TY - GEN
T1 - Discrete-time optimal control systems with state constraints
AU - Murillo, M.
AU - Naidu, D. S.
PY - 2002/1/1
Y1 - 2002/1/1
N2 - A slack variable approach is developed for solving general discrete-time state constrained optimal control problems. The discrete-time model is obtained from the continuous-time model described by the plant, the performance index, and the state constraints. The solution approach for the discrete-time systems follows the slack variable approach for the solution of the continuous-time systems in which additional states are added according to the order of the state constraint. The Pontryagin Principle gives the necessary conditions for optimality. Because the nature of the discrete formulation and the little overhead in the implementation of iterations in digital computers, the resulting discrete-time system can be solved efficiently using gradient methods such as steepest descent or conjugate gradient. Two examples including one on an F-16 aircraft are provided.
AB - A slack variable approach is developed for solving general discrete-time state constrained optimal control problems. The discrete-time model is obtained from the continuous-time model described by the plant, the performance index, and the state constraints. The solution approach for the discrete-time systems follows the slack variable approach for the solution of the continuous-time systems in which additional states are added according to the order of the state constraint. The Pontryagin Principle gives the necessary conditions for optimality. Because the nature of the discrete formulation and the little overhead in the implementation of iterations in digital computers, the resulting discrete-time system can be solved efficiently using gradient methods such as steepest descent or conjugate gradient. Two examples including one on an F-16 aircraft are provided.
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M3 - Conference contribution
SN - 9781624101083
T3 - AIAA Guidance, Navigation, and Control Conference and Exhibit
BT - AIAA Guidance, Navigation, and Control Conference and Exhibit
PB - American Institute of Aeronautics and Astronautics Inc.
T2 - AIAA Guidance, Navigation, and Control Conference and Exhibit 2002
Y2 - 5 August 2002 through 8 August 2002
ER -