Piecewise-constant stabilization of nonlinear systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


With the help of topological necessary conditions for continuous stabilization it is shown that, in general, in order to stabilize continuous- and discrete-time systems one has to use time-dependent or discontinuous feedback controls. On the other hand, the criterion of stabilization in the class of piecewise-constant feedbacks is established. In the context of this paper a piecewise-constant feedback is associated with a piecewise-constant function of the form u = u(x), where x qq R x n. The piecewise-constant feedback synthesis outlined here has several attractive features. First, it can be effectively applied to design feedback stabilizers subjected to control constraints. Second, the designed feedback laws do not cause sliding mode and/or chattering behavior in the closed loop system, i.e., on a finite interval of time the control in the closed loop system may have only finite number of jump discontinuities.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
StatePublished - 1999
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999


OtherThe 38th IEEE Conference on Decision and Control (CDC)
CityPhoenix, AZ, USA

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality


Dive into the research topics of 'Piecewise-constant stabilization of nonlinear systems'. Together they form a unique fingerprint.

Cite this