In this study, the -gain control issues on positive system are investigated. A hybrid proportional impulsive with integral (PII) control scheme is proposed. This impulse-time-dependent control algorithm uses the propo...
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In this study, the -gain control issues on positive system are investigated. A hybrid proportional impulsive with integral (PII) control scheme is proposed. This impulse-time-dependent control algorithm uses the proportional control action at impulse instants for stabilising, and applies the integral control strategy between impulse time intervals for improving the state convergence, respectively. The average impulsive interval approach and co-positive Lyapunov function method are employed to derive the sufficient conditions. Then -gain performance of the impulsive positive system can be guaranteed by solving the linear programming problem. In addition, iterative convex optimisation algorithm is presented for the design of PII control gain matrices. Numerical examples illustrate the expected results of this design.
Energy consumption is considered to be scope for wide range of research. This paper is an attempt to the process of energy conservation in the field of lighting science. A classroom with multiple locations and differe...
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Energy consumption is considered to be scope for wide range of research. This paper is an attempt to the process of energy conservation in the field of lighting science. A classroom with multiple locations and different combinations of four luminaires were considered for the study. linear programming problem is used to optimize the energy consumption with respect to illuminance at particular location. This study depicts the relation between energy consumption and number of luminaires at certain location considering individual satisfaction as a dynamic factor. Result shows the effectiveness of the methodology on light energy consumption satisfying individual preferred illuminance.
We present an optimal signal timing policy for multi-phase intersections. The policy is optimal in the sense of minimizing the increase in the number of queuing vehicles, i.e. maximizing throughput, within one signal ...
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Construction of difference schemes of high approximation orders for hyperbolic problems is still an important problem. For the construction of grid-characteristic methods, difference schemes were earlier analyzed in t...
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Construction of difference schemes of high approximation orders for hyperbolic problems is still an important problem. For the construction of grid-characteristic methods, difference schemes were earlier analyzed in the space of undetermined coefficients, where the coefficients of high order derivatives in the first differential approximation of the difference scheme were used as the objective function to be minimized. Other reasonable functionals in the space of undetermined coefficients that are linear in the coefficients of the scheme may be used. By solving a linear programming problem, difference schemes meeting various conditions can be chosen. An example of the linear functional related to the approximation properties of the problem is discussed. It is proposed to call it the generalized approximation condition. Based on this condition, a difference scheme of a novel class is built that has no analogs in the literature. The presentation uses the transport equation with a constant coefficient as an example.
Microgrids (MGs) utilising both renewables and energy storage to optimise onsite energy consumption rather than importing power form the utility grid, require a tertiary-level energy management system (EMS). The EMS m...
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Microgrids (MGs) utilising both renewables and energy storage to optimise onsite energy consumption rather than importing power form the utility grid, require a tertiary-level energy management system (EMS). The EMS must monitor and control the energy exchange within the nodes of MG to maximise any solar energy generation and benefit from installed storage. This paper considers a single-family house as the MG that has DC distribution circuit model. The look-ahead EMS is formulated as a linear programming problem, which has been tested in both offline simulation and hardware-in-the-loop (HIL) simulation environment. The simulation results indicate that the proposed look-ahead EMS can effectively reduce the DC MG operation cost without any operational constraint violation. In addition, the proposed look ahead energy optimisation approach has the potential to be used in a large-scale system such as a community MG with multiple buildings.
The optimum utilization of alternative sources of energy are allied with supply of electrical power to the elected area of customers underneath grid connected or standalone mode. An alternative source of energy suppor...
