Game theory deals with decision-making processes involving two or more parties with partly or completely conflicting interests. The players involved in the game usually make their decisions under conditions of risk or...
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A game is a decision-making situation in which each player attempts to act in such a way that the game's circumstances get close to what desirable for him. To reach this goal, a player needs to have a suitable est...
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in this paper, robust regulation of a class of nonlinear singularly perturbed systems, via nonlinear H∞ approach is considered. Under appropriate assumptions, it is shown through two new theorems that the existence o...
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The residual error in the WAAS solution contains low frequency elements that reduce the accuracy of the vertical navigation during flight tests of precision approaches conducted at The University of Oklahoma. In an ef...
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The residual error in the WAAS solution contains low frequency elements that reduce the accuracy of the vertical navigation during flight tests of precision approaches conducted at The University of Oklahoma. In an effort to determine if the WAAS-enabled GPS solution can be improved, the character of the errors was first determined. Static position error data from ten, geographically diverse, WAAS reference stations were initially collected continuously over the period of a month. A primary step in identifying the sources of error was to evaluate the spectral (periodic) content of the error signal. However, characterizing the spectral content of the error signal presents problems due to the extremely high sampling rate relative to the extremely slow periods of interest in the error signal. The WAAS signal was sampled at 1 Hz, yet the periods of interest are on the order of 10-5 Hz. Using our proposed method for extracting the near DC frequency content, it is shown that the WAAS residual error primarily contains periodic elements on the order of 6, 12, and 24 hours, which correspond to frequencies of approximately 4.6x10-5, 2.3x10-5, and 1.2x10-5 Hz, respectively. These results were consistent across the disparate geographic regions represented by the data set. Due to this, we think it unlikely that multi-path is responsible for these slow, periodic components in the residual error signal. Therefore, it is likely the periodic elements of the error signal are due primarily to the ionosphere.
Quantitative design of robust control systems proposes a transparent and practical controller design methodology for uncertain plants. In the case of large plant uncertainties, the resulted robust controller would be ...
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Different from most power systems, the requirement for reliability of the power system on board a spacecraft is much more stringent. However, the reliability of the spacecraft power system can not be solely realized b...
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This paper proposes a reconfigurable controller design method for multivariable systems, which is capable of dealing with order-change problems that may occurs in an after-fault system. A new method is proposed to rec...
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This paper proposes a reconfigurable control system design methodology using the sliding-mode control. The advantage of the proposed sliding-mode reconfigurable control methodology is that it is more robust than the s...
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We state results on the existence of smooth Lyapunov functions for hybrid systems whose solutions satisfy a class-KLL estimate with respect to two measures. The class-KLL estimate, a natural extension of class-KL esti...
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We state results on the existence of smooth Lyapunov functions for hybrid systems whose solutions satisfy a class-KLL estimate with respect to two measures. The class-KLL estimate, a natural extension of class-KL estimate, is in terms of the elapsed time and the number of jumps that have occurred. The main result is that a smooth Lyapunov function exists if and only if the class-KLL estimate is robust. In turn, sufficient conditions for robustness are given. Special cases include systems with compact attractors. Most of the results parallel, and unify, what has been developed previously for differential inclusions and difference inclusions.
Motivated by questions in stability theory for hybrid dynamical systems, we establish some fundamental properties of the set of solutions to such systems. Using the notion of a hybrid time domain and general results o...
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Motivated by questions in stability theory for hybrid dynamical systems, we establish some fundamental properties of the set of solutions to such systems. Using the notion of a hybrid time domain and general results on set and graphical convergence, we establish under weak regularity and local boundedness assumptions that the set of solutions is sequentially compact and "upper semicontinuous" with respect to initial conditions and system perturbations. The latter means that each solution to the system under perturbations is close to some solution of the unperturbed system on a compact hybrid time domain. The general facts are then used to establish several results for the behavior of hybrid systems that have asymptotically stable compact sets. For example, it is shown that the basin of attraction for a compact attractor is (relatively) open, the attractivity is uniform from compact subsets of the basin of attraction, and asymptotic stability is robust with respect to small perturbations.
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