H2 Optimal Control

  • Geir E. Dullerud
  • Fernando Paganini
Part of the Texts in Applied Mathematics book series (TAM, volume 36)


In this chapter we begin our study of optimal synthesis and in particular will derive controllers that optimize the H 2 performance criterion. We will start by defining the synthesis problem to be solved, and will then provide a number of motivating interpretations. Following this, we will develop some new matrix tools for the task at hand, before proceeding to solve this optimal control problem.


State Feedback Invariant Subspace Riccati Equation Synthesis Problem Hamiltonian Matrix 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Geir E. Dullerud
    • 1
  • Fernando Paganini
    • 2
  1. 1.Department of Mechanical and Industrial EngineeringUniversity of IllinoisUrbanaUSA
  2. 2.Department of Electrical EngineeringUniversity of CaliforniaLos AngelesUSA

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