We derive the distribution of the center of mass S of the integrated superBrownian excursion (ISE) from the asymptotic distribution of the Wiener index for simple trees. Equivalently, this is the distribution of the integral of a Brownian snake. A recursion formula for the moments and asymptotics for moments and tail probabilities are derived.

This paper focuses on expanding and evaluating an automatic generation control (AGC) system of a hydrothermal system by modelling the appropriate generation rate constraints to operate practically in an economic manner. The hydro area is considered with an electric governor and the thermal area is modelled with a reheat turbine. Furthermore, the integral controllers and electri...

This paper describes the dynamic performance of two area interconnected hydro-hydro power systems when subjected to 1% step load perturbation. For this present study, the system is incorporated with conventional Proportional-Integral (PI) controller and Fuzzy Logic Controller (FLC). The dc link is used as system interconnection in parallel with ac tie-lines. The dc link is considered to be oper...

In this paper various methods for the designing of centralized PI controller for desalination system and distillation columns given in the literatures are discussed. Various tuning methods given by Davison and Maciejowski are used. The performance of the closed loop system servo responses are compared of terms of ISE. The better controller tuning method is chosen by means of least ISE value. IN...

In this work, Particle Swarm Optimization (PSO) based intelligent controller design technique is attempted for a nonlinear spherical tank process. The search process is guided by an objective function, which considers the minimization of some key parameters such as Integral Square Error (ISE), Integral Absolute Error (IAE), and settling time (ts) of the process under study. The proposed control...

In this chapter, a proportional-integral derivative (PID)-type fuzzy logic controller (FLC) is proposed for a discrete-time system in order to track a desired trajectory generated using the flatness property. In order to improve the performance of the proposed controller, genetic algorithm (GA) based on minimizing the integral of the squared error (ISE) is used for tuning the input and output P...