in this study, mass, stiffness and damping matrices of the nosrat jacket; located in persian gulf; equipped with semi active tuned mass damper (satmd) system have been derived after modeling the structure in sacs software. owing to huge number of the degrees of freedom in the model, computation of on-line control of satmd was time consuming. for this purpose, the size of the model was reduced i...

In this work, we study a natural extension of the Linear Quadratic Regulator (LQR) on time scales. Here, we unify and extend the Linear Quadratic Tracker (LQT). We seek to find an affine optimal control that minimises a cost functional associated with a completely observable linear system. We then find an affine optimal control for the fixed final state case in terms of the current state. Final...

A linear-like discrete-time fuzzy controller was designed to control and stabilize a single-pool irrigation canal. Saint Venant equations for open-channel flow were linearized using the Taylor series and a finite-difference approximation of the original nonlinear partial differential equations. Using the linear optimal control theory, a traditional linear quadratic regulator (LQR) was first dev...

Abstract This paper investigates the duality between the estimation and linear quadratic tracking problem for time-delay systems. Based on the innovation analysis approach, the linear minimum mean square error estimators including filter and smoother are developed in terms of a forward partial difference Riccati equation. Then the linear quadratic tracking problem for time-delay systems is disc...

In this paper, the time-consistent solutions of a timeinconsistent discrete-time stochastic linear-quadratic optimal control are investigated. Different from the existing literature, the definiteness constraint is not posed on the state and the control weight matrices of the cost functional. Necessary and sufficient conditions are, respectively, obtained to the existence of the open-loop time-c...

This paper analyzes the performance of two parallel algorithms for solving the linear-quadratic optimal control problem arising in discrete-time periodic linear systems. The algorithms perform a sequence of orthogonal reordering transformations on formal matrix products associated with the periodic linear system, and then employs the so-called matrix disk function to solve the resulting discret...

In a past study the authors drew attention to the fact that time-varying discrete-time linear systems may be temporarily uncontrollable and unreconstructable and that this is vital knowledge for both control engineers and system scientists. Describing and detecting the temporal loss of controllability and reconstructability requires considering discrete-time systems with variable dimensions and...

In this paper problem of finite-time optimal state feedback control for a class of time-varying linear parameter-varying (LPV) systems with a known delay in the state vector under quadratic cost functional is investigated via a successive approximation algorithm. The method of successive approximation algorithm results an iterative scheme, which successively improves any initial control law ult...

The purpose of this paper is to investigate the role that the continuous-time generalised Riccati equation plays within the context of singular linear-quadratic optimal control. This equation has been defined following the analogy with the discrete-time generalised Riccati equation, but, differently from the discrete case, to date the importance of this equation in the context of optimal contro...

An uncertain control model with time-delay is investigated based on the concept of uncertain process. The value function of the model is infinite-dimensional in the state. Some conditions are presented to guarantee the model is equivalent to a finite-dimensional one. The latter is solved by the equation of optimality. Then the solution of an uncertain linear quadratic optimal control problem wi...