The controller development and the tracking performance evaluation for the DSS-13 antenna are presented. A trajectory preprocessor, linear quadratic Gaussian (LQG) controller, feedforward controller, and their combination were designed, built, analyzed, and tested. The antenna exhibits nonlinear behavior when the input to the antenna and/or the derivative of this input exceeds the imposed limit...

We define a modification of loop quantum gravity (LQG) in which graphs are required to consist of piecewise linear edges, which we call piecewise linear LQG (plLQG). At the diffeomorphism-invariant level, we prove that plLQG is equivalent to standard LQG, as long as one chooses the class of diffeomorphisms appropriately. That is, we exhibit a unitary map between the diffeomorphism-invariant Hil...

The paper deals with new interpretation of LQG optimality. Known description of LQG optimality is abstract and that is why it is not popular for usage in applications. Presented interpretation is based on familiar terms of the control theory and it is shown that LQG optimality can be interpreted in deterministic point of view.

Loop Quantum Cosmology (LQC), mainly due to Bojowald, is not the cosmological sector of Loop Quantum Gravity (LQG). Rather, LQC consists of a truncation of the phase space of classical General Relativity to spatially homogeneous situations which is then quantized by the methods of LQG. Thus, LQC is a quantum mechanical toy model (finite number of degrees of freedom) for LQG (a genuine QFT with ...

In this paper we study the existence of linear quadratic Gaussian (LQG)-balanced realizations for continuous-time infinite-dimensional systems. LQG-balanced realizations are those for which the optimal cost operator for the system and its dual system are equal (and diagonal). The class of systems we consider is that of distributional resolvent linear systems which includes well-posed linear sys...

A LQG control design technique for LPV systems using single Lyapunov function is improved by searching for a parameter-dependent Lyapunov function in order to enhance the LQG performance of the control. Such a design technique has not been developed in the LQG framework so far (in the authors knowledge), albeit its adaptability to performance degradation on the parameter region enlarges the cla...

This Letter aims at showing that the observation of evaporating black holes should allow the usual Hawking behavior to be distinguished from loop quantum gravity (LQG) expectations. We present a full Monte Carlo simulation of the evaporation in LQG and statistical tests that discriminate between competing models. We conclude that contrarily to what was commonly thought, the discreteness of the ...

The objective of an economic performance assessment strategy is to quantitatively measure the effectiveness of a process in an economic framework. Such procedures typically involve the comparison of current operation with an appropriate benchmark to determine potential improvement through improved process control. In this work, a linear quadratic Gaussian (LQG) controller is used as a benchmark...