Mathematical Systems Theory and Economics I / II pp 481-486 | Cite as
Multi-level Approach to the Large-scale Control Problem
Conference paper
Abstract
Let us consider a multivariable control problem. From the theory of the optimal control [1], [5] we know that it is possible to find for some speciale case the so-called “feed-back” solution of the optimal control problem
where u — is a n-dimensional optimal control vector which minimized the index of performance
x — is a n-dimensional state vector of the controlled process
Let us introduce the complexity measure of the optimal controller.
$$
{\text{u = c (x)}}
$$
$$
{\text{I = }}\int_{{{\text{t}}_{\text{o}}}}^{{{\text{t}}_{\text{1}}}} {\;{\text{g(x,u) dt}}}
$$
$$
\dot x = f\left( {x,u} \right)
$$
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References
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