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Nonlinear hysteretic phenomena occur in many physical systems, such as electronic throttle and solenoid valves in automobiles, piezoelectric sensors, and many other mechanical actuators. In order to handle the nonlinear properties of hysteretic systems, an indirect adaptive fuzzy controller (IAFC) is proposed in this paper. However, it is a hard task to directly identify unknown hysteretic effects...
We develop a finite volume method on a geometrically refined mesh to effectively treat the boundary layer singularity of the solutions to the boundary value problem of fractional differential equations. We further exploit the structure of the stiffness matrix to develop a properly modified fast conjugate gradient method for the efficient solution of the linear algebraic system. The fast method has...
The problem of joint input and state estimation is discussed in this paper for linear discrete-time stochastic systems. By minimizing an objective function of weighted least squares estimation with respect to the states and unknown inputs, a recursive filter approach referred to as General Kalman filter with unknown inputs (GKF-UI) is obtained. It is shown that the proposed GKF-UI approach covers...
By representing nonlinear systems as a combination of linear part and unmodeled dynamics, in this paper, an improved estimation algorithm using an adaptive neuro-fuzzy inference system (ANFIS) for unmodeled dynamics is presented. At first, the unmodeled dynamics is divided into two parts using the differential expansion of the control input at the last time instant; then, the two parts are estimated...
A new approach of fault detection and diagnosis (FDD) for general stochastic systems in discrete-time is studied. Our work on this problem is motivated by the fact that most of the nonlinear control laws are implemented as digital controllers in reality. Different from the formulation of classical FDD problem, it is supposed that the measured information for the FDD is the probability density functions...
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