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Showing 1 to 5 of 5 for “"LQR problem"”.

  1. Polynomial Chaos Approaches to Parameter Estimation and Control Design for Mechanical Systems with Uncertain Parameters

    … system design the study has focused on the LQR problem when dealing with parametric uncertainties. The LQR problem was written as an optimality problem using Lagrange multipliers in an extended form associated with the polynomial chaos framework. The solution to the Hâ problem as well as the …

    vt Repository record for Polynomial Chaos Approaches to Parameter Estimation and Control Design for Mechanical Systems with Uncertain Parameters (opens in a new tab)

  2. Some decentralized optimization and control algorithms for the control of wind farms

    … is posed as a stochastic resource allocation problem that takes into account the stochastic wind and other wind farm characteristics. We develop a stochastic algorithm based on network dynamic system theory to solve the resource allocation problem. We show that the algorithm converges to the …

    uiuc Repository record for Some decentralized optimization and control algorithms for the control of wind farms (opens in a new tab)

  3. Reduced Order Methods for Large Scale Riccati Equations

    Solving the linear quadratic regulator (LQR) problem for partial differential equations (PDEs) leads to many computational challenges. The primary challenge comes from the fact that discretization methods for PDEs typically lead to very large systems of differential or differential algebraic …

    vt Repository record for Reduced Order Methods for Large Scale Riccati Equations (opens in a new tab)

  4. Methods of Computing Functional Gains for LQR Control of Partial Differential Equations

    … methods for linear quadratic regulator (LQR) problems defined by parabolic partial differential equations. In particular, we study various methods for computing functional gains to boundary control problems for the heat equation. These methods require us to solve various equations …

    vt Repository record for Methods of Computing Functional Gains for LQR Control of Partial Differential Equations (opens in a new tab)

  5. An Interdisciplinary and Probabilistic Treatment of Contemporary Highway Design Standards

    … the existing algorithm as a constrained LQR problem, which enhances ride comfort and maintains dynamic stability for not just one vehicle, but a platoon. Simulations demonstrate that the refined algorithm can reduce the travel time on a specific route by 3-4.4%. More importantly, the …

    vt Repository record for An Interdisciplinary and Probabilistic Treatment of Contemporary Highway Design Standards (opens in a new tab)