Control of Uncertain Systems

Invoking the machinery of Control Theory to control a real-world plant means, on the basis of available a priori knowledge of the plant, design ing/selecting a feasible controller accomplishing the control objective. A priori knowledge about the plant is normally represented as a mathemat ical model, given by physical laws or measurement data. Such a model is inevitably uncertain, due to measurement errors, simplified models of natural laws, neglected dynamics, and the desire to get a model tractable for further computations. Control of Uncertain Systems is therefore an im portant issue, both practically and philosophically. Basically, two different approaches exist: Adaptive Control and Robust Control. On four beautiful summer days in June 1989, researchers from 12 coun tries gathered together in Bremen, West Germany, for a workshop devoted to these issues. 49 talks, invited and contributed, were presented. The present work collects 18 of these talks. (Program and original abstracts from the workshop are available as Report 209, Institute for Dynamical System.) The papers represent a broad scope of current trends in robust and adaptive control. Topics covered include: New directions in adaptive control, stability analysis of uncertain systems, robust and adaptive stabi lization, numerical methods, and topological aspects of robust control. The papers were carefully refereed and we would like to thank the referees for their efforts, which have resulted in substantial improvements.

Contenu
Robust Stabilization of a Flexible Beam Model Using a Normalized Coprime Factorization Approach.- Stability Radii and Lyapunov Exponents.- Topological Aspects of Robust Control.- Robust Stabilization in the Gap Metric.- Some Preliminary Results on Connecting Identification and Robust Control.- Adaptive Tracking for Scalar Minimum Phase Systems.- Real and Complex Stability Radii: A Survey.- Stabilization of Uncertain Sampled-Data Systems.- Inverse Radial Matrices and Maximal Stability Robustness.- Adaptive Control of a Family of Plants.- Predictive and LQG Optimal Control: Equivalences, Differences and Improvements.- Discontinuous Feedback and Universal Adaptive Stabilization.- Robust Stability of Complex Families of Matrices or Polynomials.- Application of Analytic Centers to Feedback Design for Systems with Uncertainties.- Constant McMillan Degree and the Continuous Stabilization of Families of Transfer Matrices.- Adaptive Control of Time-Varying and Nonlinear Systems Using a Multi-Model Approach.- Robust Stabilization and Disturbance Rejection for Uncertain Systems by Decentralized Control.- Robust Stability of Linear State Space Models Via Bernstein Polynomials.