scholarly journals Optimum control of purpose activities in the area of quality based on a linear model of dynamics in state space

2021 ◽  
Vol 2131 (5) ◽  
pp. 052014
Author(s):  
A Ivakhnenko ◽  
O Anikeeva ◽  
O Erenkov

Abstract The paper considers the optimization problem formulation at goal-setting in the field of quality on the basis of a dynamics verified linear model in the state space using stepwise and linear laws of enterprise activity management. The classical quadratic functional to find optimal solutions for goal-setting was used. The direct connection of these functional components with the Taguchi loss function for product quality indicators has been substantiated, and the function scope application on the managing purposeful activities process has been expanded. The optimization parameters are determined, which are the amplification factors of the control actions. These actions ensure the actual attainability of the set goals in the field of quality during the time planned period. The optimal solutions search was carried out on the example of the textile and light industry CJSC “Salyut” (St. Petersburg). The functional minimum value in case of stepwise control law is more than 14 times greater than with a linear law. This fact found under the condition of equal unit costs for quality losses and control caused by their deviations from the nominal values. The results obtained can be used for a reasonable choice of the enterprise management law in the goal-setting in the field of quality.

2018 ◽  
Vol 15 (2) ◽  
pp. 93 ◽  
Author(s):  
Muhammad Fajar ◽  
Ony Arifianto

The autopilot on the aircraft is developed based on the mode of motion of the aircraft i.e. longitudinal and lateral-directional motion. In this paper, an autopilot is designed in lateral-directional mode for LSU-05 aircraft. The autopilot is designed at a range of aircraft operating speeds of 15 m/s, 20 m/s, 25 m/s, and 30 m/s at 1000 m altitude. Designed autopilots are Roll Attitude Hold, Heading Hold and Waypoint Following. Autopilot is designed based on linear model in the form of state-space. The controller used is a Proportional-Integral-Derivative (PID) controller. Simulation results show the value of overshoot / undershoot does not exceed 5% and settling time is less than 30 second if given step command. Abstrak Autopilot pada pesawat dikembangkan berdasarkan pada modus gerak pesawat yaitu modus gerak longitudinal dan lateral-directional. Pada makalah ini, dirancang autopilot pada modus gerak lateral-directional untuk pesawat LSU-05. Autopilot dirancang pada range kecepatan operasi pesawat yaitu 15 m/dtk, 20 m/dtk, 25 m/dtk, dan 30 m/dtk dengan ketinggian 1000 m. Autopilot yang dirancang adalah Roll Attitude Hold, Heading Hold dan Waypoint Following. Autopilot dirancang berdasarkan model linier dalam bentuk state-space. Pengendali yang digunakan adalah pengendali Proportional-Integral-Derivative (PID). Hasil simulasi menunjukan nilai overshoot/undershoot tidak melebihi 5% dan settling time kurang dari 30 detik jika diberikan perintah step.


2020 ◽  
Vol 4 (46) ◽  
pp. 210-216
Author(s):  
V. V. Prokhorova ◽  
◽  
O. V. Bozhanova ◽  
Y. V. Yukhman ◽  
◽  
...  

The actual value of the topic lies in the fact that nowadays the development of the world economic system is accompanied by innovative processes. Innovative development of enterprises is the only possible way to steer a country’s economy out of crisis. For most domestic industrial enterprises it is necessary to completely abandon the traditional enterprise management system or, at least, to transform it. Thus, it is becoming more and more actual to use methods and tools, which can foster innovative development in various activity areas at an enterprise, and the importance of reengineering as an innovative basis for the reconstruction of the enterprise management system is growing. The article aims at designing a conceptual foundation for reengineering as an innovative basis for the reconstruction of the enterprise management system. The authors reveal the content of reengineering and demonstrate its importance as the innovative basis for reconstructing the enterprise management system. The advantages of using reengineering are highlighted, the essence of reengineering as an economic process is identified. It is stated that reengineering allows providing a systematic and comprehensive approach to the innovative refocusing and restructuring of the enterprise management system as a whole, or of its individual functional components. The authors’ own definition of "reengineering" is offered. It is substantiated that reengineering allows reconstructing the enterprise management system in an innovative way. The need for the reengineering of the enterprise management system is shown. The conceptual basis of reengineering as an innovative basis for reconstructing the enterprise management system is proposed. The basis contains the principles, on which reengineering is grounded as an innovative basis for reconstructing the enterprise management system; and the main stages of reengineering. Reengineering as an innovative basis for reconstructing the enterprise management system involves holistic and systematic modeling and fundamentally changes the enterprise information flow; as a result, the organization structure is simplified, resources are redistributed, individual resources consumption is minimized, product life is reduced, the service quality and image are improved.


Author(s):  
DAVID W. COIT ◽  
JIA CHEN LIU

Optimal solutions to the redundancy allocation problem are determined for systems designed with multiple k-out-of-n subsystems in series. The objective is to select the components and redundancy levels to maximize system reliability given system-level constraints. The individual subsystems may use either active or cold-standby redundancy, or they may require no redundancy. Previously, optimization methods for this problem either pertained to k-out-of-n systems consisting of a single subsystem or to series–parallel systems (k=1). Additionally, it had generally been assumed that only active redundancy was to be used. In practice design problems can vary appreciably from these restrictions and the design process may consider more complex system configurations. Unfortunately, available optimization algorithms are inadequate for many of these design problems. The methodology presented here is specifically developed to accommodate the case with k-out-of-n subsystems. Optimal solutions to the problem are found by an equivalent problem formulation and integer programming. The methodology is demonstrated on a well-known test problem with interesting results. The availability of this tool fills a void and should result in more reliable and cost-effective engineering designs.


