Active noise control (ANC) systems employing the conventional fast affine projection (FAP) algorithms may lead to low ANC performance when the non-unity step size is chosen. To solve the problem, an LDL T fast affine projection algorithm was proposed recently for the linear ANC. In this paper, the LDL T -FAP algorithm is further utilized, along with a third-order Volterra filter, for nonlinear ...

In a geometric point of view, a nonlinear control system, affine in the controls, is thought of as an affine subbundle of the tangent bundle of the state space. In deriving conditions for local controllability from this point of view, one should describe those properties of the affine subbundle that either ensure or prohibit local controllability. In this paper, second-order conditions of this ...

We consider a nonlinear ordinary differential equation and want to control its behavior so that it reaches a target by minimizing a cost function. Our approach is to use hybrid systems to solve this problem: the complex dynamic is replaced by piecewise affine approximations which allow an analytical resolution. The sequence of affine models then forms a sequence of states of a hybrid automaton....

In [22] a form of extremum seeking for control (ESC) was developed for the stabilization of uncertain nonlinear systems. In ESC the extremum seeker controls the systems through feedback rather than fine tuning a controller. The ESC results, and other related results, apply only to systems affine in control. However, in most physical systems the control effort enters the system’s dynamics throug...

An adaptive nonlinear robust controller for a novel highly maneuverable dual-ducted UAV is considered in this paper. The dynamics of the system is highly nonlinear and not originally in the control-affine form. At first the equations governing the dynamics of the system are extracted. Then a change of variables is proposed to transform the dynamic equations into the control-affine form. It is a...

We announce a new construction of a stabilizing feedback law for nonlinear globally asymptotically controllable (GAC) systems. Given a control affine GAC system, our feedback renders the closed loop system input to state stable with respect to actuator errors and small observation noise. We also announce a variant of our result for fully nonlinear GAC systems.

Fluid mixing controls many natural and industrial processes, including the spread of air pollution1, mass transfer and reactions in microfluidic devices2,3 and the detection of odours or other chemical signals4. Strongly nonlinear flows enhance mixing by chaotic advection5,6, stretching and folding7,8 fluid volumes. Though these processes have been studied in simple models9,10, stretching and f...

Various alternative definitions for the nonlinear H2-, L2and ν-gap metrics are studied. The concept of β-conjugacy and multiplicative homogeneity are introduced to relate the metrics to each other and to compare the stability margins of nonlinear feedback loops expressed in terms of the norms of complementary parallel projections. Left and right representations for the graph of a nonlinear syst...

Reconstructing the full contour of the tongue from the position of 3 to 4 landmarks on it is useful in articulatory speech work. This can be done with submillimetric accuracy using nonlinear predictive mappings trained on hundreds or thousands of contours extracted from ultrasound images. Collecting and segmenting this amount of data from a speaker is difficult, so a more practical solution is ...