DECOMPOSITION OF DYNAMIC-SYSTEMS USING INVERSE PROCEDURE OF OPTIMIZATION

A procedure is considered for synthesis of decentralized control for dynamic systems represented as a set of correlated subsystems. Parameters of the regulator are in the solution of the Riccati equation of nonhigh dimensionality for subsystems and the Lyapunov equation for crossing links. Synthetized control possesses a property of optimality with regard to the obtained form of the modified functional of quality. Conditions of instability of the closed correlated system are obtained as inequalities for elements of matrix of correlations and matrices of the closed local subsystem parameters. The suggested procedure permits reducing computer expenditures both under synthesis of controls of large-scale subsystems and under analysis of their stability.