The paper is devoted to the state estimation problems for control systems described by nonlinear differential equations with quadratic nonlinearity. The initial state is assumed to be unknown but bounded with given bounds. We present the ellipsoidal techniques which provide the ellipsoidal estimates of reachable sets of this nonlinear control problem. AMS Subject Classification: 93B03, 93C10, 9...

In this paper, we propose a first-order discrete model for random early detection (RED) with nonlinearity, focusing on the average queue size in router. The RED is representative router-based algorithm congestion control. Congestion avoided by discarding packets at using packet drop probability function and RED. Our proposed replaces linear of original nonlinear can continuously change nonlinea...

Testing of ADC differential nonlinearity by the histogram method requires a signal generator with extremely low distortion and high stability. In this paper, the new type of stimulus signal is proposed, which simplifies the task. The testing signal has an exponential form and can be generated simply by discharging the capacitor across the resistance. The resulting digital samples from the outpu...

In order to generate skilled and efficient actions, the motor system must find solutions to several problems inherent in sensorimotor control, including nonlinearity, nonstationarity, delays, redundancy, uncertainty, and noise. We review these problems and five computational mechanisms that the brain may use to limit their deleterious effects: optimal feedback control, impedance control, predic...

Abstract: This paper presents the backstepping nonlinear control applied to induction motor with on-line adaptation of rotor resistance using a backstepping observer type. This type of control proposed an analysis based primarily on the stability of the system from the Lyapunov theory. This approach takes into account the nonlinearity of the system when designing the control law. The effectiven...

The thermostat nonlinearity is the simplest form of history-dependent feedback control with a discontinuity. We consider here a class of distributed parameter control problems with feedback involving a thermostat whose time-dependent setting u() is now taken as a control to be optimized. Existence of an optimal control is shown rst for (known) input, and then considered for a formulation of the...

This paper addresses an approximation-based anti-windup (AW) control strategy for suppressing the windup effect caused by actuator saturation nonlinearity in proportional–integral–derivative (PID) controlled systems. The effect of actuator constraint is firstly regarded as a disturbance imported to the PID controller. The external disturbance can then be modeled by a linear differential equatio...

Fine attitude control and stabilization are key technologies required for modern flexible spacecraft, whose missions, such as stereoscopic mapping, require high pointing accuracy and stabilization. However, in the realistic environment, knowledge about system parameters such as inertia matrix and modal frequencies are usually not known, and various disturbances also occur. Therefore, disturbanc...