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Accurate trajectory prediction plays a fundamental role in advanced air traffic control operations, because it forms the basis for (among others) conflict detection and resolution schemes. It has been demonstrated that improved trajectory prediction accura ...
American Institute of Aeronautics and Astronautics2010
We consider a reach–avoid specification for a stochastic hybrid dynamical system defined as reaching a goal set at some finite time, while avoiding an unsafe set at all previous times. In contrast with earlier works which consider the target and avoid sets ...
In this chapter an algorithm for nonlinear explicit model predictive control is presented. A low complexity receding horizon control law is obtained by approximating the optimal control law using multiscale basis function approximation. Simultaneously, fea ...
We present a dynamic programming based solution to a stochastic reachability problem for a controlled discrete-time stochastic hybrid system. A sum-multiplicative cost function is introduced along with a corresponding dynamic recursion which quantifies the ...
The problem of aircraft trajectory planning is formulated as a hybrid optimal control problem. The aircraft is modeled as a switched system, that is, a class of hybrid dynamical systems. The sequence of modes, the switching times, and the inputs for each m ...
In this paper an algorithm for nonlinear explicit model predictive control is introduced based on multiresolution function approximation that returns a low complexity approximate receding horizon control law built on a hierarchy of second order interpolets ...
In this paper, an algorithm is introduced based on classical wavelet multiresolution analysis that returns a low complexity explicit model predictive control law built on a hierarchy of second order interpolating wavelets. It is proven that the resulting i ...