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Nonsmooth Robust Stabilization of a Class of Two-Dimensional Nonlinear Systems (1999)

Ho-Mock-Qai, Bertina

Springer

Mathematics of control, signals, and systems 12 (1999), S. 245-269

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ISSN: 1435-568X

Keywords: Key words. Families of nonlinear systems, Robust stabilization, Nonsmooth state feedback.

Source: Springer Online Journal Archives 1860-2000

Topics: Electrical Engineering, Measurement and Control Technology , Mathematics , Technology

Notes: Abstract. In this paper we consider a class of parameterized families of nonlinear systems which cannot be robustly asymptotically stabilized by means of C 1 feedback. We construct C 0 state feedback laws which are smooth away from the origin and which robustly asymptotically stabilize these families of systems. We then show that, in some cases, the regularity of the obtained robust asymptotic stabilizers is “maximum” in the sense that the considered families of systems do not admit any Lipschitz continuous robust asymptotic stabilizer.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/PL00009852

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