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Model predictive control of linear time varying systems using Laguerre functions

It has been shown that Laguerre functions successfully reduce the number of decision variables in model predictive control of linear time invariant (LTI) systems. In this paper we extend the use of Laguerre functions to deal with linear time-varying (LTV) systems in the model predictive control framework. It is shown that Laguerre functions enable us to reduce the number of decision variables significantly and with a satisfactory performance. An example illustrating the unconstrained and constrained cases is provided.