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In this paper we examine a supermarket system. In order to grasp the most important dynamics we present a model that includes the single zone building thermal envelope with its heating, cooling and ventilation. Moreover we include heat waste recovery from the refrigeration high pressure side. The retrieved heat excess can be stored in the water tank. For this purpose the charging and the discharging...
In this paper we introduce an algorithm for the synthesis of polynomial Lyapunov functions for polynomial vector fields. The Lyapunov function is a continuous piecewisepolynomial defined on simplices, which compose a collection of simplices. The algorithm is elaborated and crucial features are explained in detail. The strengths and weaknesses of the algorithm are exemplified and a new way of sub-dividing...
We strive to prove stability of a hydraulic network, where the pressure at the end user is controlled with PI control. The non-polynomial model is represented by numerous polynomial systems defined on sub-sets of Rn. The sub-sets are defined by compact basic semi-algebraic sets. The stability of the PI-controller is proved by designing a Lyapunov function which fulfils different criteria in different...
In this paper, we present a simple modelling approach for a thermal system, which consists of heating, ventilation, air conditioning system (HVAC) and a vapour compression cycle (VCC) system, with one loop heat recovery. In addition a simple model for water tank is presented, in which the reclaimed heat is stored and/or which can be used for heating purposes of the building. We present a dynamic optimization...
Water scarcity is an increasing problem worldwide and at the same time a huge amount of water is lost through leakages in the distribution network. It is well known that improved pressure control can lower the leakage problems. In this work water networks with a single pressure actuator and several consumers are considered. Under mild assumptions on the consumption pattern and hydraulic resistances...
This paper addresses the problem of an optimal actuator configuration in an economic perspective. The objective is to minimize the economical cost of operating a given plant. Functionals encapsulating information of the business objectives given the different actuators have been established with particular focus on a boiler in a power plant operated by DONG Energy - a Danish energy supplier. The problem...
This paper presents a systematic approach to design gain-scheduled predictive controllers for wind turbines. The predictive control law is based on Laguerre functions to parameterize control signals and a parameter-dependent cost function that is analytically determined from turbine data. These properties facilitate the design of speed controllers by placement of the closed-loop poles (when constraints...
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