It is shown that the LQG optimal controller is a continuous function of the plant. The result is proved for a class of plants which contains the class of strictly proper nite-dimensional plants. The topology employed is the one generated by convergence of the closed loop transfer functions in an induced L 1 sense. This topology is slightly stronger than the usual (H 2) gap metric convergence on...

In this paper we study the stochastic optimal (LQG) tracking problems with preview for a class of linear continuous-time Markovian jump systems. The systems are described as continuous-time switching systems with Markovian mode transitions. Necessary and sufficient conditions for the solvability of our LQG tracking problems are given by coupled Riccati differential equations and coupled scalar ...

We apply retrospective cost adaptive control (RCAC) to a broadband disturbance rejection problem under limited modeling information and assuming that the performance variable is measured. The goal is to compare the asymptotic performance (that is, after convergence of the controller) of the adaptive controller with the performance of discrete-time LQG controller, which uses complete modeling in...

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...