The finite-horizon optimal control problem with input constraints consists in controlling the state of a dynamical system over a finite time interval (possibly unknown) minimizing a cost functional, while satisfying hard constraints on the input. For linear systems the solution of the problem often relies upon the use of bang-bang control signals. For nonlinear systems the “shape” of the optima...

Fast control of quantum systems is essential to make use of quantum properties before they degrade by decoherence. This is important for quantum-enhanced information processing, as well as for pushing quantum systems towards the boundary between quantum and classical physics. 'Bang-bang' control attains the ultimate speed limit by making large changes to control fields much faster than the syst...

This paper presents the transient stability assessment of TCPST, UPFC and TCSC. The control laws based on few assumptions were applied and have been found to be effective for power oscillation damping for large and small signals. The bang-bang control strategy is used for IPFC in which the injected voltage magnitudes were kept constant and only one of voltage angles was varied. The results of t...

E.I.Verriest and F.L.Lewis have presented in [1] a new method to approach the minimum-time control of linear continous-time systems avoiding the Bang-Bang control. Their method relied on the optimization of a cost including time energy and precisions terms. Then, N.Elalami and N.Znaidi [2], extended these results to the discrete-time linear systems. The objective of this work is to propose an a...

Bang-bang control problems subject to a state inequality constraint are considered. It is shown that the control problem induces an optimization problem, where the optimization vector assembles the switching and junction times for bangbang and boundary arcs. Second order sufficient conditions (SSC) for the stateconstrained control problem are given which require that SSC for the induced optimiz...

This paper introduces a new application of adaptive control theory to power control in a code division multiple access (CDMA) cellular system operating over mobile fading radio channels. Conventional feedback power control algorithms allow the base station to send a power command to either raise or lower each user’s transmission power according to a bang-bang-like control policy. In this paper,...