Linear motors have many advantages in compare with rotary motors due to directly creating linear motion without gears or belts,... It is hard to apply the online model predictive controller for electro-mechanism syste...
详细信息
ISBN:
(纸本)9781538634226
Linear motors have many advantages in compare with rotary motors due to directly creating linear motion without gears or belts,... It is hard to apply the online model predictive controller for electro-mechanism systems with input, output and state constraints because it requires the good ability in calculations of microcontroller and the nonlinear property of these models. In this paper, the exact linearization is applied to obtain the corresponding linear model and we propose the offline model predictive control law based on multi-parametric programming (MPP) for permanent magnet linear synchronous motors (PMLSM) to remarkably reduce amount of calculation. Thus, it is convenient for embedding the control law into microcontroller. Several simulation results show the ability of the proposed method in this paper.
With the huge development of Unmanned Aerial Vehicle (UAV) in both military and civilian applications, the Unmanned Aircraft Systems (UAS) are required to adapt to complex environment and various missions. The adaptat...
详细信息
ISBN:
(纸本)9781467383127
With the huge development of Unmanned Aerial Vehicle (UAV) in both military and civilian applications, the Unmanned Aircraft Systems (UAS) are required to adapt to complex environment and various missions. The adaptation technologies for UAS include adaptive modulation method, adaptive coding method, adaptive antenna diversity or power and adaptive parametric of data link. In this paper, we proposed a multi-parametric programming approach for data link of communication system in UAV based on state machine. We also present the state transition design for the state machine and describe the transition in detail according to different parameters of data link. In addition, the implementation of the state machine is presented.
Uncertainties exist at all levels of the industrial design and manufacturing. Hitherto, all the studies that handle multi-parametric programming (mp-LP, mp-QP, mp-NLP, mp-MILP, and mp-MINLP) treat uncertainties to be ...
详细信息
ISBN:
(纸本)9783319083773;9783319083766
Uncertainties exist at all levels of the industrial design and manufacturing. Hitherto, all the studies that handle multi-parametric programming (mp-LP, mp-QP, mp-NLP, mp-MILP, and mp-MINLP) treat uncertainties to be independent of each other;while under some circumstances, there might exist some kinds of quantitative relationship among them. There is still a lack of research studies on the relationship between these uncertainties, which can help simply the complexity of multi-parametric optimization problems in terms of reducing the dimension of uncertainty space or the region of uncertainty space. This paper presents multiple types of relationships among uncertainty parameters, which can be generalized into two categories: strong relationship and weak relationship. The strong relationship can be used to reduce the dimension of uncertainty space while the weak relationship can be used to reduce the region of uncertainty space. With the combination of the above relationships, different kinds of multi-parametric programming problems can be solved more efficiently and effectively toward global optimality.
This work addresses the topic of constrained dynamic programming for problems involving multi-stage mixed-integer linear formulations with a linear objective function. It is shown that such problems may be decomposed ...
详细信息
This work addresses the topic of constrained dynamic programming for problems involving multi-stage mixed-integer linear formulations with a linear objective function. It is shown that such problems may be decomposed into a series of multi-parametric mixed-integer linear problems, of lower dimensionality, that are sequentially solved to obtain the globally optimal solution of the original problem. At each stage, the dynamic programming recursion is reformulated as a convex multi-parametric programming problem, therefore avoiding the need for global optimisation that usually arises in hard constrained problems. The proposed methodology is applied to a problem of mixed-integer linear nature that arises in the context of inventory scheduling. The example also highlights how the complexity of the original problem is reduced by using dynamic programming and multi-parametric programming. (C) 2014 Elsevier Ltd. All rights reserved.
Achieving the desired level of satisfaction for a decision- maker in any decision- making scenario is considered a challenging endeavor because minor modifications in the process might lead to incorrect findings and i...
详细信息
Achieving the desired level of satisfaction for a decision- maker in any decision- making scenario is considered a challenging endeavor because minor modifications in the process might lead to incorrect findings and inaccurate decisions. In order to maximize the decision-maker's satisfaction, this paper proposes a Single-valued Neutrosophic Geometric programming model based on pentagonal fuzzy numbers. The decision-maker is typically assumed to be certain of the parameters, but in reality, this is not the case, hence the parameters are presented as neutrosophic fuzzy values. The decision-maker, with this strategy, is able to achieve varying levels of satisfaction and dissatisfaction for each constraint and even complete satisfaction for certain constraints. Here the decision maker aims to achieve the maximum level of satisfaction while maintaining the level of hesitation and minimizing dissatisfaction in order to retain an optimum solution. Furthermore, transforming the objective function into a constraint adds one more layer to the N-dimensional multi-parametrizes and. The advantages of this multi-parametrized proposed method over the existing ones are proven using numerical examples.
A parametric-programming-based framework was previously proposed to coordinate the market operations of the independent system operator (ISO) and the distribution system operator (DSO). This paper extends this framewo...
