Due to the lack of the optimization algorithm or model which could be used to optimize the complicated plane linkage mechanism (like a shaper mechanism), a nonlinear programming model which could solve this problem wa...
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nonlinear programming targets nonlinear optimization with constraints, which is a generic yet complex methodology involving humans for problem modeling and algorithms for problem solving. We address the particularly h...
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ISBN:
(纸本)9781450387507
nonlinear programming targets nonlinear optimization with constraints, which is a generic yet complex methodology involving humans for problem modeling and algorithms for problem solving. We address the particularly hard challenge of supporting domain experts in handling, understanding, and trouble-shooting high-dimensional optimization with a large number of constraints. Leveraging visual analytics, users are supported in exploring the computation process of nonlinear constraint optimization. Our system was designed for robot motion planning problems and developed in tight collaboration with domain experts in nonlinear programming and robotics. We report on the experiences from this design study, illustrate the usefulness for relevant example cases, and discuss the extension to visual analytics for nonlinear programming in general.
For the general nonlinear constrained optimization model, this article will propose a new nonlinear Lagrange function, discuss the properties of the function at the KKT point, and prove that under appropriate conditio...
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On the basis of Matlab mathematical tool, nonlinear programming function-fmincon is used to optimize and design allocation plan for radiological workers at strong radiation field in this paper, establishing correspond...
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In this paper, the problem of optimal control of flexible space robots is considered and an efficient approach is proposed for solving it. The space robots are considered as mechanical manipulators having rigid and fl...
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ISBN:
(纸本)9780889868106
In this paper, the problem of optimal control of flexible space robots is considered and an efficient approach is proposed for solving it. The space robots are considered as mechanical manipulators having rigid and flexible links. The main duty of these robots is to translate a payload mass between two specified points. To derive dynamic model of these manipulators, their flexible links are assumed as a set of rigid links connected together. By adding strain potential energy to Lagrange equations, the flexible behaviour of flexible links is modeled with good accuracy. In present paper, the problem of optimal control of space robots is defined based on minimum time and minimum joint torque (minimum control effort) objective functions. Direct collocation method is used to solve these problems. This method converts the optimal control problem to a standard nonlinear programming problem. The proposed approach in this paper for modeling and solving optimal control problems of flexible robots can lead to optimal solution without any simplifications such as linearization and decoupling of state equations. This approach can be used for solving various optimal control problems in the fields of robotics and biomechanics.
This paper presents intuitionistic fuzzy multi-objective nonlinear programming problem (IFMONLPP). All the coefficients of the multi-objective nonlinear programming problem (MONLPP) and the constraints are taken to be...
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This paper, the rough bilevel nonlinear programming problem (RBNPP) is discussed taking into consideration which level is more important than the other. BNPP is transformed into a crisp unconstrained programming probl...
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This paper studies the nonlinear programming with the interval parameters, proposing a novel deterministic interpretation algorithm of interval nonlinear programming. The concept of the risk coefficient is introduced,...
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In this paper, a novel nonlinear programming (NLP) approach for non-line-of-sight (NLOS) localization in severe multipath environments is proposed. It leverages on the bidirectional estimation of the Angle of Arrival ...
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Intrinsically, Lagrange multipliers in nonlinear programming Theory play a regulating role in the process of searching the optima of constrained optimization problems. Hence, they may be regarded as control input vari...
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