Computational Aspects of Approximate Explicit Nonlinear Model Predictive Control
Computational Aspects of Approximate Explicit Nonlinear Model Predictive Control
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DOI：
10.1007/978-3-540-72699-9_14
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
A. Grancharova;T. Johansen;P. Tøndel
中科院分区：
文献类型：
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作者：
A. Grancharova;T. Johansen;P. Tøndel
最近的研究表明，线性和二次约束模型预测控制 (MPC) 问题的反馈解决方案具有分段线性 (PWL) 状态反馈的显式表示。对于非线性 MPC，显式解的前景甚至比线性 MPC 更高，因为计算效率和可验证性的好处更加重要。基于多参数非线性规划（mp-NLP）思想，对凸非线性 MPC 问题的近似显式 PWL 解的初步研究表明，实际复杂度的次优 PWL 控制器确实可以离线计算。然而，对于非凸问题，需要研究实用的计算方法，这些方法不一定能保证性能，但与验证和分析方法相结合将为显式 NMPC 的开发和实现提供实用的工具。本文重点关注此类方法的发展。作为案例研究，考虑了所开发的压缩机喘振控制方法的应用。
It has recently been shown that the feedback solution to linear and quadratic constrained Model Predictive Control (MPC) problems has an explicit representation as a piecewise linear (PWL) state feedback. For nonlinear MPC the prospects of explicit solutions are even higher than for linear MPC, since the benefits of computational efficiency and verifiability are even more important. Preliminary studies on approximate explicit PWL solutions of convex nonlinear MPC problems, based on multi-parametric Nonlinear Programming (mp-NLP) ideas show that sub-optimal PWL controllers of practical complexity can indeed be computed off-line. However, for non-convex problems there is a need to investigate practical computational methods that not necessarily lead to guaranteed properties, but when combined with verification and analysis methods will give a practical tool for development and implementation of explicit NMPC. The present paper focuses on the development of such methods. As a case study, the application of the developed approaches to compressor surge control is considered.