Rauh A., Auer E. (Eds.) Modeling, Design, and Simulation of Systems with Uncertainties

Springer-Verlag, Berlin, Heidelberg, 2011. — 375 p. – (Mathematical Engineering) — ISBN: 9783642159558To describe the true behavior of most real-world systems with sufficient accuracy, engineers have to overcome difficulties arising from their lack of knowledge about parts of a process or from the impossibility to characterizeit with absolute certainty. For example, measured parameters of (dynamical) systems cannot be determined exactly due to non-negligible equipment imprecision. Other sources of such model inaccuracies are order reduction techniques for complex systems used to simplify the design of their components and corresponding control algorithms. Therefore, both aleatory (due to randomness) and epistemological (due to the lack of knowledge) types of uncertainty have to be taken into account while developing techniques for a model-based analysis or synthesis of systems.Theoretic Background and Software Implementation
Implementing a Rigorous ODE Solver Through Literate Programming.
A New Method for Inner Estimation of Solution Sets to Interval Linear Systems
Structural Analysis for the Design of Reliable Controllers and State Estimators for Continuous-Time Dynamical Systems with Uncertainties
Analyzing Reachability of Linear Dynamic Systems with Parametric Uncertainties
Robustness Comparison of Tracking Controllers Using Verified Integration
Probabilistic Set-Membership State Estimator
Verified Global Optimization for Estimating the Parameters of Nonlinear Models
Optimal Control of Induction Heating: Theory and Application
Coherent Upper and Lower Conditional Previsions Defined by Hausdorff Outer and Inner Measures
Applications: Uncertainties in Engineering
Two Approaches for Guaranteed State Estimation of Nonlinear Continuous-Time Models
Quantifying Spacecraft Failure in an Uncertain Environment: the Case of Jupiter Europa Orbiter
Robust State and Parameter Estimation for Nonlinear Continuous-Time Systems in a Set-Membership Context
Nonlinear Adaptive Control of a Bioprocess Model with Unknown Kinetics
Verified Analysis of a Model for Stance Stabilization
Adaptive Control Strategies in Heat Transfer Problems with Parameter Uncertainties Based on a Projective Approach
State and Disturbance Estimation for Robust Control of Fast Flexible Rack Feeders