Computation of approximate fuel-optimal control
Iterative digital computer determination of optimal fuel control in linear time-invariant plant
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Iterative digital computer determination of optimal fuel control in linear time-invariant plant
Loci points of state space determination in time optimal control of stationary linear systems
Here, we explore the application of quantum optimal control (QOC) techniques to state preparation of lattice field theories on quantum computers. As a first example, we focus on the Schwinger model, quantum electrodynamics in 1+1 dimensions. We demonstrate that QOC can significantly speed up the ground state preparation compared to gate-based methods, even for models with long-range interactions. Using classical simulations, we explore the dependence on the interqubit coupling strength and the device connectivity, and we study the optimization in the presence of noise. While our simulations indicate potential speedups, the results strongly depend on the device specifications. In addition, we perform exploratory studies on the preparation of thermal states. Our results motivate further studies of QOC techniques in the context of quantum simulations for fundamental physics.
The grid-forming inverter is regarded as the solution for integrating high levels of renewable resources into future power systems. Ensuring the stable operation of grids necessitates that grid-forming inverters offer fast frequency response. This report introduces an optimal control method that coordinates the embedded storage within the grid-forming control model with conventional synchronous generators. The optimized active power reference for the embedded storage is generated using receding horizon optimization control, aiming to keep the center of inertia frequency within acceptable limits. The effectiveness of the proposed control is verified through testing in the IEEE 39-bus system. In addition, with grid-forming capability, we will also investigate the application of using mobile embedded storages as black-start units to provide cranking power to energize non-blackstart generators in a black-start process.
The problem of characterizing optimal controls for a class of distributed-parameter systems is considered. The system dynamics are characterized mathematically by a finite number of coupled partial differential equations involving first-order time and space derivatives of the state variables, which are constrained at the boundary by a finite number of algebraic relations. Multiple control inputs, extending over the entire spatial region occupied by the system ("distributed controls') are to be designed so that the response of the system is optimal. A major example involving boundary control of an unstable low-density plasma is developed from physical laws.
Optimal control of plants with random slowly varying parameters having known probability density function
Second order feedback method for computing optimal control corrections from state perturbations, noting results for nonlinear examples based of van der Pol equation
Function space approach to linear stochastic optimal control systems
Optimal control problem for linear regulators with constant external disturbance
Stochastic saturating systems optimal control computation, considering attitude control and tracking system design by elliptical differential equation of dynamic programming
Time optimal control of soft spring showing switching locus changes
Time optimal control of gravity gradient satellites with disturbances
Time and fuel optimal control for gravity gradient spacecraft
Primal and dual algorithms for discrete optimal control incorporating antijamming procedures
Time optimal control for nonlinear second order system containing positive parameter and measurable control function
Book on theory of optimal control and mathematical programming covering linear, nonlinear, quadratic programmings, etc
Application of the modern control theory to derive an optimal sun tracking control for a point focusing solar concentrator is presented. A standard tracking problem converted to regulator problem using a sun rate input achieves an almost zero steady state tracking error with the optimal control formulation. However, these control techniques are costly because optimal type algorithms require large computing systems, thus they will be used mainly as comparison standards for other types of control algorithms and help in their development.
An application of the new optimization algorithm called Static/Dynamic Control (SDC) to the design of low-thrust interplanetary trajectories is presented.