2021 ◽  
Vol 2131 (3) ◽  
pp. 032021
Author(s):  
A Voevoda ◽  
V Shipagin ◽  
K Bobobekov

Abstract Modification of the algorithm for the polynomial synthesis of a multi-channel controller was proposed to preserve all control channels in this article. In order to test the functionality of the proposed modification, an example of a linear model of an unstable multi-channel plant is considered. The choice of the plant was determined by the possibility of a visual algorithm demonstration for polynomial synthesis of the controller, taking into account the proposed modifications.The plant was represented as three series-connected standard links: an aperiodic link of the first order, an unstable link, and an integrator, and has three input and two output channels. The control in the system is carried out in the feedback of the system and is summed up with the input impact. The feature of the plant is to limit the task to the second output, since it is essentially a derivative of the first output. In addition, the plant has a direct input–output channel. That is, the traversal matrix of the system is nonzero (when described through the state space). The synthesis task was set as follows: it is necessary to achieve certain quality indicators of the output vector value while maintaining all three control channels of the plant.


Author(s):  
Tianyi Gu

Heuristic search methods are widely used in many real-world autonomous systems. Yet, people always want to solve search problems that are larger than time allows. To address these challenging problems, even suboptimally, a planning agent should be smart enough to intelligently allocate its computational resources, to think carefully about where in the state space it should spend time searching. For finding optimal solutions, we must examine every node that is not provably too expensive. In contrast, to find suboptimal solutions when under time pressure, we need to be very selective about which nodes to examine. In this work, we will demonstrate that estimates of uncertainty, represented as belief distributions, can be used to drive search effectively. This type of algorithmic approach is known as metareasoning, which refers to reasoning about which reasoning to do. We will provide examples of improved algorithms for real-time search, bounded-cost search, and situated planning.


Author(s):  
Yu Du ◽  
Gary Kochenberger ◽  
Fred Glover ◽  
Haibo Wang ◽  
Mark Lewis ◽  
...  

Finding good solutions to clique partitioning problems remains a computational challenge. With rare exceptions, finding optimal solutions for all but small instances is not practically possible. However, choosing the most appropriate modeling structure can have a huge impact on what is practical to obtain from exact solvers within a reasonable amount of run time. Commercial solvers have improved tremendously in recent years and the combination of the right solver and the right model can significantly increase our ability to compute acceptable solutions to modest-sized problems with solvers like CPLEX, GUROBI and XPRESS. In this paper, we explore and compare the use of three commercial solvers on modest sized test problems for clique partitioning. For each problem instance, a conventional linear model from the literature and a relatively new quadratic model are compared. Extensive computational experience indicates that the quadratic model outperforms the classic linear model as problem size grows.


Author(s):  
Qingcai Yang ◽  
Yunpeng Cao ◽  
Fang Yu ◽  
Jianwei Du ◽  
Shuying Li

This paper is mainly concerned with the health estimation of a gas turbine using a symbolic linearization model approach. Health parameters will change with the degradation of gas turbine performance. Monitoring and evaluating these health parameters can assist in the development of predictive control techniques and maintenance schedules. Currently, various health parameter estimation methods have been studied extensively, but there have been less related studies on how to obtain statespace models. In this paper, a symbolic linearization model method is presented to overcome the shortcoming of high time consumption suffered by existing methods. In this method, each component model of the dynamic nonlinear gas turbine model is decomposed into several sub-modules, each of which contains a simple nonlinear equation. By means of symbolic computation, a linear model of the components is derived by linearizing these sub-modules, and then the generalized linear state-space model of the gas turbine is derived from the relationship among the components. In the generalized linear state-space model, the Jacobian matrices are functions of the parameters under a steady-state operating condition. Therefore, it is easy to obtain a linear model that represents the dynamics of the gas turbine under a given operating condition. To estimate the health parameters of a gas turbine, a piecewise linear model is developed using the proposed approach, and this model is verified in a simulation environment. The results show that the developed piecewise linear model can capture the behavior of a gas turbine quite closely. Then, a linearized Kalman filter is designed for estimating the health parameters under steady-state and transient conditions. The results show that the generalized linear model established using the presented method can be used to accurately estimate the health parameters of a gas turbine.


1994 ◽  
Vol 24 (2) ◽  
pp. 325-332 ◽  
Author(s):  
R.J. Verrall

AbstractThis paper considers the application of state space modelling to the chain ladder linear model in order to allow the run-off parameters to vary with accident year. In the usual application of the chain ladder technique, the development factors are assumed to be the same for each accident year. This implies that the run-off shape does not alter with accident year. This paper shows how this assumption can be relaxed in order to allow a recursive smooth model to be applied, or for large changes in the shape of the run-off curve. It is possible for these changes to be modelled using external inputs, or for a multiprocess model to be used to detect changes in the run-off shape.


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