State-multiplicative noisy systems - H dynamic output-feedback tracking with preview

E. Gershon, U. Shaked

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The problem of finite-horizon H outputfeedback tracking control for linear discrete time-varying systems with stochastic state-multiplicative parameter uncertainties is investigated. We consider three tracking patterns depending on the nature of the reference signal i.e : whether it is perfectly known in advance, measured on-line or previewed in a fixed time-interval ahead. The stochastic uncertainties appear in both the dynamic and measurement matrices of the system. For each of the above three cases a solution is found where, given a specific reference signal, the controller plays against nature which chooses the initial condition and the energy-bounded disturbances. The problems are solved based on a specially devised bounded real lemma for state-multiplicative systems with tracking signals. The finite-horizon case is extended to the stationary one where similar results are achieved.

Original languageEnglish
Title of host publication2017 25th Mediterranean Conference on Control and Automation, MED 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1131-1136
Number of pages6
ISBN (Electronic)9781509045334
DOIs
StatePublished - 18 Jul 2017
Event25th Mediterranean Conference on Control and Automation, MED 2017 - Valletta, Malta
Duration: 3 Jul 20176 Jul 2017

Publication series

Name2017 25th Mediterranean Conference on Control and Automation, MED 2017

Conference

Conference25th Mediterranean Conference on Control and Automation, MED 2017
Country/TerritoryMalta
CityValletta
Period3/07/176/07/17

Keywords

  • Discrete-time systems
  • Stochastic control
  • Tracking preview

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