Worst case control for discrete-time systems in the presence of nonlinear uncertainties

Peng Shi, Shyh Pyng Shue, Ramesh K. Agarwal

Research output: Contribution to conferencePaperpeer-review

2 Scopus citations


This paper studies the problem of robust control of a class of uncertain discrete time systems, the cases of continuous-time and discrete-time systems. The class of uncertain systems is state model with linear nominal parts and norm-bounded nonlinear uncertainties in the state and output equations. We address the problem of robust H∞ control in which both robust stability and a prescribed H∞ performance are required to be achieved irrespectively of the uncertainties. It has been shown that instead of the nonlinear uncertain system, we may only consider a related linear uncertain system and thus, a linear static state feedback control law is designed, which is in terms of a Riccati inequality. An example is provided to show the potential of the proposed technique.

Original languageEnglish
Number of pages10
StatePublished - 1997
EventGuidance, Navigation, and Control Conference, 1997 - New Orleans, United States
Duration: Aug 11 1997Aug 13 1997


ConferenceGuidance, Navigation, and Control Conference, 1997
Country/TerritoryUnited States
CityNew Orleans


  • H∞ control
  • Nonlinear uncertainty
  • Riccati inequality
  • Robust stability


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