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Recently, Adaptive critic design (ACD) has been applied to controller design extensively. It is a powerful approach to cope with the model nonlinearity and uncertainties. Existing ACD-based controllers have been proven as uniformly ultimately bounded (UUB). However, UUB only makes the tracking error converge to a certain bounded region. Although we can minimize the bounded region by increasing the...
This paper is concerned with robust stabilization of an uncertain system over a rate-limited digital channel from the viewpoint of input-output stability. Because of the quantization in the communication channel, it is impossible to apply the traditional small gain theorem to establish robust stability of the feedback system. To overcome this difficulty, we introduce a new notion of small lscrinfin...
The purpose of this paper is to highlight the central role that the time asymmetry of stability plays in feedback control. We show that this provides a new perspective on the use of doubly-infinite or semi-infinite time axes for signal spaces in control theory. We then focus on the implication of this time asymmetry in modeling uncertainty, regulation and robust control. We point out that modeling...
In this paper, a nonlinear output feedback control mechanism is developed to address the attitude tracking problem of a rigid spacecraft system which contains uncertainty associated with dynamic model and is under the effect of external disturbance. The control strategy is based on limited assumption on the system dynamics. A set of filters are developed to compensate for the unmeasurable spacecraft's...
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