线性和非线性系统建模

English | 2024 | ISBN: 1119847427 | 613 pages | PDF, True EPUB | 17.61 MB

Mathematical modelling of control systems is, essentially, extracting the essence of practical problems into systematic mathematical language. In system modelling, mathematical expression deals with modelling and its applications. It is characterized that how a modelling competency can be categorized and its activity can contribute to building up these competencies. Mathematical modelling of a practical system is an attractive field of research and an advanced subject with a variety of applications. The main objective of mathematical modelling is to predict the behavior of the system under different operating conditions and to design and implement efficient control strategies to achieve the desired performance.

A considerable effort has been directed to the development of models, which must be understandable and easy to analyze. It is a very difficult task to develop mathematical modelling of complicated practical systems considering all its possible high-level non-linearity and cross couple dynamics. Although mathematical modelling of nonlinear systems sounds quite interesting, it is difficult to formulate the general solution to analyze and synthesize nonlinear dynamical systems. Most of the natural processes are nonlinear, having very high computational complexity of several numerical issues. It is impossible to create any general solution or individual procedure to develop exact modeling of a non-linear system, which is often improper and too complex for engineering practices. Therefore, some series of approximation procedures are used, in order to get some necessary knowledge about the nonlinear system dynamics. There are several complicated mathematical approaches for solving these types of problems, such as functional analysis, differential geometry or the theory of nonlinear differential equations.

This book covers these issues and offers real-world practical solutions for everyday problems encountered by engineers and scientists. Whether for the veteran engineer, scientist in the lab, student, or faculty, this groundbreaking new volume is a valuable resource for researchers and other industry professionals interested in the intersection of mathematical modeling and control systems.

英文| 2024 |国际标准图书编号：1119847427 | 613页| PDF，真EPUB | 17.61 MB 控制系统的数学建模本质上是将实际问题的本质提取到系统的数学语言中。在系统建模中，数学表达式处理建模及其应用。其特征是，如何对建模能力进行分类，以及其活动如何有助于培养这些能力。实际系统的数学建模是一个有吸引力的研究领域，也是一门具有多种应用的高级学科。数学建模的主要目的是预测系统在不同操作条件下的行为，并设计和实施有效的控制策略以实现所需的性能。 已经投入了大量精力开发模型，这些模型必须易于理解和分析。考虑到复杂实际系统可能存在的所有高级非线性和交叉耦合动力学，开发复杂实际系统的数学建模是一项非常困难的任务。虽然非线性系统的数学建模听起来很有趣，但很难制定分析和综合非线性动力系统的通解。大多数自然过程都是非线性的，在几个数值问题上具有很高的计算复杂性。不可能创建任何通用的解决方案或单独的程序来开发非线性系统的精确建模，这对于工程实践来说往往是不合适和过于复杂的。因此，为了获得有关非线性系统动力学的一些必要知识，使用了一系列近似程序。解决这类问题有几种复杂的数学方法，如泛函分析、微分几何或非线性微分方程理论。 本书涵盖了这些问题，并为工程师和科学家遇到的日常问题提供了现实世界的实用解决方案。无论是对于资深工程师、实验室科学家、学生还是教师来说，这本突破性的新书都是研究人员和其他对数学建模和控制系统交叉感兴趣的行业专业人士的宝贵资源。

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