Analysis and design of discrete linear control systems.

*(English)*Zbl 0762.93060
Prentice Hall International Series in Systems and Control Engineering. New York: Prentice Hall. viii, 472 p. (1992).

The book solves selected control problems first by means of a state space at the time domain approach, then by the input-output transfer function approach. Following Rosenbrock, the assignment problems are generally posed and solved in most general setting, i.e. for partially ordered reachability or observability indices. Then a special emphasis is given to the “deadbeat” regulator and observer. Afterwards, on the contrary, a regulator with the LQ predictor is treated in detail. No attention is given to the crucial problem of the loop recovery; the problem of robustness which makes the real difference between the system theory and the control design never is even mentioned. The same holds for the numerically stable computations: as this was in satisfactory way solved for the state space approach — based on the work of Francis and Kublanovskaya, it would be very desirable to see a solution for multivariable transfer function approach as well.

Reviewer: A.Vaněček (Praha)

##### MSC:

93C55 | Discrete-time control/observation systems |

93-02 | Research exposition (monographs, survey articles) pertaining to systems and control theory |

93C05 | Linear systems in control theory |

93C35 | Multivariable systems, multidimensional control systems |

93D15 | Stabilization of systems by feedback |