Robustness in Identification and Control

1. Front Matter

   Pages i-viii

   PDF

2. Robust Identification and Complexity

   1. Front Matter

      Pages 1-1

      PDF

   2. Estimation and Prediction in the Presence of Unknown but Bounded Uncertainty: A Survey

      • M. Milanese

      Pages 3-24

   3. Optimal Sampling Design for Parameter Estimation and P-Widths under Stochastic and Deterministic Noise

      • Charles A. Micchelli

      Pages 25-40

   4. How Useful is Nonadaptive Information for Ordinary Differential Equations?

      • Boleslaw Z. Kacewicz

      Pages 41-47

   5. Fast Algorithms for the Computation of Fixed Points

      • K. Sikorski

      Pages 49-58

   6. Bounding Techniques for Model-Structure Selection

      • J. P. Norton

      Pages 59-65

   7. Robust Linear and Nonlinear Parameter Estimation in the Bounded-Error Context

      • Eric Walter, Hélène Piet-Lahanier

      Pages 67-76

3. Robust Stability and Control

   1. Front Matter

      Pages 77-77

      PDF

   2. Generalized Nyquist Tests for Robust Stability: Frequency Domain Generalizations of Kharitonov’s Theorem

      • John J. Anagnost, Charles A. Desoer, Robert J. Minnichelli

      Pages 79-96

   3. Extending Kharitonov’s Theorem to More General Sets of Polynomials

      • Ian R. Petersen

      Pages 97-108

   4. Strong Kharitonov Theorem for Discrete Systems

      • M. Mansour, F. Kraus, B. D. O. Anderson

      Pages 109-124

   5. Polytopes of Polynomials with Zeros in a Prescribed Region: New Criteria and Algorithms

      • Minyue Fu

      Pages 125-145

   6. Robustness Bounds for Classes of Structured Perturbations

      • A. Vicino, A. Tesi

      Pages 147-163

   7. Markov’s Theorem of Determinants and the Stability of Families of Polynomials

      • C. V. Hollot

      Pages 165-181

   8. An Application of State Space Methods to Obtain Explicit Formulae for Robustness Measures of Polynomials

      • D. Hinrichsen, A. J. Pritchard

      Pages 183-206

   9. Robust Stability and Stabilization of Interval Plants

      • Hervé Chapellat, S. P. Bhattacharyya

      Pages 207-229

   10. Shaping Conditions and the Stability of Systems with Parameter Uncertainty

       • T. E. Djaferis, C. V. Hollot

       Pages 231-241

   11. Structured and Simultaneous Lyapunov Functions for System Stability Problems

       • Stephen Boyd, Qinping Yang

       Pages 243-262

   12. Robust Stability of Polynomials with Multilinear Parameter Dependence

       • F. J. Kraus, M. Mansour, B. D. O. Anderson

       Pages 263-280

This volume collects most of the papers presented at the International Workshop on Robustness in Identification and Control, held in Torino (Italy) in 1988. The main focal point of the workshop was Unknown But Bounded uncertainty and associated robustness issues in identification and control. Recent years have seen a growing interest in studying models which include un­ known but bounded uncertainty. The motivation for dealing with such models is derived from robustness considerations. In many applications, some performance specification must be met for all admissible variations of the uncertain parameters. A second motivation for models with this type of uncertainty stems from the fact that the statistical description of uncertain variables may not be well known or even not suitable. For example, in some cases, only a small number of measurements is available and the resulting errors are due to analog-digital conversion, modelling ap­ proximation or round-off, so that a statistical description may actually be unreliable. The interest in unknown but bounded setting is certainly not new. In fact, en­ gineering practice demands for appropriate algorithms in dealing with finite sample properties, finite parameter variations, tolerance analysis, etc. Despite the natural need for such methods, the lack of sufficiently well assessed theoretical results and algorithms prevented a systematic use of these procedures until recent years. How­ ever, in the last few years, important advances have been made both in estimation theory and in stability analysis.

• Italy
• Natural
• Statistica
• Volume
• algorithms
• boundary element method
• control
• conversion
• modeling
• motivation
• paper
• performance
• stability
• tolerance
• value-at-risk

• Turin Polytechnic, Turin, Italy

  M. Milanese, R. Tempo

• University of Florence, Florence, Italy

  A. Vicino

Policies and ethics