Fuzzy relational equations have been extensively studied since 1976. There are a lot of theoretical and significant application *** side of development in this field is mainly concerned with solving equations with a w...
详细信息
Fuzzy relational equations have been extensively studied since 1976. There are a lot of theoretical and significant application *** side of development in this field is mainly concerned with solving equations with a wide class of composition operators and characterization of a set of solutions. From an aplicational point of view more and more fields of applications have been reported, as for instance:fuzzy system analysis, medical diagnosis, decision-making or pattern classification.
The optimal stochastic approximation procedure (OSAP) is applied to the parameter identification problem of distributed parameter system (DPS) driven by random disturbances and observed through noisy measurements. Thi...
详细信息
The optimal stochastic approximation procedure (OSAP) is applied to the parameter identification problem of distributed parameter system (DPS) driven by random disturbances and observed through noisy measurements. This procedure is a stochastic approximation procedure (SAP) with an optimal gain sequence and an optimal transformation on the gradient of the objective function: these optimal values accelerate the convergence rate by minimizing the mean squared parameter estimation error, under the assumption that the density functions of the system and observation noises are known, or can be easily estimated. An example of parameter identification of a stochastic parabolic DPS is simulated on the digital computer. A comparison is made among the results of the optimal, the modified, the nominal first-order, and the nominal second-order SAP. It is shown that the OSAP gives higher accuracy and faster rate of convergence as compared to the nominal SAP
The paper deals with the design problem of control algorithms in fuzzy systems described by means of fuzzy relational equations, which can be implemented in the framework of fuzzy controllers applied to control of ill...
The fuzzy set theory established by L. A. Zadeh has started anew period in formalizing a decision-making processes in ill-defined systems where a human being (operator) is an important element in the control loop. The...
The fuzzy set theory established by L. A. Zadeh has started anew period in formalizing a decision-making processes in ill-defined systems where a human being (operator) is an important element in the control loop. The control algorithm used here is based on a generalized fuzzy version of modus ponens (compositional rule of inference) where a set of decision-making rules forming a control algorithm is given. The aim of this paper is to present some problems which may appear in the initial stage off design of a decisionmaking algorithm and discuss a method of their formulation. We introduce notions like the completeness of algorithm, interactivity and the competitivity of control rules and consider indices illustrating the presented design aspects.
The principle of orthogonal collocation has, recently found, interest for the treatment ot Two Point Boundary Value Problems, (TPBVP) using the zeros of transformed Legendre polynomials as collocation points, good to ...
详细信息
The principle of orthogonal collocation has, recently found, interest for the treatment ot Two Point Boundary Value Problems, (TPBVP) using the zeros of transformed Legendre polynomials as collocation points, good to excellent accuracies can be obtained Using a small number of collocation pOints. inconstrained IPBVP haa already been examined in the, literature. The principle, is then extended to treat state variable lnequality, constrained optimal control problems. mathematical programming technique is shown to play an, Important role, In constructing the optimal traJectories. it iS shown, bv Implementing the approach to a numerical, example of an optimal control problem that accuracies can be obtained Which are, in some cases, better than those of the well known conventional approaches to solve the same problem.
This paper deals with a formal description of ill-defined processes (fuzzy systems) by the use of fuzzy relational equations. It is pointed out that fuzzy relational equations form a generalized version of the differe...
The development of fuzzy sets theory introduced by Zadeh has proved that this theory may be useful in many areas of applications. Not many papers deal with the problem evaluaging the fuzziness measures of fuzzy set. I...
详细信息
The development of fuzzy sets theory introduced by Zadeh has proved that this theory may be useful in many areas of applications. Not many papers deal with the problem evaluaging the fuzziness measures of fuzzy set. In this paper it is shown that the special kind of energy measure the so called degree of fuzziness can be more useful in many practical situations of decision making. The application of energy measure as a quality index used for fuzzy control and prediction in fuzzy systems is discussed in details.
In this paper the singular optimal control problem of linear discrete-time system with fixed end points and free final time is investigated. Expression for the optimal control is obtained by changing the problem to a ...
详细信息
In this paper the singular optimal control problem of linear discrete-time system with fixed end points and free final time is investigated. Expression for the optimal control is obtained by changing the problem to a minimum norm problem with linear constraints and applying some appropriate theorems. Existence, uniqueness, and optimality are proven. Iterative relationships to compute the main matrix in the optimal control expression are given. In order to simplify and reduce the computations a significant suboptimal control is described. It is shown that the suboptimal control aproaches the system to the final desired state each time of its application, moreover, it is gauranteed to reach the final state in finite steps.
An examination is made of linear regulator problems with an additional cost for applying a nonzero control at each instant. The dual of this problem is the least-squares filtering problem with a cost for taking measur...
An examination is made of linear regulator problems with an additional cost for applying a nonzero control at each instant. The dual of this problem is the least-squares filtering problem with a cost for taking measurements. Because a solution to the general problem involves solving a two point boundary value problem in nonlinear matrix differential or defference equations, two easily-computed suboptimal control schemes and some useful bounds are proposed. A class of problems is also delineated for which the optimum solution has some special properties which enable it to be computed simply and directly.
暂无评论