Pengendali Lpv Polytopic Untuk Sistem Dengan Parameter Berubah-ubah

This paper proposes a polytopic LPV controller design for air craft lateral-directional dynamics. The state space matrices of the plant and the controller are represented by using polytopic linear parameter varying model. A controller synthesis is derived by an approach linear matrix inequalities evaluated at the 32 vertices of the polytopic model. From the simulation results, it can be show that a polytopic LPV controller can maintain the closed loop systems stability and performance

Desain Umpan Balik Keadaan Menggunakan Algoritma Particle Swarm Optimization Dan Differential Evolutionalgorithm Studi Kasus Gerak Lateral Pesawat F-16

The purpose of Linear Quadratic Regulator (LQR) optimal control system is to stabilize the system, so that the output of the system towards a steady state by minimizing the performance index. LQR-invinite horizon is a special case of LQR in thecontinuous time area where the terminal time of the performance index value for infinite time and infinite outputsystem is zero. Performance index will be affected by the weighting matrix. In this paper will be discussed about the application of Particle Swarm Optimization algorithm (PSO) and Differential Evolution Algorithm (DEA) to determine the state feedback of a closed loop system and weighting matrices in the LQR to minimize performance index. PSO algorithm is a computational algorithm inspired by social behavior of flocks of birds and fishes in searching of food. While the DEA is an optimization algorithm that is adopted from evolution and genetics of organisms. Simulations of the PSO algorithm will be compared with DEA. Based on case study, DEA is faster then PSO to get convergence to the optimum solution

Mathematical Modeling of worm infection on computer in a Network: Case study in the Computer Laboratory, Mathematics Department, Diponegoro University, Indonesia

Worm infection were an infection that attack a computer, it work by multiplied itself after got into a computer and made it over work and caused a computer to slowing down. Worm spreading infection describe by nonlinear mathematic model form with VEISV (Vulnerable, Exposed, Infected, Secured) as the model. Worm free equilibrium and endemic equilibrium were calculated to obtain the stability analysis, and numeric solution were performed using data from Computer Laboratory, Mathematics Department of Faculty of Sciences and Mathematics, Diponegoro University using Runge-Kutta fourth-order method. From the result of stability analysis we obtained that worm free equilibrium were not stable and endemic equilibrium were locally asymptotically stable, and from the result of numeric solution every class proportion from model were obtained

Penyelesaian Model Distribusi Suhu Bumi Di Sekitar Sumur Panas Bumi Dengan Metode Koefisien Tak Tentu

Mathematical model in this paper describes the formation temperature distribution related to the process of heat transfer in geothermal wellbore. The model of formation temperature is based on the single thermal conduction equation. The form of the model is ordinary differential equation. Further, we derived an analytical solution with the method of undetermined coeffisient. The simulation is done to determine the model's behavior based on the secondary data. Based on the simulation result is found that if the increasing depth hence the temperature increases