A set-based estimation of heat loads for energy management in building systems

In this paper, an adaptive estimation technique for the estimation of time-varying parameters for a class of continuous-time nonlinear system is proposed for the estimation of unknown heat loads and heat sinks in building systems. The technique proposed is a set-based adaptive estimation that can be used to estimate the time-varying parameters along with an uncertainty set. The proposed method is such that the uncertainty set update is guaranteed to contain the true value of the parameters. Unlike existing techniques that rely on the use of polynomial approximations of the time-varying behaviour of the parameters, the proposed technique does not require a functional representation of the time-varying behaviour of the parameter estimates. A simulation example is used to illustrate the developed procedure.