## Control of Complex Systems: Methods and TechnologySince the begining of the sixties, control theorists have developed a large body of knowledge concerning complex or large-scale systems theory. Using the state space approach, their purpose was to extend methods to cope with the increasingly sophisticated automation needs of man-made systems. Despite several remarkable contributions, and some successful applications, it can be stated that this theory has not yet become an engineering tool. On the other hand, the emergence of cheap and reliable microprocessors has profoundly transformed industrial instrumentation and control systems. Process control equipment is organized in multilevel distributed structures, closely related to the concepts introduced by complex systems control theory. This similarity should favor a fruitful intersection for practical applications. However, a gap still exists between the literature on control theory and the world of technological achievements. In the many books on complex systems, few have given attention to the technological aspects of a practical control problem. The present book is an attempt to fill this gap. To do this, it consistently reflects the viewpoints that: - Theory and technology are two indivisible facets of the same problem. -On-line implementation for real time applications is the ultimate goal of a control study. |

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### Contents

COMPLEX CONTROL SYSTEMS | 1 |

BASIC CONCEPTS OF DISCRETETIME OPTIMAL | 11 |

Conclusion | 35 |

Copyright | |

5 other sections not shown

### Common terms and phrases

admissible law algorithm application approach basic BT Pk+i calculus of variations chapter closed-loop complex control problems control systems control theory control trajectories convergence coordination vector corresponding cost function cost-function costate decomposition-coordination decoupling defined discrete discrete-time dynamic programming example feedback gain Figure given Gixinet global hierarchical control implementation information structure initial input instantaneous criterion interaction iterations Lagrange multipliers large-scale systems Linear Quadratic regulator linear systems Local Area Networks loop matrix measures minimizes mixed structure nonlinear programming nonlinear systems obtained on-line open-loop open-loop control operating optimal control optimality conditions optimization problem output feedback parameters partial feedback law performance index plant process control proposed real-time operating system relaxation Riccati equation semaphore solution solved stations subsystem supervisor task techniques temporal decomposition term terminal constraints Titli Token Passing transmission upper level variables xk+i