The problem of lateral motion stabilization is analytically solved for the fourth-order model of aircraft motion using the method of output signal control synthesis that is based on the control object decomposition. Numerical simulation data are presented.

We obtain and discuss new results related to control design for bilinear systems subjected to arbitrary bounded exogenous disturbances. A procedure for the construction of the stabilizability ellipsoid and the domain of stabilizability for bilinear control systems is proposed and its efficiency is proved. This problem is solved both in continuous and discrete time. The main tool is the linear matrix inequality technique. This simple yet general approach is of great potential and can be widely generalized; for instance, to various robust statements of the problem.

This article concerns the recovery of the operators by noisy information in the case that their norms are defined by integrals over infinite intervals. We study the conditions under which the dual extremal problem (often nonconvex) can be solved using the Lagrange function minimality condition.

In this work, an optimal control problem with state constraints of equality type is considered. Novelty of the problem formulation is justified. Under various regularity assumptions imposed on the optimal trajectory, a non-degenerate Pontryagin Maximum Principle is proven. As a consequence of the maximum principle, the Euler–Lagrange and Legendre conditions for a variational problem with equality and inequality state constraints are obtained. As an application, the equation of the geodesic curve for a complex domain is derived. In control theory, the Maximum Principle suggests the global maximum condition, also known as the Weierstrass–Pontryagin maximum condition, due to which the optimal control function, at each instant of time, turns out to be a solution to a global finite-dimensional optimization problem

Electromyography (EMG) signals have been extensively used as a control signal in robotics, rehabilitation and health care. Creating an prosthetic hand requires many steps, beginning with a way for the prosthesis to detect the EMG signal. Unfortunately, signal detection may cause some troubles. Among them there are sensor faults that may lead to serious distortion of the signal and malfunction of the prosthetic hand. This paper is devoted to the development of algorithmic software that allows to detect faults of EMG sensors of prosthetic hand. To solve the problem modules of fault detection and signal correction were developed. These modules not only carefully supervise records from individual EMG electrodes, but, if necessary, replace them in systems if one or more signals are violated. This approach is based on signal processing methods with low computational complexity, that allows to reduce hardware requirements.