Begell House
Journal of Automation and Information Sciences
Journal of Automation and Information Sciences
1064-2315
38
2
2006
Synthesis of Robust Adaptive Control Systems of Nonstationary Linear Objects Under Bounded Perturbations
A problem of syntheses of adaptive stabilization of nonstationary linear object under the influence of bounded noncontrolled perturbations is studied. Due to obvious complexity of the studied minimax problem and impossibility of its online solution even in the case of a small quantity of undetermined parameters of the controlled object, the authors suggest a significantly less laborious ways of determination of suboptimal solutions.
Vsevolod M.
Kuntsevich
Institute of Space Research, National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kiev, Ukraine
Alexey V.
Kuntsevich
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
1-18
Estimation of Parameters in Linear Multidimensional Systems under Interval Uncertainty
We suggested the method for construction of estimations of parameters in linear multidimensional systems with interval uncertainty in data. Together with additive component because of measuring errors we suggest in the model multiplicative matrix uncertainty, which makes it possible to consider wider class of objects with uncertain structure. For these models external interval approximations of nonconvex information sets are constructed. Method of their construction is based on solving interval systems of linear algebraic equations and promotes construction of parametric estimates for static models with large number of measurements.
Boris T.
Polyak
Trapeznikov Institute of Control Problems of the Russian Academy of Sciences, Moscow, Russia
Sergey A.
Nazin
Trapeznikov Institute of Control Problems, Moscow, Russia
19-33
Compensation of Perturbations in a Linear Optimal System on the Basis of Parametrization of the Lourie−Riccati Equation
The method of compensation of parametric perturbations in a system with the linear-quadratic regulator based on approximate recalculation of an optimization problem, which needs no new solving the Lourie−Riccati equation, is proposed. For compensation of parametric perturbations of the controlled object the additional feedback by a state- compensating regulators, are proposed to be used. On the basis of results of parametrization of the matrix algebraic Lourie−Riccati equation, the total set of compensated perturbations as well as the corresponding to it set of compensating regulators are found.
Valentin N.
Bukov
N.E. Zhukovsky Air-Force Engineer Academy, Moscow, Russia
Nikolai I.
Selvesyuk
N.E. Zhukovsky Air-Force Engineer Academy, Moscow, Russia
34-45
Optimal Control of a Conditionally Correct System of Thermal Stress State for a Composite Body
New problems of optimal control of thermal stresses in a composite body, when its thermal state is described by a Neumann problem with non-unique solution, are studied. In all studied cases with quadratic cost functionals, existence of unique optimal controls is proved. An opportunity of derivation of computational schemes by finite element method for determination of approximations of optimal controls of considered systems is indicated.
Ivan V.
Sergienko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Vasiliy S.
Deineka
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
46-75