Multi-criteria optimization manipulator trajectory planning

In the last twenty years genetic algorithms (GAs) were applied in a plethora of fields such as: control, system identification, robotics, planning and scheduling, image processing, and pattern and speech recognition (Bäck et al., 1997). In robotics the problems of trajectory planning, collision avoidance and manipulator structure design considering a single criteria has been solved using several techniques (Alander, 2003). Most engineering applications require the optimization of several criteria simultaneously. Often the problems are complex, include discrete and continuous variables and there is no prior knowledge about the search space. These kind of problems are very more complex, since they consider multiple design criteria simultaneously within the optimization procedure. This is known as a multi-criteria (or multiobjective) optimization, that has been addressed successfully through GAs (Deb, 2001). The overall aim of multi-criteria evolutionary algorithms is to achieve a set of non-dominated optimal solutions known as Pareto front. At the end of the optimization procedure, instead of a single optimal (or near optimal) solution, the decision maker can select a solution from the Pareto front. Some of the key issues in multi-criteria GAs are: i) the number of objectives, ii) to obtain a Pareto front as wide as possible and iii) to achieve a Pareto front uniformly spread. Indeed, multi-objective techniques using GAs have been increasing in relevance as a research area. In 1989, Goldberg suggested the use of a GA to solve multi-objective problems and since then other researchers have been developing new methods, such as the multi-objective genetic algorithm (MOGA) (Fonseca & Fleming, 1995), the non-dominated sorted genetic algorithm (NSGA) (Deb, 2001), and the niched Pareto genetic algorithm (NPGA) (Horn et al., 1994), among several other variants (Coello, 1998). In this work the trajectory planning problem considers: i) robots with 2 and 3 degrees of freedom (dof ), ii) the inclusion of obstacles in the workspace and iii) up to five criteria that are used to qualify the evolving trajectory, namely the: joint traveling distance, joint velocity, end effector / Cartesian distance, end effector / Cartesian velocity and energy involved. These criteria are used to minimize the joint and end effector traveled distance, trajectory ripple and energy required by the manipulator to reach at destination point. Bearing this ideas in mind, the paper addresses the planning of robot trajectories, meaning the development of an algorithm to find a continuous motion that takes the manipulator from a given starting configuration up to a desired end position without colliding with any obstacle in the workspace. The chapter is organized as follows. Section 2 describes the trajectory planning and several approaches proposed in the literature. Section 3 formulates the problem, namely the representation adopted to solve the trajectory planning and the objectives considered in the optimization. Section 4 studies the algorithm convergence. Section 5 studies a 2R manipulator (i.e., a robot with two rotational joints/links) when the optimization trajectory considers two and five objectives. Sections 6 and 7 show the results for the 3R redundant manipulator with five goals and for other complementary experiments are described, respectively. Finally, section 8 draws the main conclusions.

A sensor classification strategy for robotic manipulators

In practice the robotic manipulators present some degree of unwanted vibrations. The advent of lightweight arm manipulators, mainly in the aerospace industry, where weight is an important issue, leads to the problem of intense vibrations. On the other hand, robots interacting with the environment often generate impacts that propagate through the mechanical structure and produce also vibrations. In order to analyze these phenomena a robot signal acquisition system was developed. The manipulator motion produces vibrations, either from the structural modes or from endeffector impacts. The instrumentation system acquires signals from several sensors that capture the joint positions, mass accelerations, forces and moments, and electrical currents in the motors. Afterwards, an analysis package, running off-line, reads the data recorded by the acquisition system and extracts the signal characteristics. Due to the multiplicity of sensors, the data obtained can be redundant because the same type of information may be seen by two or more sensors. Because of the price of the sensors, this aspect can be considered in order to reduce the cost of the system. On the other hand, the placement of the sensors is an important issue in order to obtain the suitable signals of the vibration phenomenon. Moreover, the study of these issues can help in the design optimization of the acquisition system. In this line of thought a sensor classification scheme is presented. Several authors have addressed the subject of the sensor classification scheme. White (White, 1987) presents a flexible and comprehensive categorizing scheme that is useful for describing and comparing sensors. The author organizes the sensors according to several aspects: measurands, technological aspects, detection means, conversion phenomena, sensor materials and fields of application. Michahelles and Schiele (Michahelles & Schiele, 2003) systematize the use of sensor technology. They identified several dimensions of sensing that represent the sensing goals for physical interaction. A conceptual framework is introduced that allows categorizing existing sensors and evaluates their utility in various applications. This framework not only guides application designers for choosing meaningful sensor subsets, but also can inspire new systems and leads to the evaluation of existing applications. Today’s technology offers a wide variety of sensors. In order to use all the data from the diversity of sensors a framework of integration is needed. Sensor fusion, fuzzy logic, and neural networks are often mentioned when dealing with problem of combing information from several sensors to get a more general picture of a given situation. The study of data fusion has been receiving considerable attention (Esteban et al., 2005; Luo & Kay, 1990). A survey of the state of the art in sensor fusion for robotics can be found in (Hackett & Shah, 1990). Henderson and Shilcrat (Henderson & Shilcrat, 1984) introduced the concept of logic sensor that defines an abstract specification of the sensors to integrate in a multisensor system. The recent developments of micro electro mechanical sensors (MEMS) with unwired communication capabilities allow a sensor network with interesting capacity. This technology was applied in several applications (Arampatzis & Manesis, 2005), including robotics. Cheekiralla and Engels (Cheekiralla & Engels, 2005) propose a classification of the unwired sensor networks according to its functionalities and properties. This paper presents a development of a sensor classification scheme based on the frequency spectrum of the signals and on a statistical metrics. Bearing these ideas in mind, this paper is organized as follows. Section 2 describes briefly the robotic system enhanced with the instrumentation setup. Section 3 presents the experimental results. Finally, section 4 draws the main conclusions and points out future work.

