<p style='text-indent:20px;'>The present document outlines a non-linear control theory, based on the PID regulation scheme, to synchronize two second-order dynamical systems insisting Riemannian manifold. The devised extended referred as M-PID, includes an unconventional component, termed 'canceling component', whose purpose is cancel natural dynamics of system and replace it with desired...

To investigate the association between pelvic inflammatory disease (PID) and endometrial cancer (EC).We conducted a nationwide population-based retrospective cohort study, and data were obtained from the National Health Insurance Research Database. We defined 41,065 patients with PID as the PID cohort and 82,130 randomly selected patients as the control cohort through frequency matching by age ...

Control methodologies could achieve better comfort conditions of heating, ventilating and air conditioning (HVAC) systems, however, the application of classical controllers is unsatisfactory as HVAC systems are non-linear and the control variables such as temperature and relative humidity (RH) inside the thermal zone are coupled. The objective of this study is to implement and simulate adaptive...

PI and PID controllers continue to be popular methods in industrial applications. It is well known that linear PI and PID controllers result from the application of modelbased controller design methods to linear firstand second-order systems. It is shown that nonlinear PI and PID controllers result from the application of nonlinear controller design methods to nonlinear firstand second-order sy...

In this note we address the problem of set-point control of robot manipulators with uncertain gravity knowledge by combining several previous contributions to PID control. The main contribution is a linear PID controller which ensures global asymptotic stability of the closed loop. The key feature of the controller is that the integration is started after a short transient. In the case of unmea...

In this paper, a new nonlinear discrete-time PID is proposed to control Hammerstein model. This model is composed by a static nonlinearity gain associated to a linear dynamic subsystem. Nonlinear polynomial structures are used to identify and to control this class of systems. The determination of parameters is based on the use of RLS algorithm. A coupled two-tank process is given to illustrate ...

A nonlinear PID (NPID) controller for a class of linear plants with output feedback is studied. The controller gains are modulated by the control error and error rate to yield a closed-loop system for improved disturbance rejection. An optimization problem involving constraints written as linear matrix inequalities (LMIs) is solved to compute the controller parameters. A hard disk drive (HDD) c...