- Electrical and Electronic Engineering - Research Publications
Electrical and Electronic Engineering - Research Publications
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ItemNo Preview AvailableFeasibility detection for nested codesign of hypersonic vehiclesvan der Heide, C ; Cudmore, P ; Jahn, I ; Bone, V ; Dower, PM ; Manzie, C (IEEE, 2023)
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ItemNo Preview AvailableIncentivizing Local Controllability in Optimal Trajectory PlanningSkoraczynski, AZ ; Manzie, C ; Dower, PM (IEEE, 2023-01-01)
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ItemNo Preview AvailableMin-max and stat game representations for nonlinear optimal control problemsDower, PM ; McEneaney, WM ; Zheng, Y (IEEE, 2023-01-01)
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ItemNo Preview AvailableReachability of Linear Time-Invariant Systems via Ellipsoidal ApproximationsLiu, V ; Manzie, C ; Dower, PM (Elsevier BV, 2023-01-01)
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ItemNo Preview AvailableConstraint Handling of an Airbreathing Hypersonic Vehicle via Predictive Reference ManagementLiu, V ; Manzie, C ; Dower, PM (IEEE, 2022-01-01)In this paper we consider the problem of constraint handling for an airbreathing hypersonic vehicle (HSV) through a hierarchical control architecture. A reference manager is incorporated as an intermediate control loop whose role is to modify an offline generated reference trajectory, without knowledge of disturbances, to enforce state and input constraints. Compared with traditional constraint handling approaches in HSV literature, this proposed approach allows for the deployment of controllers that are not typically formulated to handle constraints. We provide a computation time and constraint management comparison between a scheme that directly utilizes the nonlinear vehicle model and one that performs online linearization of the model.
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ItemAveraging for nonlinear systems on Riemannian manifoldsTaringoo, F ; Nesic, D ; Tan, Y ; Dower, PM (IEEE, 2013)This paper provides a derivation of the averaging methods for nonlinear time-varying dynamical systems defined on Riemannian manifolds. We extend the results on ℝ n to Riemannian manifolds by employing the language of differential geometry.
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ItemExtremum seeking control for nonlinear systems on compact Riemannian manifoldsTaringoo, F ; Nesic, D ; Tan, Y ; DOWER, PM (IEEE Press, 2014)This paper formulates the extremum seeking control problem for nonlinear dynamical systems which evolve on Riemannian manifolds and presents stability results for a class of numerical algorithms defined in this context. The results are obtained based upon an extension of extremum seeking algorithms in Euclidean spaces and a generalization of Lyapunov stability theory for dynamical systems defined on Rimannian manifolds. We employ local properties of Lyapunov functions to extend the singular perturbation analysis on Riemannian manifolds. Consequently, the results of the singular perturbation on manifolds are used to obtain the convergence of extremum seeking algorithms for dynamical systems on Riemannian manifolds.
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ItemCoordination of blind agents on Lie groupsTaringoo, F ; Nesic, D ; DOWER, P ; Tan, Y (IEEE, 2015)This paper presents an algorithm for the synchronization of blind agents evolving on a connected Lie group. We employ the method of extremum seeking control for nonlinear dynamical systems defined on connected Riemannian manifolds to achieve the synchronization among the agents. This approach is independent of the underlying graph of the system and each agent updates its position on the connected Lie group by only receiving the synchronization cost function.
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ItemCloseness of solutions and averaging for nonlinear systems on Riemannian manifoldsTaringoo, F ; Nesic, D ; Tan, Y ; Dower, PM (IEEE, 2013)An averaging result for periodic dynamical systems evolving on Euclidean spaces is extended to those evolving on (differentiable) Riemannian manifolds. Using standard tools from differential geometry, a perturbation result for time-varying dynamical systems is developed that measures closeness of trajectories via a suitable metric on a finite time horizon. This perturbation result is then extended to bound excursions in the trajectories of periodic dynamical systems from those of their respective averages, on an infinite time horizon, yielding the specified averaging result. Some simple examples further illustrating this result are also presented.
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ItemOn cascaded raman amplifier controlDower, PM ; Farrell, PM ; Něsić, D (IEEE, 2006-01-01)Extremum Seeking Control is applied to the control of cascaded Raman amplifiers for long-haul wavelength division multiplexed optical communications systems. Simulation demonstrates the effectiveness of this control strategy.