In this paper, a numerical method for solving the constrained optimal control of time-varying singular systems with quadratic performance index is presented. Presented method is based on Bernste in polynomials. Operational matrices of integration, differentiation and product are introduced and utilized to reduce the optimal control of time-varying singular problems to the solution of algebraic ...

Optimal multirate control of the networked control systems is investigated in this paper. Under p – to – wσ communication sequence that sensors access communication medium and m – to – wρ communication sequence that actuators access communication medium, the plant of networked control system acts as a linear periodic time-varying system. Using lifting technology, a linear periodic time-varying ...

We investigate an iterative method for the solution of time-periodic parabolic PDE constrained optimization problems. It is an inexact Sequential Quadratic Programming (iSQP) method based on the Newton-Picard approach. We present and analyze a linear quadratic model problem and prove optimal mesh-independent convergence rates. Additionally, we propose a two-grid variant of the Newton-Picard met...

In this paper an approach based on evolutionary algorithms to find Pareto optimal pair of state and control for multi-objective optimal control problems (MOOCP)'s is introduced‎. ‎In this approach‎, ‎first a discretized form of the time-control space is considered and then‎, ‎a piecewise linear control and a piecewise linear trajectory are obtained from the discretized time-control space using ...

The existing theory of linear-quadratic problems has been successfully applied to the design of many industrial and military control systems (see, e.g., Athans, 1971). A stochastic version of this problem plays today an important role in macroeconomics, where the so-called linear-quadratic economies are considered (see, e.g., Ljungqvist and Sargent, 2004; Sent, 1998). These (dynamic stochastic)...

A very significant result in modern control theory is that, for a linear. finite-dimensional, dynamical system. the state feedback law derived from a quadratic-loss-function niinimisation problem is linear. The paper applies the results of this optimal control theory to a class of problems in which the feedback law is realised by a linear dynamical system. The quadratic loss function of interes...

We study a class of time-domain decomposition-based methods for the numerical solution of large-scale linear quadratic optimal control problems. Our methods are based on a multiple shooting reformulation of the linear quadratic optimal control problem as a discrete-time optimal control (DTOC) problem. The optimality conditions for this DTOC problem lead to a linear block tridiagonal system. The...

semi-active base isolation system has been proposed mainly to mitigate the base drift of isolated structures while in most cases, its application causes the maximum acceleration of superstructure to be increased. in this paper, designing optimal semi-active base isolation system composed of linear base isolation system with low damping and magneto-rheological (mr) damper has been studied for co...

Communication and control co-design for networked control system in optimal control in the paper. Under p – to – wσ communication sequence which sensors access communication medium and m – to – wρ communication sequence which actuators access communication medium, the plant of networked control system acts as a linear periodic time-varying system. Using lifting technology, a linear periodic tim...