Two cooperating manipulators with fractional controllers

This paper analyzes the dynamic performance of two cooperative robot manipulators. It is studied the implementation of fractional-order algorithms in the position/force control of two cooperating robotic manipulators holding an object. The simulations reveal that fractional algorithms lead to performances superior to classical integer-order controllers.

Incentive-based demand response programs designed by asset-light retailers for day-ahead market

Following the deregulation experience of retail electricity markets in most countries, the majority of the new entrants of the liberalized retail market were pure REP (retail electricity providers). These entities were subject to financial risks because of the unexpected price variations, price spikes, volatile loads and the potential for market power exertion by GENCO (generation companies). A REP can manage the market risks by employing the DR (demand response) programs and using its' generation and storage assets at the distribution network to serve the customers. The proposed model suggests how a REP with light physical assets, such as DG (distributed generation) units and ESS (energy storage systems), can survive in a competitive retail market. The paper discusses the effective risk management strategies for the REPs to deal with the uncertainties of the DAM (day-ahead market) and how to hedge the financial losses in the market. A two-stage stochastic programming problem is formulated. It aims to establish the financial incentive-based DR programs and the optimal dispatch of the DG units and ESSs. The uncertainty of the forecasted day-ahead load demand and electricity price is also taken into account with a scenario-based approach. The principal advantage of this model for REPs is reducing the risk of financial losses in DAMs, and the main benefit for the whole system is market power mitigation by virtually increasing the price elasticity of demand and reducing the peak demand.

Efeito da velocidade média nos parâmetros espaciotemporais, angulares e de pressão plantar durante a marcha em indivíduos com meniscopatia

Introdução: A velocidade da marcha quando analisada, conjuntamente com outras variáveis, permite-nos uma melhor compreensão acerca da natureza dos défices e como direcionar o tratamento. Objectivo(s): avaliar a associação da velocidade média da marcha com as variáveis espaciotemporais, angulares e de distribuição das pressões plantares em indivíduos com lesão meniscal há 4 anos, utilizando o membro não lesado como controlo. Métodos: estudo realizado em dez participantes com lesão meniscal (idade 35,3 ± 10,63 anos, altura 170,0 ± 0,09 cm, massa 67,5 ± 7,22 kg) avaliados em 3 ciclos de marcha a uma velocidade auto-selecionada. A quantificação das variáveis foi calculada através do programa Ariel Performance Analysis System e pelo Pedar System. As imagens foram editadas, digitalizadas, transformadas e suavizadas com um filtro digital com uma frequência de corte de 6HZ. Para estimar a associação das variáveis foram efetuados modelos de regressão linear e apresentados os coeficiente de regressão (β) e os respetivos intervalos de confiança (IC95%). Resultados: Foi possível verificar que a velocidade está significativa e positivamente associada aos parâmetros temporais das fases oscilantes (βML=0,044; IC95%:0,015;0,073; βMNL=0,061; IC95%:0,037;0,086), oscilação inicial (βML=0,055; IC95%:0,006;0,105; βMNL=0,091; IC95%:0,011;0,170) e cadência (βML=0,016; IC95%:0,009;0,023; βMNL=0,011; IC95%:0,006;0,017), em ambos os membros, e aos parâmetros temporais das fases de apoio unilateral (βML=0,046; IC95%:0,019;0,07), oscilação terminal (βML=0,081; IC95%:0,003;0,159) e apoio médio (βML=0,046; IC95%:0,008;0,085), apenas no membro lesado. Foi também observada, em ambos os membros, a existência de associações negativas significativas com os parâmetros temporais das fases de duplo apoio (βML=-0,024; IC95%:-0,037;-0,011; βMNL=-0,032; IC95%:-0,048;-0,015), apoio (βML=-0,044; IC95%:-0,073;-0,015; βMNL=-0,061; IC95%:-0,086;-0,037), resposta de carga (βML=-0,029; IC95%:-0,055;-0,004; βMNL=-0,047; IC95%:-0,081;-0,013), pré-oscilação (βML=-0,047; IC95%:-0,082;-0,013; βMNL=-0,060; IC95%:-0,098;-0,023) e tempo do ciclo de marcha (βML=-1,435; IC95%:-2,090;-0,781; βMNL=-0,941; IC95%:-1,431;-0,451). Foi ainda identificada, no membro lesado, uma associação positiva com a pressão plantar máxima normalizada durante o contacto do calcanhar terminal (βML=0,612; IC95%:0,077;1,147) e com o passo normalizado (βML=2,413; IC95%:0,264;4,561) e uma associação negativa limítrofe com a amplitude de flexão do joelho durante a elevação da ponta dos dedos (βML=-0,031; IC95%:-0,061;0,000). Conclusão: A velocidade média da marcha parece influenciar bastante os parâmetros temporais, sem provocar grandes alterações nos parâmetros espaciais, angulares e de pressão plantar, sendo esta associação semelhante em ambos os membros e independente do local da lesão.