详细信息
ISBN:
(纸本)9780998133171
A parametric-programming-based framework was previously proposed to coordinate the market operations of the independent system operator (ISO) and the distribution system operator (DSO). This paper extends this framework by investigating optimal DSO pricing in addition to the ISO-DSO coordinated dispatch. In our DSO pricing problem, after ISO clears the wholesale market, the locational marginal price (LMP) of the ISO-DSO coupling substation is determined, the DSO utilizes this price to solve the DSO pricing problem. The DSO pricing problem determines the distribution LMP (D-LMP) in the distribution system and calculate the payment to each aggregator. Proofs are provided to 1) demonstrate the D-LMP at the ISO-DSO coupling substation from this DSO pricing problem always aligns with the wholesale LMP from the ISO;and 2) demonstrate the relationship between the DSO pricing and dispatch models. Case studies on a small illustrative example verify the performance of the proposed pricing model.
In the era of big data, data centers with high energy consumption, interconnectivity, and load flexibility have developed rapidly. However, due to data privacy issues, the traditional power-system operational reliabil...
详细信息
In the era of big data, data centers with high energy consumption, interconnectivity, and load flexibility have developed rapidly. However, due to data privacy issues, the traditional power-system operational reliability assessment (ORA) struggles to precisely consider the load flexibility of data centers, leading to inaccurate evaluation. To this end, this article proposes an ORA method considering the load flexibility of data centers via the energy consumption elastic space. By transforming the inner operation constraints of data centers into an equivalent elastic space, the ORA does not require any private data to complete the evaluation. Specifically, the energy consumption model of data centers is established to accurately describe the load flexibility. Then, based on multi-parametric programming techniques, the energy consumption elastic space of data centers is characterized by data centers' power demand constraints, which do not involve privacy data, and no privacy concerns exist. Finally, the ORA model and the evaluation method based on the energy consumption elastic space can be constructed. With a lot of data center operation constraints being replaced by power demand constraints, the proposed method can complete an evaluation faster without accuracy loss. Its effectiveness is validated through simulations using the IEEE RTS 24-bus system and a provincial 661-bus system.
In this paper we address the slotting problem for metal interconnections in integrated circuit automation design for high current conducting metal layers. We show how to design a slotting approach by means of multi-pa...
详细信息
In this paper we address the slotting problem for metal interconnections in integrated circuit automation design for high current conducting metal layers. We show how to design a slotting approach by means of multi-parametric programming. We present a definition of optimization problem for convex shapes of metal layers. Constraints of the problem will reflect restrictions of the production technology and a solution will avoid usage of a commercial optimization solver on a user's side. We will present the approach on an application for generating a power transistor. The approach is applied for specific very-large-scale integration (VLSI) production technology. The solution exhibits simple implementation and gives results in an acceptable response time.
Demand response (DR) leverages demand-side flexibility, offering a promising approach to enhance market conditions like mitigating wholesale price spikes. However, poorly chosen DR locations can inadvertently increase...
详细信息
Demand response (DR) leverages demand-side flexibility, offering a promising approach to enhance market conditions like mitigating wholesale price spikes. However, poorly chosen DR locations can inadvertently increase electricity prices. For that, we introduce a method to rigorously select DR locations and corresponding demand reductions. We formulate a bilevel program where the upper level determines the DR locations and demand reductions while ensuring the average nodal prices meet a predetermined target. The lower level tackles an economic dispatch (ED) problem and feeds the resulting nodal prices back to the upper level based on post-DR demands. This bilevel formulation presents challenges due to the lower-level non-convexity affecting the upper-level constraints on average nodal prices. To address this, we propose to replace the lower level with a piecewise linear function representing the price-demand relationship, solving iteratively for each linear segment. This results in a tractable mixed-integer linear program. An acceleration strategy is proposed to further reduce the computation time. Numerical studies demonstrate the ability of the proposed approach to reduce prices to a desired level. Besides, we empirically show that the proposed approach is robust against inaccurate system parameters and can reduce computation time by over 50%.
A novel framework for flexibility assessment in the context of system design is proposed. We deal with the case when the design space is bounded by a set of affine bounds defining a convex-hull. For this class of prob...
详细信息
A novel framework for flexibility assessment in the context of system design is proposed. We deal with the case when the design space is bounded by a set of affine bounds defining a convex-hull. For this class of problems several flexibility metrics can be calculated, which are related to the minimum/maximum distances between any point in the design space and the less/most distant points at its bounds, respectively. In the first case, the distance functions are obtained via projection to individual bounds, and in the second case, the distance functions are defined via the Euclidean distance to the corners of convex hulls. These two sets of functions can then be used separately to calculate the minimum/maximum of the complete set of minimum/maximum distance functions over the full design space. This approach effectively enables the definition of four multi-parametric programming problems, and deliver four flexibility maps from their solutions. Flexibility maps based on the average of the two sets of distance functions are also delivered. This offers a plethora of complementary metrics for flexibility assessment, which extend beyond the classic approach based on the definition of feasible boxes. From the full set of solutions enabled by this framework, the minimum-minimum and maximum-maximum distance-based flexibility maps stand out as the extreme and most useful cases for flexibility assessment;the initial experimentation with these maps suggest that the average-minimum and particularly the average-maximum distance cases also provide useful information as an overall score on flexibility for any points within the design space.
暂无评论