TY - GEN
T1 - Solving linear quadratic optimal control problems by Chebyshev-based state parameterization
AU - Nagurka, M.
AU - Wang, S.
AU - Yen, V.
PY - 1991/1/1
Y1 - 1991/1/1
N2 - A Chebyshev-based state representation method is developed for solving optimal control problems involving unconstrained linear time-invariant dynamic systems with quadratic performance indices. In this method, each state variable is represented by the superposition of a finite-term shifted Chebyshev series and a third-order polynomial. In contrast to solving a two-point boundary-value problem, the necessary condition of optimality is a system of linear algebraic equations which can be solved by a method such as Gaussian elimination. The results of simulation studies demonstrate that the proposed method offers computational advantages relative to a previous Chebyshev method and to a standard state transition method.
AB - A Chebyshev-based state representation method is developed for solving optimal control problems involving unconstrained linear time-invariant dynamic systems with quadratic performance indices. In this method, each state variable is represented by the superposition of a finite-term shifted Chebyshev series and a third-order polynomial. In contrast to solving a two-point boundary-value problem, the necessary condition of optimality is a system of linear algebraic equations which can be solved by a method such as Gaussian elimination. The results of simulation studies demonstrate that the proposed method offers computational advantages relative to a previous Chebyshev method and to a standard state transition method.
UR - http://www.scopus.com/inward/record.url?scp=0026393292&partnerID=8YFLogxK
U2 - 10.23919/acc.1991.4791333
DO - 10.23919/acc.1991.4791333
M3 - Conference contribution
AN - SCOPUS:0026393292
SN - 0879425652
SN - 9780879425654
T3 - Proceedings of the American Control Conference
SP - 104
EP - 109
BT - Proceedings of the American Control Conference
PB - Publ by American Automatic Control Council
T2 - Proceedings of the 1991 American Control Conference
Y2 - 26 June 1991 through 28 June 1991
ER -