A numerical method is proposed for constructing an approximation of the Pareto front of nonconvex multi-objective optimal control problems. First, a suitable scalarization technique is employed for the multi-objective optimal control problem. Then by using a grid of scalarization parameter values, i.e., a grid of weights, a sequence of single-objective optimal control problems are solved to obt...

In this paper optimal controller design which address the concerns of the 312 and the k ' , norms is studied. In the first problem a positive combination of the 312 and the t, norms of the closed loop is minimized. In the second the t 1 norm of a transfer function is minimized while restraining the another below a prespecified level. Converging upper and lower bounds are obtained. Relation to t...

optimal reactive power dispatch (orpd) is a multi-variable problem with nonlinear constraints and continuous/discrete decision variables. due to the stochastic behavior of loads, the orpd requires a probabilistic mathematical model. in this paper, monte carlo simulation (mcs) is used for modeling of load uncertainties in the orpd problem. the problem is formulated as a nonlinear constrained mul...

compared to conventional chlorination methods which apply chlorine at water treatment plant, booster chlorination has almost solved the problems of high dosages of chlorine residuals near water sources and lack of chlorine residuals in the remote points of a water distribution system (wds). however, control of trihalomethane (thm) formation as a potentially carcinogenic disinfection by-product ...

this paper presents a multi-objective formulation for optimal siting and sizing of distributed generation (dg) resources in distribution systems in order to minimize the cost of power losses and energy not supplied. the implemented technique is based on a genetic algorithm (ga) and weight method that employed to obtain the best compromise between these costs. simulation results on 33-bus distri...