Stochastic linear quadratic control problem of switching systems with constraints

Stochastic linear quadratic control problem of switching systems with constraints

Linear Quadratic Optimal Control Problem of Stochastic Switching Systems

Switched systems have numerous applications in control of real systems as mechanical systems, automotive industry, aircraft and air traffic control, switching power converters, and many other fields. Optimal control problems of switching systems require the decision of both the optimal solutions and switching sequences. The stochastic optimal control problem of linear switching systems with qua...

Stochastic singular optimal control problem of switching systems with constraints

*Correspondence: [email protected] Department of Industrial Engineering, Anadolu University, Eskisehir, Turkey Institute of Control Systems, ANAS, Baku, Azerbaijan Abstract This paper is devoted to the optimal control problem of switching system in which constraints on the state variable are given by inclusions. Using Ekeland’s variational principle, second-order necessary condition of ...

Numerical method for solving optimal control problem of the linear differential systems with inequality constraints

In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is nvestigated and it is proved that the orde...

Robust Linear Quadratic Control of Systems with Integral Quadratic Constraints

In this paper, we consider the robust linear quadratic (LQ) control problem for a class of uncertain linear systems which are subject to a general type of integral quadratic constraints (IQCs). Both analysis and synthesis problems are considered in this paper. For the analysis problem, we determine if the system satisses a desired linear quadratic performance index for all admissible uncertaint...