Abstract-This paper considers the controller synthesis problem for the class of linear time-invariant L2 behaviors. We introduce classes of LTI L2 systems whose behavior can be represented as the kernel of a rational operator. Given a plant and a controlled system in this class, an algorithm is developed that produces a rational kernel representation of a controller that, when interconnected with the plant, realizes the controlled system. This result generalizes similar synthesis algorithms in the behavioral framework for infinitely smooth behaviors that allow representations as kernels of polynomial differential operators.

In this article, we discuss the design and implementation of a receding horizon control (RHC) which will be used to represent the control for the baroreceptor loop in the human cardiovascular system (CVS). This control will be applied to a model of the CVS developed in a previous work by Kappel and Peer. In that earlier work, a linear quadratic control strategy (LQR) was implemented to represent this baroreflex control which was designed to stabilize the system under an ergometric workload. The RHC approach will be examined as an alternate to the LQR implementation. The control parameters in the cost functional of the RHC will be estimated using the same experimental data as was used in the LQR study. The results of the RHQ implementation will be compared with the LQR implementation.

A common approach to increase reliability and efficiency of manufacturing systems is optimal scheduling. In this paper, we consider scheduling problems for a specific type of systems where batch processes are running in parallel. The goal is to schedule the interaction between the parallel processes, in the form of energy flows, to minimize a desired objective. We make use of a max-plus approach in the formulation of the scheduling problem and use this formulation in the optimization subsequently. This framework has been used to formulate and optimize a case study for the production of calcium silicate stones.

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