Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"H2 Norm"”.
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Optimal sensor placement for linear systems
… linear dynamical systems we consider, with the H2-norm of the observer error system. In this approach, we optimize both the subset of selected sensors and the observer gain matrix in parallel. The optimization problem is non-convex both in a constraint, which bounds the H2-norm, as well as in …
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Estimation and Control of Autonomous Vehicles Over Networks
… LMIs to find the controller which minimizes the H2 norm of the response of a system to noise. This method uses sampled-data system theory to take into account a continuous plant and a discrete controller. Although this synthesis was motivated by the HoTDeC testbed it is applicable to all …
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Constrained H̳₂ design via convex optimization with applications
… is presented which minimizes the closed-loop H2 norm, subject to constraints on the magnitude of closed-loop transfer functions and transient responses due to specified inputs. This method uses direct parameter optimization of the closed-loop Youla or Q-parameter where the variables are the …
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A Polynomial Chaos Approach to Control Design
A method utilizing H2 control concepts and the numerical method of Polynomial Chaos was developed in order to create a novel robust probabilistically optimal control approach. This method was created for the practical reason that uncertainty in parameters tends to be inherent in system models. As …
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Reduction of periodic systems with partial Floquet transforms
… reduction such as the transfer function and the H2 norm. Building on these concepts we present an algorithm which converges to the dominant poles of an infinite dimensional operator. These poles may then be used to produce the partial Floquet transform.
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An interpolation-based approach to the weighted H2 model reduction problem
… an interpolation-based approach to the weighted-H2 model reduction problem. Nonetheless, first we will discuss the regular (unweighted) H2 model reduction problem. We will re-visit the interpolation conditions for H2-optimality, also known as Meier-Luenberger conditions, and discuss how to obtain …
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Load Learning and Topology Optimization for Power Networks
… metrics, a unified framework based on the H2-norm of the system is presented. The proposed framework assesses the robustness of power grids to small disturbances and is used to study the optimal placement of new lines on existing networks as well as the design of radial topologies for new …
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Robust adaptive sampled-data control design for MIMO systems: Applications in cyber-physical security
… margin and a cost-function based on mixed L1/H2-norm performance measure. The optimization problem can be efficiently solved using linear/quadratic programming. We note that the framework of this dissertation and the multi-loop problem formulation of navigation and control of autonomous …
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Stochastic Optimization and Optimal Control for Complex Networked Infrastructures
… inertia. An analytical expression of system H2 norm is provided and a mean-square stability criteria is developed. In addition, we present a multi-stage stochastic optimal control problem for wind farm power maximization. We generalize the original actuator disk model (ADM) by incorporating …
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Efficient 𝐻₂-Based Parametric Model Reduction via Greedy Search
Dynamical systems are mathematical models of physical phenomena widely used throughout the world today. When a dynamical system is too large to effectively use, we turn to model reduction to obtain a smaller dynamical system that preserves the behavior of the original. In many cases these models …