According to nonlinear operation of STATCOM, nonlinear controller has a better performance in comparison with linear controller. Regulating the DC capacitor voltage in STATCOM is a common task and can improve the system dynamic. The nonlinear control is based on exact linearization via feedback. A PI controller exists in this control system to regulate the capacitor voltage. In conventional sch...

This paper addresses the problem of stabilization non-minimum phase switched nonlinear systems where internal dynamics with symmetries or non-symmetries each mode may be unstable. The authors initially build a stabilizing Lyapunov controller for in order to stabilize its own unstable dynamics. proposed approach is based on exact input-output feedback linearization technique and stability theory...

This paper studies polyhedral methods for the quadratic assignment problem. Bounds on the objective value are obtained using mixed 0–1 linear representations that result from a reformulation–linearization technique (rlt). The rlt provides different “levels” of representations that give increasing strength. Prior studies have shown that even the weakest level-1 form yields very tight bounds, whi...

Accurate solutions of the porous media equation that usually occurs in nonlinear problems of heat and mass transfer and in biological systems are obtained using a compact finite difference method in space and a low-storage total variation diminishing third-order Runge-Kutta scheme in time. In the calculation of the numerical derivatives, only a tridiagonal band matrix algorithm is encountered. ...

Non-linear controller is preferred to linear controller due to non-linear operation of DSTATCOM. System dynamic can be improved by regulating and fixing the capacitor DC voltage in DSTATCOM. The nonlinear control is based on exact linearization via feedback. There is a PI controller in this system to regulate DC voltage. In conventional scheme, the trial and error method is used to determine PI...

In this paper, an optimM trajectory planning problem for a single-link t_exiblejoint manipulator is studied. A global feedback-linearization technique is first applied to formulate the nonlinear inequality-constrained optimization problem in a suitable way. Then, an exact and explicit structural formu/a for the optimal solution of the problem is derived and the solution is shown to be unique. I...

In this paper, we characterize a class of feasible direction methods in nonlinear programming through the concept of partial linearization of the objective function. Based on a feasible point, the objective is replaced by an arbitrary convex and continuously diierentiable function, and the error is taken into account by a rst order approximation of it. A new feasible point is deened through a l...

This paper proposes a multi-objective optimization model (P1) that determines the optimal selection of parallel units considering the trade-off between the availability of a serial producing system and total investment costs. Model (P1) is solved through the constrained MINLP model (P1’) that maximizes system availability subject to a series of upper bounds of the total cost, which yields a set...

This paper aims to further improve previously developed design for Acrobot walking based on partial exact feedback linearization of order 3. Namely, such an exact system transformation leads to an almost linear system where error dynamics along trajectory to be tracked is a 4-dimensional linear time-varying system having 3 time-varying entries only, the remaining entries being either zero or on...

In dealing with parametric nonlinear mixed effects models, intensive numerical integration often makes exact maximum likelihood estimation impractical given the current computing capacity. Algorithms based on linearization, such as the first order method and the conditional first order method, have the potential of producing highly inconsistent estimates, although numerically they are more effi...