We investigate the simultaneous regularization and discretization of an optimal control problem with pointwise control constraints. Typically such problems exhibit bang-bang solutions: the optimal control almost everywhere takes values at the control bounds. We derive discretization error estimates that are robust with respect to the regularization parameter. These estimates can be used to make...

This paper presents a new method for the semi-active control of the span system of linear guideways subjected to a travelling load. Two elastic beams are coupled by a set of controlled dampers. The relative velocity of the spans provides an opportunity for efficient control via semi-active suspension. The magnitude of the moving force is assumed to be constant by neglecting inertial forces. The...

The minimum-time problem frequently arises in the design of control for actuators, and is usually solved assuming to know the correct model of the system. In industrially important cases, however, important parts of the dynamics, like friction forces or disturbances by exosystems, are hardly known or even unknown. Against this background, this paper presents an iterative approach to achieve the...

A large collection of financial contracts offering guaranteed minimum benefits are often posed as control prob4 lems, in which at any point in the solution domain, a control is able to take any one of an uncountable number of 5 values from the admissible set. Often, such contracts specify that the holder exerts control at a finite number of 6 deterministic times. The existence of an optimal ban...

We first show the influence of mortality on our model predictions as a robustness check, and second we show that the optimal control is of bang-bang type, with one unique switch, for annuals with constrained growth, fixed season length, and constant mortality. As a robustness check we extend the model with constant background mortality rate m. We assume that the vegetative part grows according ...

In this paper, we propose a new fuzzy bang–bang relay controller (FBBRC). The bang–bang control systems use switching relays or hard limiter saturation functions with fixed parameters, and their input does not have the flexibility to control the non-linear system over its entire range of operation. The conventional fuzzy bang–bang controllers have an analog output and an external hard limiting ...