Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation

Daniel M Liberzon, Eduardo D. Sontag, Yuan Wang

Research output: Contribution to journalArticlepeer-review

Abstract

We study nonlinear systems with both control and disturbance inputs. The main problem addressed in the paper is design of state feedback control laws that render the closed-loop system integral-input-to-state stable (iISS) with respect to the disturbances. We introduce an appropriate concept of control Lyapunov function (iISS-CLF), whose existence leads to an explicit construction of such a control law. The same method applies to the problem of input-to-state stabilization. Converse results and techniques for generating iISS-CLFs are also discussed.

Original languageEnglish (US)
Pages (from-to)111-127
Number of pages17
JournalSystems and Control Letters
Volume46
Issue number2
DOIs
StatePublished - Jun 14 2002

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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