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State-Space Solutions to H Control Problems

  • Hidenori Kimura
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

In this chapter, we give a solution to the H control problem in the state space based on the results obtained in the preceding chapters. A state-space realization of the plant (7.1) is given by
$$\dot x = Ax + B_1 w + B_2 u,$$
(8.1a)
$$z = C_1 x + D_{11} w + D_{12} u,$$
(8.1b)
$$ y = C_2 x + D_{21} w + D_{22} u$$
(8.1c)
where
$$ z \in \text{ }R^m \text{ : errors to be reduced}, $$
$$ y \in R^q :\text{observation}\,\text{outputs}, $$
$$ w \in R^r :\text{exogenous}\,\text{inputs}, $$
$$ u \in R^p :\text{control}\,\text{inputs}. $$

Keywords

Control Problem Riccati Equation Solvability Condition Nonsingular Matrix Full Column Rank 
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

© Birkhäuser Boston 1997

Authors and Affiliations

  • Hidenori Kimura
    • 1
  1. 1.Department of Mathematical Engineering and Information PhysicsThe University of TokyoTokyoJapan

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