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Closed-Loop Optimal Control of Discrete-Time Multiple Model Linear Systems with Unknown Parameters

Choi, Jinbae

Abstract Details

2016, Doctor of Philosophy, Case Western Reserve University, EECS - System and Control Engineering.
The closed-loop optimal control of multiple model linear systems with unknown parameters is investigated. The Bellman equation is modified to include the discrete random variable of the system mode conditioned on the measurements, and is then used to determine the optimal state feedback or dynamic output feedback controllers. Dynamic programming with the modified Bellman equation is used to calculate the optimal cost with the dual covariance. The dual covariance quantifies the probing aspects of the controller and is demonstrated that the closed-loop state or dynamic output feedback controllers have the dual property for the discrete-time multiple model linear systems with unknown parameters studied in this work. Monte Carlo simulations are used to show that the closed-loop control with state or dynamic output feedback always performs better than controllers such as the Certainty Equivalence or DUL controllers. Finally, the direct discrete-time implementation of the dual dynamic output feedback controller developed in this work is applied to the control of the nonlinear F-16 aircraft. The dual regulator is designed for stability augmentation in the context of reconfigurable control using the multiple model formulation integrated with flight and propulsion to accommodate sensor, actuator, and engine faults. The design process is explained in the context of trim, linearization, calculation of the mode probabilities, and tuning of the Kalman filters and includes the implementation of a six-stage dual regulator with a bank of parallel Kalman filters. The flight simulation results are presented for cases such as speed and pitch rate sensor faults, 1.5% and 3% losses of elevator actuator power, and 4% loss of engine power during steady-state level flight of the nonlinear F-16 aircraft model.
Kenneth Loparo, PhD (Advisor)
Marc Buchner, PhD (Committee Member)
Vira Chankong, PhD (Committee Member)
Richard Kolacinski, PhD (Committee Member)
156 p.

Recommended Citations

Citations

  • Choi, J. (2016). Closed-Loop Optimal Control of Discrete-Time Multiple Model Linear Systems with Unknown Parameters [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1441178373

    APA Style (7th edition)

  • Choi, Jinbae. Closed-Loop Optimal Control of Discrete-Time Multiple Model Linear Systems with Unknown Parameters. 2016. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1441178373.

    MLA Style (8th edition)

  • Choi, Jinbae. "Closed-Loop Optimal Control of Discrete-Time Multiple Model Linear Systems with Unknown Parameters." Doctoral dissertation, Case Western Reserve University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=case1441178373

    Chicago Manual of Style (17th edition)