The technique of formalization of fuzzy predicates together with crisp logical variables for the specification of fuzzy logic-dynamic situations and crisp logical commands is considered. The technique is based on the submission of crisp and fuzzy logic variables by means of membership functions and on the use of fuzzy inference rules. Here we only used the forms of presentation of fuzzy logic functions which are also suitable for presentation of crisp logic functions. By the examples the possibility of using the considered technique for the computer implementation of hybrid processes is shown.
The possibility to use based on the transformational rules transitive approach for the specification and the computer implementation of continuous processes is considered. The examples show techniques of the processes initial specifications conversion in the specifications as sets of transformation rules. As starting specifications in the form of a physical model, the block diagram of dynamic links, in the form of ordinary differential equations are considered. These examples demonstrate the simplicity, clarity and versatility of this approach. Some problems of implementation of the processes specified by using rules are briefly discussed. The resulting model implementations of processes are evaluated using analytical methods and compared with the numerical solutions found using Matlab and MathCad.
There is presented the definition of logic-dynamic situation that is used in specifying the operation of hybrid dynamic systems, including hybrid control systems. The influence of random effects on the behavior of systems is discussed. The methods of estimating the probabilities of occurrence of situations based on estimates of the statistical characteristics of random processes are considered. There show how to use estimates of the probabilities for the control and decision support. The results of experimental research of methods under consideration are given.
Means of use of based on transition rules formalism for determinate processes specification for random processes implementation and their characteristic estimation are considered. A short description of the formalism and methods of its use for simulation of dynamical systems in the presence of random impacts are presented. Methods of realization of random processes with specified statistic properties and methods of random ergodic process numerical characteristic and correlation functions estimation are discussed. Examples of random process implementations and results of their characteristics and correlation functions estimations are produced.
The approach is based on using of the known situation-event formalism of an interacting hybrid processes specification. A short description of the formalism is set out. Some advantages of its using for dynamic systems computer implementation are pointed out and its abilities for processes coordination are discussed. Hybrid processes coordination methods based on it and peculiarities of their usage are reviewed. Instances of automatic coordination systems which illustrate some methods usage are given.
Advantages of compound dynamic systems presentation in the form of an interacting subsystem models complex are discussed. A holonic complex structure and expanded situationevent formalism of hybrid processes specification are proposed. The formalism enables to specify model processes taking into consideration an interaction of the processes between each other and with the environment. It is shown that the formalism proposed enables to simulate system structure changes. Some problems of the model complex realization are considered. A model complex realized in terms of the formalism proposed is produced as an illustrative example. The complex enables to simulate automatic coordination of processes, which occur in two systems of automatic positioning a roll on a plane.
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