论文信息 - Structural Analysis for the Design of Reliable Controllers and State Estimators for Uncertain Dynamical Systems

Structural Analysis for the Design of Reliable Controllers and State Estimators for Uncertain Dynamical Systems

The task of designing feedforward control strategies for finite-dimensional systems in such a way that the output variables match predefined trajectories can be formulated in terms of an initial value problem (IVP) for a set of differential-algebraic equations (DAEs). The same holds for the reconstruction of internal variables and parameters on the basis of measured data. In this contribution, we discuss criteria for the solvability of both DAE problems and their relations to controllability and observability of dynamical systems. The practical applicability of this type of problem formulation is demonstrated by numerical results.

Andreas Rauh | Harald Aschemann | H. Aschemann | A. Rauh

[1] Andreas Rauh,et al. Interval arithmetic techniques for the design of controllers for nonlinear dynamical systems with applications in mechatronics. II , 2010 .

[2] A. Isidori. Nonlinear Control Systems , 1985 .

[3] Andreas Rauh,et al. Interval Approaches to Reliable Control of Dynamical Systems , 2009, Computer-assisted proofs - tools, methods and applications.

[4] Andreas Rauh,et al. Verification Techniques for Sensitivity Analysis and Design of Controllers for Nonlinear Dynamic Systems with Uncertainties , 2009, Int. J. Appl. Math. Comput. Sci..

[5] N. Nedialkov,et al. Solving Differential-Algebraic Equations by Taylor Series (I): Computing Taylor Coefficients , 2005 .

[6] N. Nedialkov,et al. Solving differential algebraic equations by Taylor Series(III): the DAETS Code , 2005 .

[7] M. Fliess,et al. Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[8] N. Nedialkov,et al. Solving differential algebraic equations by Taylor Series(III): the DAETS Code , 2008 .