In engineering science, the strategies of data-based control synthesis are valuable tools that allow to obtain a control law without the need to identify or to model the system through its related physics. However, th...
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ISBN:
(纸本)9798331517519;9798331517526
In engineering science, the strategies of data-based control synthesis are valuable tools that allow to obtain a control law without the need to identify or to model the system through its related physics. However, the inherent presence of noise when acquiring data represents an obstacle in the validity of these data to represent accurately the system. In this paper, Lyapunov stability theory, dissipativity theory and Petersen's lemma are utilized to develop an algorithm. The proposed algorithm uses sum-of-squares programming to design a control law that guarantees asymptotic stability of polynomial systems with noisy data. In addition, the develop method is tested in comparison to a D-K iteration method in order to evaluate its performance in terms of computational costs.
Bathe algorithm converts problem of determining inner infiltration face into a material nonlinearity problem, and Signorini condition coverts outflow boundary into conventional water boundary. Because an unsaturated s...
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Bathe algorithm converts problem of determining inner infiltration face into a material nonlinearity problem, and Signorini condition coverts outflow boundary into conventional water boundary. Because an unsaturated seepage problem is also a nonlinear flow problem, through the joint application of this 2 methods, solving variationalinequalities is avoided. In conventional material nonlinearity finite element framework with small modification, using NR algorithm, the solving of unconfined water seepage problems including unsteady and unsaturated water seepage problems is realized. The followings are discussed: (1) the improvement of convergence of Bathe method and its generalized form in a three-dimensional model;(2) use Switching Algorithm of Signorini condition to solve water seepage problems;(3) the under-relaxation methods of improving the convergence and mass conservation when solving unsaturated and unsteady water seepage problems. At last, through classic calculation examples, the calculating accuracy and application fields of the proposed methods are evaluated.
In this paper, the dynamic behavior of reheat power systems is represented by a class of nonlinear time-delay models. Both robust stability and state feedback control problems are considered. A convex programming appr...
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This paper presents a new decentralized control strategy for the islanded operation of a microgrid under unknown load conditions. In the islanded mode of operation, the microgrid should provide the load with a set of ...
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ISBN:
(纸本)9781467345675;9781467345682
This paper presents a new decentralized control strategy for the islanded operation of a microgrid under unknown load conditions. In the islanded mode of operation, the microgrid should provide the load with a set of regulated balanced three-phase voltages. The load which is parametrically and topologically uncertain can also be unbalanced and/or nonlinear. Thus, the use of conventional control strategies results in the poor performance and even instability of the microgrid system. The proposed method assumes that the load current is a measurable disturbance signal. The robust optimal control approaches are used to design a controller to overcome the disturbances resulting from the unknown loads dynamics. The optimization problem is converted to a convex problem and is solved using the linear matrix inequalities (LMIs). The performance of the designed controller is verified using time-domain simulations carried out in PSCAD/EMTDC software.
The problem of profiling of optimal (i.e. securing maximum value of thrust) configurations for annular nozzles of the external expansion with a multiphase medium is considered. Direct methods of a calculus of variatio...
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The problem of profiling of optimal (i.e. securing maximum value of thrust) configurations for annular nozzles of the external expansion with a multiphase medium is considered. Direct methods of a calculus of variations are applied to the solution of a problem in view. The variational problem of search of an optimal annular nozzle configuration is reduced to a problem of a nonlinearprogramming. Optimal configurations of annular nozzles for different working mediums and operating conditions were built as a result of optimization. The result may be used for searching of the optimal configuration of different gas-dynamic devices. (C) The Authors. Published by Elsevier Ltd.
The article is devoted to the development of numerical methods for solving saddle point problems and variationalinequalities with simplified requirements for the smoothness conditions of functionals. Recently, some n...
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This paper deals with the approximation of solutions to a degenerate variational inequality of parabolic type with a non-smooth final condition arising from American option pricing by the piecewise linear finite eleme...
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This paper deals with the approximation of solutions to a degenerate variational inequality of parabolic type with a non-smooth final condition arising from American option pricing by the piecewise linear finite element method in space and an implicit time-stepping scheme. We show that the error of the approximation in a weighted Sobolev norm is of order O(h2/3+ t1/3) under some realistic regularity assumptions on the exact solution, where h and t denote the mesh parameters in space and time, respectively. Numerical examples are presented to confirm our theoretical results.
The paper treats the Multi-Objective programming problem with a large composite set of (linear and nonlinear) objective functions, the domain of feasible solutions being defined by a set of linear equalities/inequalit...
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ISBN:
(纸本)9783642184659
The paper treats the Multi-Objective programming problem with a large composite set of (linear and nonlinear) objective functions, the domain of feasible solutions being defined by a set of linear equalities/inequalities representing a large scale problem. One constructs a preferred solution i.e. a non-dominated solution chosen via extending the decision-making framework. A feasible approach, for this class of problems, is to use a solver for the Linear programming problems and a solver for Multiple Attribute Decision Making problems in combination with Parallel and Distributed Computing techniques based on a GRID configuration.
This paper is concerned with the stability analysis problem of a delayed Lagrangian neural network designed for solving nonlinearprogramming problems with linear equality constraints. By constructing a new Lyapnuov-K...
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An approach to deal with interval linear equations is to reduce the problem into solving several linear (or nonlinear) equations (or inequalities). To obtain characterations of the equations the paper gives a necessar...
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ISBN:
(纸本)9783037853726
An approach to deal with interval linear equations is to reduce the problem into solving several linear (or nonlinear) equations (or inequalities). To obtain characterations of the equations the paper gives a necessary condition of tolerance solutions of interval linear equations by means of nonlinearinequalities. Based on the necessary condition, a sufficience condition for nonexistence of tolerance solutions of the equations is given by use of the well-known Farkas theorem.
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