In this paper, a numerical approach for the fractional order proportional-integral-derivative controller (FO-PID) design for the unstable first order time delay system is proposed. The controller design is based on the system time delay. In order to obtain the relation between the controller parameters and the time delay, for several amounts of the plant time delay and the fractional derivative...

Even though employed widely in industrial practice, the popular proportional– integral–derivative (PID) controller has weaknesses that limit its achievable performance. In this paper, an alternative control scheme that combines the simplicity of the PID controller with the versatility of model predictive control is presented. The result is a controller that combines the time-delay compensation ...

The paper shows that the digital proportional-integral-plus (PIP) controller formulated within the context of non-minimum state space (NMSS) control system design methodology is directly equivalent, under certain non-restrictive pole assignment conditions, to the equivalent digital Smith predictor (SP) control system for time delay systems. This allows SP controllers to be considered within the...

In this paper, we apply an anti-windup scheme for improving the performance of a conventional ProportionalIntegral (PI) controller for Active Queue Management (AQM) supporting TCP flows. When a PI controller is used for AQM, the “windup” phenomenon of the integral action can cause performance degradation because the packet drop probability is limited between 0 and 1. Therefore we model TCP/AQM ...

In this article, we present a new control theoretic distributed time synchronization algorithm, named PISync, in order to synchronize sensor nodes in Wireless Sensor Networks (WSNs). PISync algorithm is based on a Proportional-Integral (PI) controller. It applies a proportional feedback (P) and an integral feedback (I) on the local measured synchronization errors to compensate the differences b...

School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA. Graduate School of Informatics, Kyoto University, Kyoto 6068501, Japan. Abstract In this paper we explore the relationship between dual decomposition and the consensus-based method for distributed optimization. The relationship is developed by examining the similarities between the two approa...

This paper considers the application of Proportional-Integral-Plus (PIP) control to the Lancaster University Computerised Intelligent Excavator (LUCIE), which is being developed to dig foundation trenches on a building site. Previous work using LUCIE was based on the ubiquitous PI/PID control algorithm, tuned on-line and implemented in a rather ad hoc manner. By contrast, the present research u...

Abstract This paper focuses on the asymptotic stability of proportional-integral AQM controllers supporting TCP flows. Necessary and sufficient conditions for the asymptotic stability of the closed-loop linearization are provided. As a result, the complete set of proportional-integral controllers that locally stabilizes the equilibrium point is obtained. The robustness of the controllers to unc...

In this article, we present a new control theoretic distributed time synchronization algorithm, named PISync, in order to synchronize sensor nodes in Wireless Sensor Networks (WSNs). PISync algorithm is based on a Proportional-Integral (PI) controller. It applies a proportional feedback (P) and an integral feedback (I) on the local measured synchronization errors to compensate the differences b...