The Linear-Quadratic Control Problem for Retarded Systems with Delays in Control and Observation

Linear Quadratic Optimal Control of Linear Time Invariant Systems with Delays in State, Control, and Observation Variables

The paper deals with the problem of linear quadratic optimal control associated to a coupled mathematical system wich provides a good model for an important families of linear time-invariant hereditary systems. The HUM approach based on the construction of an appropriate hilbert space and the inversion of an isomorphism is used and the optimal control is characterized by the resolution of some ...

Linear quadratic suboptimal control for time delays systems

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...

Finding the Best Coefficients in the Objective Function of a Linear Quadratic Control Problem

Finding the best weights of the state variables and the control variables in the objective function of a linear-quadratic control problem is considered. The weights of these variables are considered as two diagonal matrices with appropriate size and so the objective function of the control problem becomes a function of the diagonal elements of these matrices. The optimization problem which is d...

Control Problem for Decentralized Systems with Delays

This paper gives a new solution to the output feedback H2 problem for communication delay patterns specified by a strongly connected graph. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized H2 problem is cast as a convex model matching problem. The main result shows that the model matching problem can be reduced to a finite-dimensi...