Download Discrete-Time Linear Systems: Theory and Design with by Guoxiang Gu PDF

By Guoxiang Gu

Discrete-Time Linear platforms: concept and layout with functions combines approach thought and layout that allows you to exhibit the significance of procedure idea and its function in procedure layout. The e-book specializes in process idea (including optimum nation suggestions and optimum country estimation) and process layout (with purposes to suggestions regulate structures and instant transceivers, plus method identity and channel estimation).

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20) That is, PSDs are positive real functions of frequency, even though Ψs (ω ) = Ψs (−ω ) may not hold in the case of complex signals. If the random signals are real, then there holds Ψs (ω ) = Ψs (−ω ) ≥ 0 for all ω . 2 Vector Signals For MIMO communication channels, the data signals are vector-valued, denoted by boldfaced letters, at each sampling time t. Consider the vector signal {s(t)} with size p > 1. If {s(t)} is deterministic, then it is assumed that the energy of the vector signal is bounded.

3 and 5 in which the main results in linear system theory and optimal control/filtering are presented. These two are the most important chapters and are also the most theoretic part of this text. Chapter 4 is concerned with model reduction that is more oriented to feedback control systems. Compared with undergraduate control textbooks, this text clearly has more mathematical depth. The main reason lies in the MIMO nature of the modern control systems that are difficult to analyze and control. Chapters 3 and 5 provide mathematical notions and theory for us to understand MIMO linear systems.

3 in which α (z) indeed has unstable roots. Traditionally, SIT is associated with discretization of continuous-time systems based on which discrete-time feedback controllers are designed and implemented. However, continuous-time controllers are sometime designed first and discretized later prior to their implementation. Although SIT can be used, one may wish to preserve the frequency response, rather than step response, of the feedback controller. This gives rise to the bilinear transform (BT) method for discretization.

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