Ebook: Robustness in Identification and Control

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.

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Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Estimation and Prediction in the Presence of Unknown but Bounded Uncertainty: A Survey....Pages 3-24
Optimal Sampling Design for Parameter Estimation and P-Widths under Stochastic and Deterministic Noise....Pages 25-40
How Useful is Nonadaptive Information for Ordinary Differential Equations?....Pages 41-47
Fast Algorithms for the Computation of Fixed Points....Pages 49-58
Bounding Techniques for Model-Structure Selection....Pages 59-65
Robust Linear and Nonlinear Parameter Estimation in the Bounded-Error Context....Pages 67-76
Front Matter....Pages 77-77
Generalized Nyquist Tests for Robust Stability: Frequency Domain Generalizations of Kharitonov’s Theorem....Pages 79-96
Extending Kharitonov’s Theorem to More General Sets of Polynomials....Pages 97-108
Strong Kharitonov Theorem for Discrete Systems....Pages 109-124
Polytopes of Polynomials with Zeros in a Prescribed Region: New Criteria and Algorithms....Pages 125-145
Robustness Bounds for Classes of Structured Perturbations....Pages 147-163
Markov’s Theorem of Determinants and the Stability of Families of Polynomials....Pages 165-181
An Application of State Space Methods to Obtain Explicit Formulae for Robustness Measures of Polynomials....Pages 183-206
Robust Stability and Stabilization of Interval Plants....Pages 207-229
Shaping Conditions and the Stability of Systems with Parameter Uncertainty....Pages 231-241
Structured and Simultaneous Lyapunov Functions for System Stability Problems....Pages 243-262
Robust Stability of Polynomials with Multilinear Parameter Dependence....Pages 263-280
Stability Conditions for Polynomials VIA Quadratic Inequalities in their Coefficients....Pages 281-286
Boundary Implications for Interval Positive Rational Functions: Preliminaries....Pages 287-291
Guaranteeing Ultimate Boundedness and Exponential Rate of Convergence for a Class of Uncertain Systems....Pages 293-301
Front Matter....Pages 77-77
On Measures of Stability Robustness for Linear Uncertain Systems....Pages 303-310
Robust Stabilization of Linear Time-Invariant Systems Via Linear Control....Pages 311-319
U-Parameter Design: Feedback System Design with Guaranteed Robust Stability....Pages 321-327
New Criteria for Robust Stability....Pages 329-337
Back Matter....Pages 339-341

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Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Estimation and Prediction in the Presence of Unknown but Bounded Uncertainty: A Survey....Pages 3-24
Optimal Sampling Design for Parameter Estimation and P-Widths under Stochastic and Deterministic Noise....Pages 25-40
How Useful is Nonadaptive Information for Ordinary Differential Equations?....Pages 41-47
Fast Algorithms for the Computation of Fixed Points....Pages 49-58
Bounding Techniques for Model-Structure Selection....Pages 59-65
Robust Linear and Nonlinear Parameter Estimation in the Bounded-Error Context....Pages 67-76
Front Matter....Pages 77-77
Generalized Nyquist Tests for Robust Stability: Frequency Domain Generalizations of Kharitonov’s Theorem....Pages 79-96
Extending Kharitonov’s Theorem to More General Sets of Polynomials....Pages 97-108
Strong Kharitonov Theorem for Discrete Systems....Pages 109-124
Polytopes of Polynomials with Zeros in a Prescribed Region: New Criteria and Algorithms....Pages 125-145
Robustness Bounds for Classes of Structured Perturbations....Pages 147-163
Markov’s Theorem of Determinants and the Stability of Families of Polynomials....Pages 165-181
An Application of State Space Methods to Obtain Explicit Formulae for Robustness Measures of Polynomials....Pages 183-206
Robust Stability and Stabilization of Interval Plants....Pages 207-229
Shaping Conditions and the Stability of Systems with Parameter Uncertainty....Pages 231-241
Structured and Simultaneous Lyapunov Functions for System Stability Problems....Pages 243-262
Robust Stability of Polynomials with Multilinear Parameter Dependence....Pages 263-280
Stability Conditions for Polynomials VIA Quadratic Inequalities in their Coefficients....Pages 281-286
Boundary Implications for Interval Positive Rational Functions: Preliminaries....Pages 287-291
Guaranteeing Ultimate Boundedness and Exponential Rate of Convergence for a Class of Uncertain Systems....Pages 293-301
Front Matter....Pages 77-77
On Measures of Stability Robustness for Linear Uncertain Systems....Pages 303-310
Robust Stabilization of Linear Time-Invariant Systems Via Linear Control....Pages 311-319
U-Parameter Design: Feedback System Design with Guaranteed Robust Stability....Pages 321-327
New Criteria for Robust Stability....Pages 329-337
Back Matter....Pages 339-341
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