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1.
An approach to the design of vibroprotection systems for objects subjected to stochastic disturbances was developed on the basis of a procedure for analytical design of the optimal controller. For that, this procedure was generalized to the case of permanently acting stationary stochastic disturbances. When solving the problem of designing the vibration isolation system, the optimizing functional was constructed so that minimization provided reduction in the dynamic actions on the object with the observance of the overall disturbances. Technical feasibility of the vibration isolation system designed using the elastodamping suspensions and dampers with transformation of motion was demonstrated.  相似文献   

2.
New sufficient conditions for the optimality of control for random-structure nonlinear stochastic systems under incomplete state vector information are formulated. Relations for determining the optimal control for the general minimized functional and for the mean optimal control are derived.  相似文献   

3.
The notion of a nonfragile controller is introduced that affords the fulfillment of the aim of control at variations of its parameters from a definite class. Synthesis of nonfragile stabilizing controllers in the state and the output is carried out on the basis of linear matrix inequalities and an algorithm for the search of mutually inverse matrices.  相似文献   

4.
5.
Consideration was given to various cases of controllability of the limit system describing behavior of a system with unlimited set of rates under (practically sufficiently high) pulse control actions. In compliance with these cases, the structure of the generalized solutions of the initial system was determined as regular solutions of a smaller-order system called the derivative system. Using the facts of the geometrical control theory, proposed was a multistage procedure for construction of the sequences of permissible solutions of the initial system approximating solutions of the derivative system. The presentation was illustrated by an example.  相似文献   

6.
A design problem of dynamic reduced-dimension controllers according to the boundedness condition of the H-norm of a transfer matrix of a closed system is studied. The problem of controller deflation is related to the solution to degenerate filtering problems (no noise of measuring) and to degenerate control problems (no control in a manipulated output). It was demonstrated that these problems can be solved on basis of the modified 2-Riccati approach, in which the “filtrating” (for a singular filtrating problem) or the “control” (for a singular control problem) Lurie-Riccati equations have a low order. An example of an optimal reduced-dimension controller design is given that illustrates the obtained results.  相似文献   

7.
The evolution of self-organizing extrapolation controllers is described. Examples are given to illustrate the application of these controllers to electrical power systems. Prospects for the application of these controllers are examined.  相似文献   

8.
Iterative procedures for improvement and approximate optimization of the positional controls with the use of the Krotov estimation functions generated by them at the iterations by means of the linear partial derivative equations and their discrete counterparts were considered, substantiated, and shown to converge to the solutions of the Bellman relations. The corresponding constructive schemes leading to approximate optimal solutions with the upper estimates were constructed, their relations were established, and comparison was made with the existing schemes of the approximate optimal design of controls.  相似文献   

9.
Consideration was given to the systems of H -suboptimal and modal control and the causes of their small phase and magnitude margins.  相似文献   

10.
The suggestion is made to use the methods of perturbations for the implementation of the conditions of nonlocal improvement in the class of optimal control problems that are quadratic in the state and linear in control. The methods are specified by the absence of the operation of the weak or the acicular variation and by the basic possibility of the nonlocal improvement of controls that satisfy the maximum principle.  相似文献   

11.
A differential game of optimal approach with simple motions when players move in locally Euclidean spaces is studied. The game-end moment is fixed, and the game payment is a distance between the pursuer and the evader at the game-end moment. The value of game is obtained in the explicit form for any initial positions of players. Moreover, the differential game of optimal approach for the denumerable number of pursuers and one evader in the Euclidean space is solved. All pursuers are controlled by one parameter.  相似文献   

12.
The task of composition of schedules without interrupts and switching for optimal performance in multiprocessor automated control systems was considered. The series of exact and approximated algorithms based on aggregation method was developed. Efficiency and application area of the algorithms was defined, their comparative analysis was made.  相似文献   

13.
Consideration was given to the Tobin macromodel of economic growth with real and money markets. This model was used to study the optimization of the monetary policy which is degenerate from the mathematical standpoint because the linearly occurring control (rate of money offering) is unlimited. That is why in reality an extended problem of optimal control with generalized discontinuous trajectories was solved. Extension was made by a special transformation of the original problem. The solution was eventually obtained in the form of a quasioptimal pulse process because the optimal solution does not exist even in the class of pulse processes.  相似文献   

14.
Minimizing sequences for degenerate optimal control problems are constructed from turnpike solutions. Two variational approximation schemes for the turnpike solution are described: the first is a direct improvement of the simple approximation of piecewise-continuous turnpikes by the solutions of the initial differential system and the second consists of constructing an approximate optimal control in the neighborhood of a turnpike by a parametric curve in the state space. Since a sequence of state-linear feedback controls with variable coefficients is generated in both variants, turnpikes can be easily realized in practice.  相似文献   

15.
An algorithm for optimization of goal point-to-point control in a differential system with phase constraints that is based on the results of construction and estimation of sets of attainability (solvability) of the system is represented. Algorithms for the methods of supporting hyperplanes and sections for constructing the indicated sets are given. The efficiency of software-algorithmic implementation of the methods is confirmed by examples. The developed software technology oriented on multiprocessor systems is closely connected with the applied problems under study.  相似文献   

16.
A linear-quadratic optimal control problem for a discrete different time-scale system is studied. The decomposition of the boundary value problem for the maximum principle is based on the geometric approach using the properties of invariant manifolds of slow and fast motions. This approach aids in constructing a transformation for reducing the initial problem to a boundary-value problem for slow variables and two initial-value problems for fast variables. The transformation is expressed as an asymptotic siries in powers of a small parameter.  相似文献   

17.
Optimal control for a Volterra distributed system on bounded and unbounded time intervals is studied, using quality criteria defined by the objective preferences of the system.  相似文献   

18.
We consider the problem of minimizing a quadratic noncoercive functional along the trajectories of a control-affine system. Due to lack of coercivity, existence of “classical” minimizers cannot, in general, be guaranteed. Under appropriate commutativity assumptions the problem can be extended into the space of generalized controls of class W ?1,∞ and reduced into a new problem which is generically coercive but nonconvex. We show how to extend further the problem in order to include generalized controls which are “generalized derivatives of one-parameter families of regular probability measures,” thus achieving convexification. Generalized trajectories for this type of controls exist only in a weak sense. We discuss a version of the maximum principle suitable to this class of problems and show how a generalized synthesis can be obtained.  相似文献   

19.
Necessary and sufficient conditions of approximate optimal controls for integral linear in state Volterra systems with nonlinear delays are derived. They are used for studying approximate optimal controls obtained by the control parameterization method as an important application.  相似文献   

20.
Constructive schemes for designing approximate optimal controls based on the Krotov sufficient conditions of optimality, extension principle, and global estimation are described. Different approximations for Bellman-type relations and effective indirect schemes based on degeneracy and turnpike nature of solutions of applied problems are studied. Irrespective of the initial formulation of a problem, discrete-time models (exact or approximate models obtained from discretization of the initial model) are used in the final design stage. Examples are given.  相似文献   

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