We study the evolution of a test scalar field on background geometry regular loop quantum black hole (LQBH) characterized by two gravity (LQG) correction parameters, namely, polymeric function and minimum area gap. The calculations quasinormal frequencies in asymptotically flat spacetime are performed with help higher-order WKB expansion related Pad\'{e} approximants, improved asymptotic iterat...

This paper shows that H 2 (LQG) performance speciications can be combined with struc-tured uncertainty in the system, yielding robustness analysis conditions of the same nature and computational complexity as the corresponding conditions for H 1 performance. These conditions are convex feasibility tests in terms of Linear Matrix Inequalities, and can be proven to be necessary and suucient under...

Abstmct-Researchers in digital signal processing have examined at length the effects of finite wordlength in the design of digital filters. The issues that have been considered apply to any digital system. In particular, the design of digital control systems must consider these issues. In this paper we will use, adapt, and extend the ideas developed in digital signal processing to the issue of ...

This paper addresses the LQG control problem for unmanned aerial vehicles (UAV) with time delays. In particular, the case with data-rate limitations is considered. It is shown in our results that the data rate of the communication channel has important effects on the control performances. It is derived that there exists a tradeoff between the data rate and the LQG cost. A quantization, coding, ...

Sensitivity properties of the Davison type integral controllers for time-delay plants are discussed on the assumption that the observer gain matrix is fixes and the cheap control is used to determine the feedback gain matrix. It is shown that the Davison type integral controller can be expressed as a limit of the standard predictor-based LQG controller. The explicit representation of the asympt...

Proceedings of the 1997 ASCE Structures Congress, Portland, Oregon, April 13-16, 1997. In this paper, both the methods of continuous sliding mode control (CSMC) and continuous sliding mode control with a compensator (CSMC&C) are applied to a benchmark problem; namely, an active mass driver system. For these control strategies, salient features of the controller design and their merit are descri...

We present a computational approach for the construction of reducedorder controllers for the Timoshenko beam model. By means of a space discretization of the Timoshenko equations, we obtain a large-scale, finite-dimensional dynamical system, for which we compute an LQG controller for closed-loop stabilization. The solutions of the algebraic Riccati equations characterizing the LQG controller ar...

The objective of this paper is to mitigate the wave-induced vibration of offshore platform with magneto-rheological (MR) damper. The model of the platform coupled with MR damper is established where the external wave force is approximated with a white noise via a designed filter. Based on Linear Quadratic Gaussian (LQG) method, the optimal control force is determined when taking the measurement...

We investigate a linear-quadratic-Gaussian (LQG) control and sensing codesign problem, where one jointly designs policies. focus on the realistic case design is selected among finite set of available sensors, each sensor associated with different cost (e.g., power consumption). consider two dual problem instances: sensing-constrained LQG control, maximizes performance subject to budget, minimum...

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...