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**Automatic control systems. 4th ed.**
*(English)*
Zbl 0542.93001

Englewood Cliffs, New Jersey: Prentice-Hall, Inc. XI, 721 p. $ 49.90 (1982).

This introductory text in the area of systems and control is the fourth edition of a well-established text for undergraduate control engineers. (For a review of the third edition (1964) see Zbl 0126.10801.) The text covers basic control concepts, the elements of complex variable methods and the Laplace transformation, elementary matrix methods and classical z-transform method, the elements of mathematical modelling and selected topics in control systems analysis and design. These topics include a comprehensive treatment of classical root-locus methods, frequency domain analysis, time domain analysis of control systems with detailed results for first, second and third order ’canonical’ systems and an introduction to state space techniques. The mathematical level is elementary.

The text differs from previous editions primarily in the omission of any treatment of optimal control and an increased emphasis on digital control design using z-transfer functions. The author chooses to treat discrete system design by building on the described results for continuous systems. This technique illustrates the relationship between the methodologies, but does tend to produce a less detailed treatment of the digital case when compared with specialist text in digital control.

The text is a well-presented and fairly comprehensive introduction to the area that will be welcome to readers and teachers of control engineering. There are many problems suitable for testing understanding and stretching the concepts a little further. The omission of optimal control will not be to everyone’s liking and the limitation of state variable analysis to obtaining system response and evaluation of transfer functions does not reveal the true power of the methods. The reference list in particular in this area is weak and somewhat out-of-date. This criticism can be extended to other aspects of the text. In particular the author has missed an excellent opportunity to introduce some of the modern frequency-domain methods of design for multivariable systems and reveal to the student, by the use of references, the wide possibilities of extension of classical methodologies to this situation.

The text differs from previous editions primarily in the omission of any treatment of optimal control and an increased emphasis on digital control design using z-transfer functions. The author chooses to treat discrete system design by building on the described results for continuous systems. This technique illustrates the relationship between the methodologies, but does tend to produce a less detailed treatment of the digital case when compared with specialist text in digital control.

The text is a well-presented and fairly comprehensive introduction to the area that will be welcome to readers and teachers of control engineering. There are many problems suitable for testing understanding and stretching the concepts a little further. The omission of optimal control will not be to everyone’s liking and the limitation of state variable analysis to obtaining system response and evaluation of transfer functions does not reveal the true power of the methods. The reference list in particular in this area is weak and somewhat out-of-date. This criticism can be extended to other aspects of the text. In particular the author has missed an excellent opportunity to introduce some of the modern frequency-domain methods of design for multivariable systems and reveal to the student, by the use of references, the wide possibilities of extension of classical methodologies to this situation.

Reviewer: D.Owens

### MSC:

93-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory |

93B50 | Synthesis problems |

93C55 | Discrete-time control/observation systems |

93B17 | Transformations |

93B10 | Canonical structure |