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Download Analysis and Design of Nonlinear Control Systems: In Honor by Hector J. Sussmann (auth.), Alessandro Astolfi, Lorenzo PDF

By Hector J. Sussmann (auth.), Alessandro Astolfi, Lorenzo Marconi (eds.)

This booklet has been ready as a tribute to Prof. Alberto Isidori at the celebration of his sixty fifth birthday. The ebook includes 27 chapters written via a couple of researchers who've been concerned, in numerous methods, within the prolific and high-impact profession of Prof. Isidori. The chapters disguise an important variety of regulate and structures thought issues and describe a mixture of new methodological effects, complex purposes, rising regulate parts and educational works.

The total contributions were divided in six components: "System Analysis", "Optimization Methods", "Feedback Design", "Regulation", "Geometric equipment" and "Asymptotic Analysis".

All those fields mirror components within which Prof. Isidori, in the course of his medical job, has been actively concerned via delivering key principles and pioneering contributions.

The publication is anticipated to be of vital curiosity to educational and business researchers considering the world of linear and nonlinear keep watch over structures and a key reference for destiny learn developments.

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Additional resources for Analysis and Design of Nonlinear Control Systems: In Honor of Alberto Isidori

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In the present paper, we provide an ultimate extension of the theorems for analytic continuous-time systems, showing that there are inputs that are universal with respect to all finite dimensional analytic systems, and, moreover, the set of such inputs is generic. A preliminary version of our result was presented at the 1994 IEEE Conference on Decision and Control [20] (see also [11]). Besides their intrinsic theoretical appeal, universal input theorems help provide a rationale for systems identification when using information provided by “random” or unknown inputs.

D. Sontag and Y. Wang 10. D. Sontag. Universal nonsingular controls. Systems & Control Letters, 19(3):221–224, 1992. 11. D. Sontag. Spaces of observables in nonlinear control. Proceedings of the International Congress of Mathematicians, 1:1532–1545, 1994. 12. D. Sontag. Control of systems without drift via generic loops. IEEE Trans. on Automat. , 40(7):1210–1219, 1995. 13. D. Sontag. Mathematical Control Theory: Deterministic Finite Dimensional Systems. Springer-Verlag, New York, 2nd edition, 1998.

1 Introduction One of the key concepts in control theory is that of a universal input for observability and parameter identification. Informally stated, an input u0 is universal (for a given system) provided that the following property holds: if two internal states x1 and x2 are in principle distinguishable by any possible input/output experiment, then x1 and x2 can be distinguished by forcing the system with this particular input u0 (and observing the corresponding output function). Universal input theorem(s) for distinguishability show that such inputs indeed do exist, and, furthermore, show that “generic” (in an appropriate technical sense) inputs have this property.

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