Abstract
As China quickly urbanizes, urban domestic water generally presents the circumstances of both rising tendency and seasonal cycle fluctuation. A robust economic control decision method for dynamic uncertain systems is proposed in this paper. It is developed based on the internal model principle and pole allocation method, and it is applied to an urban domestic water supply system with rising tendency and seasonal cycle fluctuation. To achieve this goal, first a multiplicative model is used to describe the urban domestic water demand. Then, a capital stock and a labor stock are selected as the state vector, and the investment and labor are designed as the control vector. Next, the compensator subsystem is devised in light of the internal model principle. Finally, by using the state feedback control strategy and pole allocation method, the multivariable robust economic control decision method is implemented. The implementation with this model can accomplish the urban domestic water supply control goal, with the robustness for the variation of parameters. The methodology presented in this study may be applied to the water management system in other parts of the world, provided all data used in this study are available. The robust control decision method in this paper is also applicable to deal with tracking control problems as well as stabilization control problems of other general dynamic uncertain systems.
Highlights
According to China’s regulations, “urban” is defined as locations of county authorities or higher level authorities, as well as locations that have permanent resident populations of between 2000 and 100,000, among which the non-agricultural population accounts for more than 50% of the residential areas.China is undergoing a large-scale urbanization with a rapid growing urban population.urban domestic water demand is increasing dramatically
Urban domestic water often exhibits obvious characteristics of seasonal cycle fluctuation. Concerning this kind of characteristics of urban domestic water demand, we investigate the robust control decision method for water supply systems
In 2017, Wang et al addressed a robust periodic economic model predictive control (EMPC) based on interval arithmetic with unknown-but-bounded additive disturbances for the management of water distribution networks (WDNs), and the periodically optimal steady states were obtained by employing a periodic EMPC planner with the nominal model [25]
Summary
According to China’s regulations, “urban” is defined as locations of county authorities or higher level authorities, as well as locations that have permanent resident populations of between 2000 and 100,000, among which the non-agricultural population accounts for more than 50% of the residential areas. China is undergoing a large-scale urbanization with a rapid growing urban population. Urban domestic water demand is increasing dramatically. Urban domestic water often exhibits obvious characteristics of seasonal cycle fluctuation. Concerning this kind of characteristics of urban domestic water demand, we investigate the robust control decision method for water supply systems
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