The current paper proposes a technique for the numerical solution of linear control systems.The method is based on Galerkin method, which uses the interpolating scaling functions. For a highly accurate connection between functions and their derivatives, an operational matrix for the derivatives is established to reduce the problem to a set of algebraic equations. Several test problems are given...

Tunnelling through cities underlain by soft soil, commonly associated with soil movement around the tunnels and subsequent surface settlement. The predication of ground movement during the tunnelling and optimum support pressure could be based on analytical, empirical or the numerical methods. The commonly used Earth pressure balance (EPB) tunneling machines, uses the excavated soil in a pressu...

in this paper, solution of nonlinear optimal control problems and the controlled duffing oscillator, as a special class of optimal control problems, are considered and an efficient algorithm is proposed. this algorithm is based on state parametrization as a polynomial with unknown coefficients. by this method, the control and state variables can be approximated as a function of time. also, the ...

in this paper the control algorithm for controlled civil structures subjected to earthquake excitation is thoroughly investigated. the objective of this work is the control of structures by means of the pole placement algorithm, in order to improve their response against earthquake actions. successful application of the algorithm requires judicious placement of the closed-loop eigenvalues from ...

Improving contour accuracy is one of the significant goals industrial machining. This paper proposes a error estimation and compensation algorithm for five-axis computer numerical control (CNC) machine tools based on modified (NC) codes. The expected path analyzed by NC data actual trajectory collected sensors are spatially mapped hidden Markov model (HMM). Next, an evaluation function that hyb...

in this paper, we apply the  homotopy analysis method (ham) for solving fuzzy  linear systems and present  the necessary and sufficient conditions for the convergence of series solution obtained via the ham. also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the ham is applied to linear system of equations. comparisons are made between the ...