Dr. Gary J. Balas
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Browsing Dr. Gary J. Balas by Author "Kaya, M. Alpay"
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Item Blending Methodology of Linear Parameter Varying Control Synthesis of F16 Aircraft System(American Institute of Aeronautics and Astronautics, 2002) Shin, Jong-Yeob; Balas, Gary J.; Kaya, M. AlpayThe design of a linear parameter varying (LPV) controller for the F-16 longitudinal axes over the entire flight envelope, using a blending methodology that lets an LPV controller preserve regional optimal solutions over each parameter subset and reduces computational costs for synthesizing an LPV controller, is presented. Three blending LPV controller synthesis methodologies are applied to control F-16 longitudinal axes. By the use of a function substitution method, a quasi-LPV model of the F-16 longitudinal axes is constructed from the nonlinear equations of motion over the entire flight envelope, including nontrim regions, to facilitate synthesis of LPV controllers for the F-16 aircraft. The nonlinear simulations of the blended LPV controller show that the desired performance and robustness objectives are achieved across all altitude variations.Item Control with Disturbance Preview and Online Optimization(Institute of Electrical and Electronic Engineers, 2004-02) Jarvis-Wloszek, Zachary; Philbrick, Douglas; Kaya, M. Alpay; Packard, Andrew; Balas, Gary J.We present an intuitive and self-contained formulation of a stability preserving receding horizon control strategy for a system where limited preview information is available for the disturbances. The simplicity of the derivation is due to (and its benefits somewhat offset by) a set of stringent and highly structured assumptions. The formulation uses a suboptimal value function for terminal cost, and relies on optimization strategies that only require a trivial improvement property, allowing implementation as an “anytime” algorithm. The nature of this strategy’s performance is clarified with linear examples.Item Nonlinear Receding Horizon Control of an F-16 Aircraft(American Institute of Aeronautics and Astronautics, 2002) Bhattacharya, Raktim; Balas, Gary J.; Kaya, M. Alpay; Packard, AndyThe application of receding horizon control (RHC) with the linear, parameter varying (LPV) design methodology to a high-fidelity, nonlinear F-16 aircraft model is demonstrated. The highlights are 1) use of RHC to improve upon the performance of a LPV regulator; 2) discussion on details of implementation such as control space formulation, tuning of RHC parameters, computation time and numerical properties of the algorithms; and 3) simulated response of nonlinear RHC and LPV regulator.