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Desensitizing Control

  • Alexander Weinmann

Abstract

Consider the plant
$${\rm{\dot x(t) = A(p)x(t) + B(p)u(}}t){\rm{B}} \in {R^{nxm}},{\rm{p}} \in {{\rm{R}}^{{n_p}}}$$
(1)
where A(p) and B(p) are matrix-valued functions of a slowly varying parameter vector p. Hence, x(t) depends on p . The subscript 0 denotes the nominal values. Assume that a quadratic performance has to be minimized
$$I = \int_0^\infty {[{x^T}(t)Qx(t) + {{\rm{u}}^T}} (t){\rm{Ru}}(t)]dt$$
(2)
and the optimal control variable u(t) is
$${{\rm{u}}^ \star }(t) = Kx(t) = - {R^{ - 1}}{B_0}Px(t)$$
(3)

Keywords

Performance Index Differential Sensitivity State Controller Linear Quadratic Regulator Lyapunov Equation 
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 Wien 1991

Authors and Affiliations

  • Alexander Weinmann
    • 1
  1. 1.Department of Electrical EngineeringTechnical University ViennaAustria

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