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On the design of regulator systems using bounding optimal initial state manifolds

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2 Author(s)
Dugan, V. ; Sandia Laboratory, Albuquerque, NM, USA ; McDaniel, W., Jr.

This paper presents a discussion of techniques for designing optimal linear time-invariant regulator systems, which have inaccessible states, and which are based on a quadratic performance functional for the definition of optimality. A definition is given of a suboptimal control vector \hat{k} , which has m nonzero, constant elements and n - m elements defined as zero, and which will provide optimal performance from an m -dimensional linear manifold of initial states. An algorithm is given for determining \hat{k} for a linear manifold lying between two optimal manifolds and an example illustrates the superiority of these routines for initial-state sets about an optimal manifold.

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Automatic Control, IEEE Transactions on  (Volume:16 ,  Issue: 4 )