlinear discretised into discrete piece-wise affine model. Accuracy and numerical complexity of the piece-wise affine control system grow with the number of polyhedral partitions, that describe the system. The model with state dependent nonlinearity can be effectively approximated by proposed secant piece-wise linear approximation. The effectiveness of the proposed method is evaluated on the car on the nonlinear hill model.

机译：本文的主要目的是从非线性离散化为离散分段仿射模型分析近似方法的有效性。分段仿射控制系统的精度和数值复杂度随描述该系统的多面体分区的数量而增加。提出的割线分段线性逼近可以有效地逼近具有状态相关非线性的模型。在非线性希尔模型上，在汽车上评估了该方法的有效性。

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《Elektronika ir Elektrotechnika》 |2014年第10期|共4页
作者
Orlowski P.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
Predictive control; optimisation; piecewise linear approximation; discrete-time systems;

机译：预测控制;优化;分段线性逼近;离散系统;

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专利

1. Complexity Analysis of the Piece-Wise Affine Approximation for the Car on the Nonlinear Hill Model Related to Discrete-Time, Minimum Time Control Problem [J] . Orlowski P. Elektronika ir Elektrotechnika . 2014,第10期

机译：与离散时间，最小时间控制问题有关的非线性Hill模型上汽车的分段仿射近似的复杂性分析
2. Fuzzy-model-based admissibility analysis and output feedback control for nonlinear discrete-time systems with time-varying delay [J] . Jian Chen, Chong Lin, Bing Chen, Information Sciences: An International Journal . 2017,第期

机译：基于模糊模型的非线性离散时间系统的允许反馈控制，时变延迟
3. Approximate model predictive control laws for constrained nonlinear discrete-time systems: Analysis and offline design [J] . Pin G., Filippo M., Pellegrino F.A., International Journal of Control . 2013,第4a6期

机译：约束非线性离散时间系统的近似模型预测控制律：分析和离线设计
4. A nonlinear internal model controller for affine nonlinear discrete-time systems [C] . C. Othman, I. B. Cheikh, Hajer Bouzaouache International Conference on Sciences and Techniques of Automatic Control and Computer Engineering . 2016

机译：仿射非线性离散时间系统的非线性内部模型控制器
5. Nonlinear adaptive control of discrete-time systems using neural networks and multiple models. [D] . Chen, Lingji. 2001

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6. Fuzzy ... formula ... output-feedback control for the discrete-time system with channel fadings sector nonlinearities and randomly occurring interval delays and nonlinearities [O] . Xiaozheng Fan, Yan Wang, Manfeng Hu -1

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7. Data-Driven Model-Free Adaptive Predictive Control for a Class of MIMO Nonlinear Discrete-Time Systems With Stability Analysis [O] . Yuan Guo, Zhongsheng Hou, Shida Liu, 2019

机译：具有稳定性分析的一类MIMO非线性离散系统的数据驱动的无模型自适应预测控制

Complexity Analysis of the Piece-Wise Affine Approximation for the Car on the Nonlinear Hill Model Related to Discrete-Time, Minimum Time Control Problem

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