By Yoshifumi Okuyama (auth.)

ISBN-10: 1447156668

ISBN-13: 9781447156666

ISBN-10: 1447156676

ISBN-13: 9781447156673

Discrete keep an eye on platforms establishes a foundation for the research and layout of discretized/quantized regulate structures for non-stop actual structures. starting with the mandatory mathematical foundations and system-model descriptions, the textual content strikes directly to derive a powerful balance . to maintain a realistic point of view at the doubtful actual platforms thought of, many of the tools handled are performed within the frequency domain.

As a part of the layout process, changed Nyquist–Hall and Nichols diagrams are provided and discretized proportional–integral–derivative keep an eye on schemes are reconsidered. Schemes for model-reference suggestions and discrete-type observers are proposed. even if single-loop suggestions structures shape the middle of the textual content, a few attention is given to a number of loops and nonlinearities. The strong keep an eye on functionality and balance of period structures (with a number of uncertainties) are outlined.

Finally, the monograph describes the connection among feedback-control and discrete occasion structures. The nonlinear phenomena linked to virtually vital event-driven platforms are elucidated. The dynamics and balance of finite-state and discrete-event platforms are defined.

Academic researchers drawn to the makes use of of discrete modelling and regulate of constant structures will locate Discrete keep an eye on platforms instructive. The inclusion of end-of-chapter difficulties additionally makes the ebook compatible to be used in self learn both by means of specialist keep watch over engineers or graduate scholars supplementing a extra formal routine of learning.

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Additional resources for Discrete Control Systems

Example text

10 Nonlinear characteristics and discretized outputs β= Kmax − Kmin = Kmax − K. 9) By partitioning nonlinear characteristic Nd (·), a single-loop control system can be drawn as shown in Fig. 11. It can also be drawn in regard to the discretized input as shown in Fig. 12. In the figure, discretized input e† is assumed to be determined as follows: e = e† , when e† ≤ e < e† + γ . In this case, the nominal gain and the sector parameter will be given as follows: 52 2 Discretized Feedback Systems Fig.

122) D Sampling Theorem 43 Fig. 23 Frequency shifting and spectrum Fig. 24 Frequency responses of the sampling the frequency spectrum is duplicated (in other words “folded”) as shown in Fig. 24(b), and the modulated signal cannot be transmitted without losing its information. Thus, it is difficult to recover the original signal. , ωs > ωc . 123) 2 This is called Shannon’s sampling theorem. Systems with Transmission Delay In regard to control systems with transmission delay, the above concept should be revised as follows.

92) is called a characteristic equation, and λ is called a characteristic root. Quadratic Form With respect to a square matrix A, Rn → R, can be defined: ⎡ a11 a12 ⎢a21 a22 ⎢ Q(x) = x T Ax = x1 x2 . . xn ⎢ . ⎣ .. an1 n an2 the following function, ... .. ⎤⎡ ⎤ x1 a1n ⎢ x2 ⎥ a2n ⎥ ⎥⎢ ⎥ .. ⎥ ⎢ .. ⎥ . ⎦⎣ . ⎦ ... 93) 38 1 Mathematical Descriptions and Models which corresponds to the equation of an ellipse and a hyperbola. The value of the function is scalar, and is considered the inner product of Ax and x.

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Discrete Control Systems by Yoshifumi Okuyama (auth.)


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