A framework for destabilization of dynamical systems and mixing enhancement

Bassam Bamieh, Igor Mezic, Makan Fardad

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

7 Scopus citations

Abstract

A framework is presented for the destabilization of dynamical systems that are subject to disturbances and controls. Such destabilizing controllers are designed using a methodology analogous to "gain scheduling". At each point in the state space, the controller is designed to destabilize the local linearization of the system. The local destabilization objective is formulated as a Linear Quadratic Optimal (LQ) optimal control problem with an indefinite performance objective, and is therefore similar to problems in differential games and H norm calculations. Optimal feedback controls are thus readily computed by solving the appropriate Ricatti equations. This problem formulation is motivated by the objective of mixing enhancement in nonlinear dynamical systems, which in turn motivates the consideration of these LQ problems with finite-time horizons and exponentially discounted performance objectives.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages4980-4983
Number of pages4
Volume5
StatePublished - 2001
Externally publishedYes
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 7 2001

Other

Other40th IEEE Conference on Decision and Control (CDC)
CountryUnited States
CityOrlando, FL
Period12/4/0112/7/01

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ASJC Scopus subject areas

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

Cite this

Bamieh, B., Mezic, I., & Fardad, M. (2001). A framework for destabilization of dynamical systems and mixing enhancement. In Proceedings of the IEEE Conference on Decision and Control (Vol. 5, pp. 4980-4983)