The evolution of a two-state system driven by a sequence of imperfect π pulses (with random phase or amplitude errors) is calculated. The resulting decreased fidelity is used to derive a plausible limit on the performance of ”bang-bang” control methods for the suppression of decoherence. Typeset using REVTEX

Sliding mode controller is applied to an ABS system in this paper. A mathematical model is used for controller design and evaluation. Finally, the proposed control action is compared with that of a bang-bang controller. Simulation results reveal the effectiveness of the proposed sliding mode controller. Key-Words: sliding mode control, ABS, slip, bang –bang control.

The problem of optimal feed-rate planning along a curved tool path for 3-axis CNC machines with a jerk limit for each axis is addressed. We prove that the optimal feed-rate planning must use “Bang-Bang” control, that is, at least one of the axes reaches its jerk bound throughout the motion. As a consequence, the optimal parametric velocity can be expressed as a piecewise analytic function of th...

A bang-bang controller is proposed which is able to ensure reference signal tracking with prespecified time-varying error bounds (the funnel) for nonlinear systems with relative degree one or two. For the design of the controller only the knowledge of the relative degree is needed. The controller is guaranteed to work when certain feasibility assumptions are fulfilled, which are explicitly give...

The new approach applies standard regulator theory using appropriate transformations and thereby enables the problem to be solved more completely than has hitherto been possible. For example we consider the cases which arise when Q is singular, Particular attention is given to the limiting case as t, becomes infinite. For this case, conditions are presented for the asymptotic stability of the s...

We consider Euler discretizations to a class of linear-quadratic optimal control problems. Assuming that the discrete controls are of bang-bang type and define switching functions with a uniform structure independent of the discretization we show, that the discrete controls converge to a bang-bang control, which is a solution of the original problem.

Second order sufficient optimality conditions for bang-bang control problems in a very general form have been obtained in [15, 21, 13, 12, 1]. These conditions require the positive definiteness (coercivity) of an associated quadratic form on the finite-dimensional critical cone. In the present paper, we investigate similar conditions for optimal control problems with a control variable having t...

A principal technical result of this paper is that the onedimensional heat equation with boundary control is exactly null-controllable with control restricted to an arbitrary set E ⊂ [0, T ] of positive measure. A general abstract argument is presented to show that this implies the ‘bangbang’ property for time-optimal controls — i.e., such a control can take only extreme values of (the hull of)...