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Robust control of stochastic uncertain systems

  • Ian R. Petersen
  • Valery A. Ugrinovskii
  • Andrey V. Savkin
Chapter
  • 633 Downloads
Part of the Communications and Control Engineering book series (CCE)

Abstract

The results presented in this chapter extend the notions of minimax optimal control and absolute stabilization to the realm of stochastic uncertain systems. Some motivation for this extension was given in the Chapter 1 and in Section 2.4. In particular, in Subsections 2.4.1 and 2.4.2, some examples where given of uncertain systems which led naturally to descriptions in terms of stochastic processes. Also, Section 2.4 introduced definitions of stochastic uncertain system which provided a stochastic uncertain system framework for stochastic systems with multiplicative noise and additive noise. In this chapter, we address minimax optimal control problems for the stochastic uncertain systems introduced in Section 2.4.

Keywords

Optimal Control Problem Robust Control Riccati Equation Algebraic Riccati Equation Uncertainty Input 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London 2000

Authors and Affiliations

  • Ian R. Petersen
    • 1
  • Valery A. Ugrinovskii
    • 1
  • Andrey V. Savkin
    • 2
  1. 1.School of Electrical EngineeringADFACanberraAustralia
  2. 2.Department of Electrical and Electronic EngineeringUniversity of Western AustraliaNedlandsAustralia

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