Abstract:Abstract. Projection and relaxation techniques are employed to decompose a multiobjective problem into a two-level structure. The basic manipulation consists in projecting the decision variables onto the space of the implicit tradeoffs, allowing the definition of a relaxed multiobjective master problem directly in the objective space. An additional subproblem tests the feasibility of the solution encountered by the relaxed problem. Some properties of the relaxed problem (linearity, small number of variables, e… Show more
In Admissible Model Matching (AMM), fault tolerance aims at matching any model of an a priori specified set of admissible models, rather than at searching for an optimal approximation of a single reference one, as in the pseudo-inverse and modified pseudo-inverse methods. This approach allows to clearly characterize the set of recoverable faults, and moreover it exhibits a specific robustness property. This paper presents the AMM approach and applies it to the Linear Quadratic control design, by defining admissibility through an acceptable level of performance degradation.
In Admissible Model Matching (AMM), fault tolerance aims at matching any model of an a priori specified set of admissible models, rather than at searching for an optimal approximation of a single reference one, as in the pseudo-inverse and modified pseudo-inverse methods. This approach allows to clearly characterize the set of recoverable faults, and moreover it exhibits a specific robustness property. This paper presents the AMM approach and applies it to the Linear Quadratic control design, by defining admissibility through an acceptable level of performance degradation.
“…As displayed in Fig.4, the utility functions regarding two objectives can be defined by considering the physical significance of the relevant quantities [10]. Through the multi-linear utility elicitation [12,13], the utility function in this study can be defined as…”
This study present a design and analysis scheme for the extend-able modular robotic manipulator with multi Degree of Freedom links that is capable of elongating by 15 % of its nominal length. The intent is to facilitate the movement of the proposed robotic manipulator in constraint environments, such as rubble piles. In this context, the total number of links decided by optimization methodology can be a useful distinction in practice. In order to identify the benefits of the proposed design strategy, the reachable workspace of the proposed manipulator is compared with that of the Jet Propulsion Laboratory (JPL) serpentine robot. The simulation results show that the proposed manipulator has a relatively efficient reachable workspace to deal with a variety of constrained directions, needed in constrained environments. Also, the singularity of the designed manipulator is investigated.
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