1,721,246 research outputs found
Estimation, Learning, and Stability Analysis of Supply Function Equilibrium Game for Generation Companies
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On Output Feedback Control of Singularly Perturbed Systems
No full textWe treat the problem of robustness of output feedback controllers with respect to singular perturbations. Given a singularly perturbed control system whose boundary layer system is exponentially stable and whose reduced order system is exponentially stabilizable via a (possibly dynamical) output feedback controller, we present a sufficient condition which ensures that the system obtained by applying the same controller to the original full order singularly perturbed control system is exponentially stable for sufficiently small values of the perturbation parameter. This condition, which is less restrictive than those previously given in the literature, is shown to be always satisfied when the singular perturbation is due to the presence of fast actuators and/or sensors. Furthermore, we show explicitly that, in the linear time-invariant case, if this condition is not satisfied then there exists an output feedback controller which stabilizes the reduced order system but destabilizes the full order system
Low-cost mobile robotics platform for active teaching
No full textThis paper describes a series of projects developed for a Real-Time Control course addressed to CS and EE students. The objective of this work is to show the realization of robotics experiments using low cost hardware. During the course the students are immersed in a realistic design environment, where they can strengthen the theoretical principles while improving their abilities to think, analyse, and solve problems using "learning by doing" approach
Stochastic Model Predictive Control for economic/environmental operation management of microgrids
No full textMicrogrids are subsystems of the distribution grid which comprises generation capacities, storage devices and controllable loads, which can operate either connected or isolated from the utility grid. In this work, microgrid management system is developed in a stochastic framework. Uncertainties due to fluctuating demand and generation from renewable energy sources are taken into account and a two-stage stochastic programming approach is applied to efficiently optimize microgrid operations while satisfying a time-varying request and operation constraints. Mathematically, the stochastic optimization problem is stated as a mixed-integer linear programming problem, which can be solved in an efficient way by using commercial solvers. The stochastic problem is incorporated in a Model Predictive Control (MPC) scheme to further compensate the uncertainty though the feedback mechanism. Simulations show the effective performance of the proposed approach
On the Exponential Stability of Singularly Perturbed Systems
No full textThis paper establishes some results and properties related to the exponential stability of general dynamical systems and, in particular, singularly perturbed systems. For singularly perturbed systems it is shown that if both the reduced-order system and the boundary-layer system are exponentially stable, then, provided that some further regularity conditions are satisfied, the full-order system is exponentially stable for sufficiently small values of the perturbation parameter μ, and its rate of convergence approaches that of the reduced-order system (μ = 0) as μ approaches zero. Exponentially decaying norm bounds are given for the ``slow'' and ``fast'' components of the full-order system trajectories. To achieve this result, a new converse Lyapunov result for exponentially stable systems is presented
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