Control of a class of nonlinear distributed parameter systems via direct search on the performance index
Direct search of performance index for optimal control of class of nonlinear distributed parameter systems
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Direct search of performance index for optimal control of class of nonlinear distributed parameter systems
A method is presented for designing optimal feedback controllers for systems having subsystem sensitivity constraints. Such constraints reflect the presence of subsystem performance indices which are in conflict with the performance index of the overall system. The key to the approach is the use of relative performance index sensitivity (a measure of the deviation of a performance index from its optimum value). The weighted sum of subsystem and/or operational mode relative performance index sensitivies is defined as an overall performance index. A method is developed to handle linear systems with quadratic performance indices and either full or partial state feedback. The usefulness of this method is demonstrated by applying it to the design of a stability augmentation system (SAS) for a VTOL aircraft. A desirable VTOL SAS design is one that produces good VTOL transient response both with and without active pilot control. The system designed using this method is shown to effect a satisfactory compromise solution to this problem.
Optimal control with Chebyshev minimax performance index
A method is presented for the design of optimal feedback controllers for large multivariable systems with subsystem sensitivity constraints. The weighted sum of subsystem and/or operational mode relative performance index sensitivities is defined as the overall performance index. The method is developed for linear systems with quadratic performance criteria and either full or partial state feedback. An example concerning the design of a stability augmentation system for a VTOL aircraft in the transition mode demonstrates the effectiveness of the design method.
Performance index includes a model representing linear control-system design specifications. Based on a geometric criterion for approximation of the model by the actual system, the index can be interpreted directly in terms of the desired system response model without actually having the model's time response.
Constrained parameter optimization was used to perform the optimal preliminary design of a medium range transport configuration. The impact of choosing a performance index was studied and the required fare for a 15 percent return-on-investment was proposed as a figure-of-merit. A number of design constants and constraint functions were systematically varied to document the sensitivities of the optimal design to a variety of economic and technological assumptions. Additionally, a comparison is made for each of the parameter variations between the baseline configuration and the optimally redesigned configuration.
Optimal bang-bang control with quadratic performance index
Upper bounds existence on performance index of nonlinear systems
Algorithm for minimizing expected value of quadratic performance index in closed loop optimal control of linear time varying systems.
The purpose of this paper is to investigate the effects of small parameter variations on the performance index of minimum-fuel systems with initial and final manifolds. The pulse-shaped variations produced by the parameter change on the piecewise-constant control are taken into account in order to derive the trajectory sensitivity equation. It is proved that the variation of the performance index is related to those of the trajectory and the parameter by a simple expression. This expression extends, to the class of minimum-fuel problems, a re sult obtained by Kokotovic et al. for systems with continuous, unconstrained controls.
Optimal control of dynamic systems with minimax type performance index, discussing application of proposed method of solution
Optimal control with quadratic performance index and fixed terminal time
Optimal control of dynamic systems with minimax type performance index, discussing application of proposed method of solution
Model performance index /Pi/ providing criterion for approximating one dynamic flight control system by another based on geometrical representation of linear autonomous systems
New model performance index for engineering design of flight control systems
Model performance index /PI/ providing criterion for approximating one dynamic flight control system by another based on geometrical representation of linear autonomous systems
Signal to noise ratio and performance index of filters for waveform estimation, discussing optimum mean-square filters
Quadratic performance index for VTOL aircraft model reference attitude control system