We propose a new framework to design controllers for high-dimensional nonlinear systems. The control is designed through the iterative linear quadratic regulator (ILQR), an algorithm that computes by iteratively applying on local linearization of system at each time step. Since ILQR computationally expensive, we first construct reduced-order models (ROMs) system. derive ROMs via projection, whe...

In this paper, a wavelet packet decomposition (WPD) based real-time transcale linearquadratic-Gaussian (LQG) tracking control algorithm is given for a class of discrete stochastic systems, which is developed with the state-space models of wavelet packet coefficients at the coarsest scale decomposition layer established by Haar WPD. The WPD-based transcale control algorithm provides a compromise...

The discrete-time optimal projection equations, which constitute necessary conditions for optimal reducedorder LQG compensation, are strengthened. For the class of minimal stabilizing compensators the strengthened discrete-time optimal projection equations are proved to be equivalent tofirst-order necessary optimality conditionsfor optimal reduced-order LQG compensation. The conventional discre...

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...

This paper addresses the problem of congestion control for transmission control protocol (TCP) traffic in the Internet. The method proposed builds on the ideas of TCP Vegas, a true feedback control approach to congestion management of TCP traffic. The new method is based on an adaptive linear quadratic Gaussian (LQG) formulation which uses an extended least squares system identification algorit...

BACKGROUND We investigated the applicability of linear quadratic Gaussian (LQG) methodology to the subcutaneous blood glucose regulation problem. We designed an LQG-based feedback control algorithm using linearization of a previously published metabolic model of type 1 diabetes. A key feature of the controller is a Kalman filter used to estimate metabolic states of the patient based on continuo...

In this paper, the numerical algorithm for solving the state and output feedback H∞-constrained LQG control problem is investigated. Although the equations that have to be solved to design the controller consist of the nonlinear crosscoupled algebraic Riccati equations (CAREs), it is newly proven that both the uniqueness and the positive semidefiniteness of the iterative solutions can be guaran...

With a semiclassical polymerization in the loop quantum gravity (LQG), interior of Schwarzschild black holes provides captivating single-horizon regular hole spacetime. The shortage rotating models (LQG) substantially restrains progress testing LQG from observations. Motivated by this, starting with spherical as seed metric, we construct spacetime using revised Newman-Janis algorithm, namely, L...

The lack of rotating black hole models, which are typically found in nature, loop quantum gravity (LQG) substantially hinders the progress testing LQG from observations. Starting with a nonrotating as seed metric, we construct spacetime using revised Newman-Janis algorithm. solution is nonsingular everywhere and it reduces to Kerr asymptotically. In different regions parameter space, describes ...

To date, a mathematically consistent construction of effective rotating black hole models in the context Loop Quantum Gravity (LQG) is still lacking. In this work, we start with assumption that LQG metrics can be effectively obtained using Newman–Janis Algorithm. Then, based on few extra fair assumptions seed metric functions, make conjecture what would generically look like. Our general argume...