Robust control and filtering for time-delay systems.

*(English)*Zbl 0969.93002
Control Engineering (Boca Raton) 5. New York, NY: Marcel Dekker. 448 p. (2000).

The book is devoted to the problems of stability, stabilization, robust control design and filtering of linear continuous-time and discrete-time systems with time delays and both parametric and structural uncertainties. Some very special problems of nonlinear uncertain time-delay systems are also considered. The author presents a state-space approach to the analysis and design of uncertain systems. The methodology includes:

1) Lyapunov type and linear matrix inequality based techniques for analysis of delay-independent and delay-dependent stability of both continuous and discrete-time systems and the design of robustly stabilizing controllers for such systems using both state-feedback and dynamic output feedback.

2) \(H_\infty\) methods for robust stability and robust performance analysis as well as robust control design.

3) Guaranteed cost control techniques including Lyapunov type methods and observer-based design.

4) Robust filtering of Kalman and \(H_\infty\) type.

5) Large scale system and decentralized control techniques used to design control laws and filtering for interconnected time-delay systems.

All theoretical studies are appended by a number of simulation examples performed using MATLAB and LMI control software. The book is no difficult reading and could be advised for doctoral studies in control engineering and related topics.

1) Lyapunov type and linear matrix inequality based techniques for analysis of delay-independent and delay-dependent stability of both continuous and discrete-time systems and the design of robustly stabilizing controllers for such systems using both state-feedback and dynamic output feedback.

2) \(H_\infty\) methods for robust stability and robust performance analysis as well as robust control design.

3) Guaranteed cost control techniques including Lyapunov type methods and observer-based design.

4) Robust filtering of Kalman and \(H_\infty\) type.

5) Large scale system and decentralized control techniques used to design control laws and filtering for interconnected time-delay systems.

All theoretical studies are appended by a number of simulation examples performed using MATLAB and LMI control software. The book is no difficult reading and could be advised for doctoral studies in control engineering and related topics.

Reviewer: A.Šwierniak (Gliwice)

##### MSC:

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

93B51 | Design techniques (robust design, computer-aided design, etc.) |

93C23 | Control/observation systems governed by functional-differential equations |

93D09 | Robust stability |

93A15 | Large-scale systems |

93A14 | Decentralized systems |

93E11 | Filtering in stochastic control theory |

93D21 | Adaptive or robust stabilization |

93B36 | \(H^\infty\)-control |

93B07 | Observability |

15A39 | Linear inequalities of matrices |