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This paper addresses stability guarantees for a switching system. For this work, a switching system consists of a collection of subsystems with known LTI models and a switching signal that determines which subsystem model governs the system's dynamics at any given time. The switching signal may be the result of an operator's choice or a reaction to external events. Previous work has shown that the...
This paper presents a simple nonlinear anti-windup strategy for use in conjunction with a novel type of adaptive robust controller. In the absence of saturation constraints, the adaptive robust controller can provide highly effective disturbance rejection, but this ability is gradually lost as the saturation level is increased. In order to improve the performance of the controller during saturated...
This paper addresses the question of guaranteeing stability for a switching system. For this work, a switching system consists of a collection of subsystems with known LTI models and a switching signal that determines which subsystem model governs the system's dynamics at any given time. The switching signal may be the result of an operator's choice or a reaction to external events. Previous work...
Recently, the authors have proposed a novel approach to Direction-Of-Arrival (DOA) estimation using the ℋ∞ criterion. This article examines the limits of performance of ℋ∞-based direction finding and arrives at a lower bound on the estimation error, analogous to the Cramer-Rao Bound (CRB). Furthermore, the analysis of the ℋ∞-based algorithm's prediction error using one of Akaike's information criteria...
This paper presents a real-time algorithm for estimating the cross-coupling coefficients in a fast-steering mirror that serves as the actuator for an optical beam stabilization system. The algorithm computes the cross-coupling coefficients estimates by comparing the measured beam position with the predicted beam position from the uncoupled system model. This algorithm provides a means for estimating...
This paper presents experimental verification for a Hf stabilizing controller for an optical beam subject to tonal disturbances. The proposed controller forces the power density at all disturbance frequencies below a prescribed level. Furthermore, the effect of significant input saturation on stability and performance is investigated.
This paper compares two methods for creating multi-switch bang-bang commands to produce rest-to-rest command inputs for a floating oscillator system. The proposed multi-switch, bang-bang commands (MSBB) have constant switching intervals and satisfy zero-vibration (at the end of the maneuver), maximum acceleration, and move distance constraints. The MSBB commands are compared to the Time-Optimal, Zero-Vibration...
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