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ISBN:
(纸本)9781538673393
The optimum utilization of alternative sources of energy are allied with supply of electrical power to the elected area of customers underneath grid connected or standalone mode. An alternative source of energy supports the high reliability in on-site generation. Consequently, it is found many hybrid schemes all ready existence like micro wind turbine, SPV panels, Small hydro, Biomass energy and Biogas energy systems. Moreover integrated renewable energy system (IRES) is further effective in comparison to grid extension which is too expensive. The representation of IRES provides support to specific site which is located on the nearly accessible Non-conventional energy resources and load requirement. This article reveal that an optimal modeling of MHP, solar, bio-mass, wind and bio-gas energy scheme for un-electrified remote area in Gujarat. Considering this, the seven un-electrified clusters of villages in taluka, Limkheda and district, Dahod in Gujarat state have been selected as study region. The best possible daily scheduling approach for renewable energy sources (RES) like solar, wind, small hydro, biomass, and biogas system with using battery set storage system has been proposed in this paper. The proposed IRES model has been proposed that is more economical in terms of operating cost. The proposed model has been optimized using Primal- Dual Interior Point (PDIP) method in linear programming problem (LPP) technique. The proposed representation has been verified in MATLAB environment.
The Louvain method is one of the typical network clusterings. It is well-known that the Louvain method obtains better cluster partition in a short time. However, there are several network data which are not obtained b...
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ISBN:
(纸本)9781538626337
The Louvain method is one of the typical network clusterings. It is well-known that the Louvain method obtains better cluster partition in a short time. However, there are several network data which are not obtained better cluster partition by the Louvain method. One of the reasons for the above is that the Louvain method focuses on an only edge connection. We proposed the method which focuses on node size. The proposed method optimizes the objective function of k-medoids by solving the linear programming problem under the constraints on node size. We verified the usefulness of the proposed method in the viewpoint of calculation time and accuracy with an artificial and benchmark unweighted network datasets. The numerical examples show that the proposed method is faster and obtains better cluster partition than the Louvain method. The Euclidean distance in adjacency matrix does not obtain better cluster partition for the datasets, which consist of terminal nodes or high degree nodes.
In this study, the asynchronous l positive filtering problem for a class of switched positive system with detection delay is investigated. The switched sequence satisfies modal-dwell-time (MDT) condition and the detec...
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In this study, the asynchronous l positive filtering problem for a class of switched positive system with detection delay is investigated. The switched sequence satisfies modal-dwell-time (MDT) condition and the detection delay is both time-varying and allowed to be overlapped with each other. A new linear copositive Lyapunov function, which is time-dependent, mode-dependent and MDT-dependent, is constructed and the stability of the underlying filtering error system is established. Based on the established stability result, conditions guaranteeing the l stability of the corresponding filtering error system are further derived. The allowable total running time of the unmatched sub-filters is presented to be upper bounded by a linear combination of those running on matched sub-filters. An asynchronous positive filter with l disturbance suppression performance for the underlying switched positive system with overlapped detection delay is designed by solving a linear programming problem. The effectiveness of the proposed filter is illustrated by a numerical example.
This study addresses the stabilisation problem via decentralised controllers for continuous-time positive fractional-order (FO) interconnected systems. By virtue of the positivity, a necessary and sufficient condition...
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This study addresses the stabilisation problem via decentralised controllers for continuous-time positive fractional-order (FO) interconnected systems. By virtue of the positivity, a necessary and sufficient condition is first derived for asymptotic stability of the interconnected closed-loop system. Then, necessary and sufficient conditions for designing a decentralised state-feedback controller are formulated in the form of a linear programming problem which can be effectively solved by using various convex optimisation algorithms. The effectiveness of the obtained theoretical results is demonstrated by a numerical example in positive FO circuits.
This study considers the problem of exponential mean stability and stabilisation of two-dimensional positive Markov jump systems with delays. Necessary and sufficient delay-dependent conditions for exponential mean st...
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This study considers the problem of exponential mean stability and stabilisation of two-dimensional positive Markov jump systems with delays. Necessary and sufficient delay-dependent conditions for exponential mean stability of the closed-loop system are first derived. Then, a design scheme based on a linear programming problem is proposed for obtaining parameters of a mode-dependent controller that makes the closed-loop system positive and exponentially mean stable. Finally, two numerical examples are presented to illustrate the effectiveness of the obtained results.
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