Nonlinear Robust Regulation Using the Satisscing Paradigm
نویسندگان
چکیده
In this paper we use the recently introduced concept of satisscing decision theory to develop robustly stabilizing state-feedback control strategies for nonlinear systems subject to unknown disturbances. The result is a point-wise \robust satisscing" set of control options from which a continuous feedback strategy can be selected. We show that the set of continuous \ro-bust satisscing" control strategies can be parameter-ized by two continuous functions that are bounded by unity. In addition, we show that every robust satis-cing control also deenes a universal formula in the sense deened by Sontag.
منابع مشابه
Satisscing Games
Optimization is a mathematical sophistication of the common sense view that decision makers ought to do the best they can, and leads to well known solution concepts for mathematical games. For multi-agent systems in naturalistic settings, however, uncertainty and complexity may subordinate optimal performance to the more moderate goals of functionality and robustness. Moderation is another comm...
متن کاملA Theory of Satis cing Control A
The existence of an optimal control policy and the techniques for nding it are grounded fundamentally in a superlative perspective. These techniques can be of limited value when the global behavior of the system is diicult to characterize , as it may be when the system is nonlinear, when the input is constrained, or when only partial information is available regarding system dynamics or the env...
متن کاملHybrid Adaptive Neural Network AUV controller design with Sliding Mode Robust Term
This work addresses an autonomous underwater vehicle (AUV) for applying nonlinear control which is capable of disturbance rejection via intelligent estimation of uncertainties. Adaptive radial basis function neural network (RBF NN) controller is proposed to approximate unknown nonlinear dynamics. The problem of designing an adaptive RBF NN controller was augmented with sliding mode robust term ...
متن کاملFractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control
In this paper, based on a fractional order Bergman minimal model, a robust strategy for regulationof blood glucose in type 1 diabetic patients is presented. Glucose/insulin concentration in the patientbody is controlled through the injection under the patients skin by the pump. Many various con-trollers for this system have been proposed in the literature. However, most of the...
متن کاملDefinition of General Operator Space and The s-gap Metric for Measuring Robust Stability of Control Systems with Nonlinear Dynamics
In the recent decades, metrics have been introduced as mathematical tools to determine the robust stability of the closed loop control systems. However, the metrics drawback is their limited applications in the closed loop control systems with nonlinear dynamics. As a solution in the literature, applying the metric theories to the linearized models is suggested. In this paper, we show that usin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007