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**Digital control and estimation. A unified approach.**
*(English)*
Zbl 0754.93053

Prentice-Hall International Editions. Englewood Cliffs, NJ: Prentice-Hall International. xvi, 538 p. (1990).

The authors approach the topics of control and estimation in an unified manner by the extensive use of the \(\delta\) operator defined through the relation \(\delta={q+1\over \Delta}\) where \(q\) is the forward shift operator and \(\delta\) the sampling period. Thus the similarities between the continuous and discrete cases are highlighted as the continuous case is the limit of the discrete one as \(\Delta\to 0\).

The book covers in a very clear and attractive style a large variety of topics among which continuous and discrete time models, transform techniques, transfer functions and frequency response, time and frequency domain control system analysis, pole assignment, optimal state estimation and optimal control, parameter estimation and design considerations, topics concerning implementations of digital control and an industrial case study.

The book ends with several apendices. Each chapter ends with a summary, references and problems. Part of the book can be used for a first undergraduate course in digital control. The remaining part could form the basis of one or more graduate courses in advanced control and estimation. The prerequisite for the “undergraduate” part of the text is an elementary mathematical background in Linear Algebra, Differential Equations Calculus and Complex Numbers. The other part depends upon additional background normally available to graduate students. The new approach presented in the book is of major assistance in both theory and practice. The book is a valuable tool for students wanting to learn the theory of continuous and discrete systems in a sound way. We strongly recommend the book to the interested reader.

The book covers in a very clear and attractive style a large variety of topics among which continuous and discrete time models, transform techniques, transfer functions and frequency response, time and frequency domain control system analysis, pole assignment, optimal state estimation and optimal control, parameter estimation and design considerations, topics concerning implementations of digital control and an industrial case study.

The book ends with several apendices. Each chapter ends with a summary, references and problems. Part of the book can be used for a first undergraduate course in digital control. The remaining part could form the basis of one or more graduate courses in advanced control and estimation. The prerequisite for the “undergraduate” part of the text is an elementary mathematical background in Linear Algebra, Differential Equations Calculus and Complex Numbers. The other part depends upon additional background normally available to graduate students. The new approach presented in the book is of major assistance in both theory and practice. The book is a valuable tool for students wanting to learn the theory of continuous and discrete systems in a sound way. We strongly recommend the book to the interested reader.

Reviewer: L.Goras (Iaşi)

### MSC:

93C62 | Digital control/observation systems |

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

49-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control |

93C55 | Discrete-time control/observation systems |

93B55 | Pole and zero placement problems |

93B17 | Transformations |