The Dynamics of Automatic Control Systems - download pdf or read online

By E. P. Popov and A. D. Booth (Auth.)

ISBN-10: 0080095887

ISBN-13: 9780080095882

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Extra resources for The Dynamics of Automatic Control Systems

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31c and the graph of Fig. 29c represent a possible relay type non-linear pulse circuit since the magnitude and duration of pulses is constant but only the sign varies, as in the relay characteristic of type 6 in Fig. 24. 6. Processes in linear systems We shall first define certain basic concepts to be employed in further discussion. Regulation process, transient response and steady-state response. 1) where the coefficients of the operational polynomials are defined by the parameters of the system.

21) respectively. Thus, using functions of the form of the unit step it is possible to describe the instantaneous application of arbitrary forces to the systems. Initial conditions. 1), the initial conditions, as is well known, should be given in the form x = x0, x = x0, # = # 0 , . . e. the degree of the operational polyno­ mial L(p); the indices (n—1), (n—2),... here denote the time deriva­ tives of corresponding order, while the index 0 denotes their values at t = 0. g. Example 1 at the end of this paragraph).

This characteristic in individual cases may also be approximately substituted by a piecewise-linear or relay characteristic. e. linearised. Curved characteristics may also have hysteresis loops. This category also includes non-linear circuits the dynamics of which are described by non-linear equations containing the products 4 36 The Dynamics of Automatic Control Systems of variables or their derivatives and various more complicated combinations. These equations may also frequently be linearised.

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The Dynamics of Automatic Control Systems by E. P. Popov and A. D. Booth (Auth.)


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