%0 Journal Article %A Rahimov, Anar Beybala ogly %A Aida-zade, Kamil Rajab ogly %D 2010 %I Begell House %K relay control, piecewise constant control functions, constancy interval, optimization method %N 7 %P 54-64 %R 10.1615/JAutomatInfScien.v42.i7.40 %T Relay Control of Nonlinear System with Uncertain Values of Parameters %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,4113b4204909141f,18b7ac8a5ef25b15.html %V 42 %X Consideration is given to optimal control problems for objects described by systems of ordinary differential equations on the class of relay piecewise constant control functions with uncertain initial information on the parameters of initial conditions and on object parameters. In the problem piecewise constant values of the controls and what is the most important, the boundaries of constancy intervals of the controls are optimized. For the case when the number of constancy intervals of controls is given, the necessary optimality conditions and formulas for the gradient of the functional are obtained allowing the efficient first order optimization methods to be employed for numerical solution of the problem. For the case, when the number of constancy intervals is not given the optimization algorithm is suggested. %8 2010-08-11