By George A. Perdikaris (auth.)

ISBN-10: 9048141001

ISBN-13: 9789048141005

ISBN-10: 9401579296

ISBN-13: 9789401579292

The basic goal of the e-book is to supply complicated undergraduate or frrst-year graduate engineering scholars with a self-contained presentation of the foundations basic to the research, layout and implementation of machine managed platforms. the fabric is additionally appropriate for self-study by means of training engineers and is meant to stick with a primary direction in both linear platforms research or keep watch over systerns. A secondary aim of the booklet is to supply engineering and/or computing device technological know-how audiences with the fabric for a junior/senior-level path in glossy structures research. Chapters 2, three, four, and five were designed with this purposein rnind. The emphasis in one of these direction is to improve the rnathernatical instruments and strategies compatible for the research and layout of real-time platforms equivalent to electronic filters. hence, engineers and/or laptop scientists who know the way to application pcs can comprehend the maths correct to the difficulty of what it really is they're programrning. this is often specially vital if you happen to may fit in engineering and clinical environments the place, for example, programrning distinction equations for real-time purposes is becorning more and more universal. A historical past in linear algebra will be an enough prerequisite for the structures research direction. bankruptcy 1 of the ebook provides a short creation to machine managed structures. It describes the overall concerns and terminology proper to the research, layout, and implementation of such systems.

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**Extra resources for Computer Controlled Systems: Theory and Applications**

**Example text**

The main objective of system analysis is the development of a suitable mathematical model. , to obtain appropriate mathematical relationships that represent the system. The resulting equations are then solved to determine and evaluate system response characteristics due to common types of inputs. Obtaining system characteristics that meet certain performance requirements is the basic goal of system design. 9lpp{ications 25 There are several types of mathematical models and solution methods available for determining the characteristics of linear systems.

Systems: lJ'fieory ant! ications 43 The characteristic root is s 1=-5 and the complementary solution becomes Next, we must fmd the particular solution. The right-hand side of the original equation consists of the constant 10, which implies that the root that contributed this constant is zero, or s} =0 This root is real and distinct because it is different from the only other root, that is, s 1=5. Therefore, the particular solution is Yp(t) = A where A is an arbitrary constant To find A, we substitute Yp(t) and its derivative into the original equation.

In the following sections, some common electrical, mechanical, and control systems are used as examples to help illustrate how physical systems can be modeled using differential equations. Similar mathematical models can be developed for other types of systems. 2-1 Electrical Networks Consider the passive RC network shown in Fig. 2-la. The input of the system is the applied voltage v 1(t) and the output is the voltage across the capacitor v 2(t). 2-2) Eq. 2-2) is the desired differential equation model of the RC network.

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