Abstract

Abstract

Abstract
Pressurised networks are widely used to transport gas through extensive distances. To secure the gas transport at safety levels and also economic viability, the networks are thoroughly monitored. Paramount to network control and analysis is the modelling of the gas dynamics in the pipelines and its consequent simulation. In this work, the pipeline is represented by a quasi-hyperbolic PDE, whose exact solution is not easy to withdraw, and in alternative we opt for an approximation. The construction of the initial function, very important to obtain a good approximation, is done using a separation of variables. Special relevance is given to issues as consistency, stability and convergence in order to evaluate a class of FD methods for the solution of gas network models, in particular the quasi-hyperbolic equation. Horizontal pipelines are considered as well as some particular centred schema for an inclined pipeline.

Abstract
In this paper, the gas dynamics within the pipelines is written as a wave repetitive process, and modified in a way that the dynamics is driven by the boundary conditions. We study controllability of the system through boundary control and every agent, as well as observability of the system being steered by initial and boundary data. Next, we obtain sufficient criteria for the existence and uniqueness of boundary equilibrium controls. From the point of view of some applications, e.g. in high pressure gas pipeline management, it seems to make sense to consider boundary data controls. The same problem is then extended to its infinite counterpart since it may run infinitely and, in this case, we become interested in studying its stabilisation.

Abstract

Abstract
This article revisits the inverted pendulum-in particular, analyses a simplified model of a Segway, with a view to exploring its capabilities in Control Systems Engineering education. The integration between the theoretic and practical side is achieved through simulation, and in particular by using MathWorks software. We also present a structure for the work to be done in the Laboratory class and propose a solution for the problem. © 2018 IEEE.