G. Da Prato, Synthesis of optimal control for an infinite dimensional periodic problem, SIAM Journal of Control and Optimization, 25(3) (1987), pp. 706-714. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
LQR Control of Shell Vibrations via Piezoceramic Actuators - Rosario, Smith (1998) (Correct)
....disturbances. To guarantee the existence of a unique Riccati solution and control for the system (3.5) it is assumed that (A; B) is stabilizable and (A; C) is detectable. Furthermore, it is assumed that g 2 L 2 (0; H) and that B is bounded. Under these conditions, it is verified in [6] that the Riccati equation A Pi PiA PiBR Gamma1 B Pi C C = 0 has a unique solution. Furthermore, if r denotes the periodic solution of the adjoint or tracking equation r(t) Gamma[A Gamma BR Gamma1 B Pi] r(t) Pig(t) r(0) r( and z is the closed ....
G. Da Prato, "Synthesis of Optimal Control for an Infinite Dimensional Periodic Problem, " SIAM J. Control and Optimization, 25(3), 1987, pp. 706-714.
LQR Control Of Thin Shell Dynamics: Formulation And Numerical .. - Rosario, Smith (1997) (Correct)
....all frequencies present in g.The theory for this case is less complete than that for systems with no exogenous input and is currently limited to bounded control inputs B. Under the assumption that (A, B) is stabilizable, A, D) is detectable and g # L 2 (0,#; H) it is verified in [11] that the Riccati equation A # # #A #BR 1 B # # Q =0 has a unique solution. Furthermore, if r denotes the # periodic solution of the adjoint or tracking equation r(t) A BR 1 B # #] # r(t) #g(t) r(0) r(#) and z is the closed loop solution of z(t) A BR 1 B # #]z(t) BR 1 B ....
G. Da Prato, Synthesis of optimal control for an infinite dimensional periodic problem, SIAM Journal of Control and Optimization, 25(3) (1987), pp. 706-714.
A Nonlinear Physics-Based Optimal Control Method for.. - Smith (1997) (2 citations) (Correct)
....G(t) models periodic or oscillatory inputs to the system. If denotes the fundamental period for all frequencies present, an appropriate performance index is J(u) 1 2 Z 0 h y T (t)Qy(t) u T (t)Ru(t) i dt : Under the hypotheses of stabilizability and detectability, it is shown in [3, 12] that the optimal control (23) can be formulated in terms of the solution to the algebraic Riccati equation (26) and the solution to the periodic perturbation system r(t) Gamma h A Gamma BR Gamma1 B T Pi i T r(t) PiG(t) r(0) r( 27) This yields a feedback algorithm which ....
G. Da Prato, "Synthesis of optimal control for an infinite dimensional periodic problem," SIAM Journal of Control and Optimization, 25(3), 1987, pp. 706-714.
Experimental Confirmation of a PDE-Based Approach.. - Banks, Smith.. (1997) (Correct)
.... and implementations addressed in this paper (including linear quadratic Gaussian (LQG) compensator and feedback design for unbounded input systems with periodic exogenous excitation) the theory is essentially complete if one combines and extends slightly the results in the literature (e.g. see [7, 23, 30, 35, 36]) A complete approximation and convergence analysis for the MinMax formulation is still under development, but the di#cult points of the theory and their solution are basically resolved. We chose not to implement the MinMax design on the plate vibration problem described below since extensive ....
G. DA PRATO, Synthesis of optimal control for an infinite dimensional periodic problem, SIAM J. Control Optim., 25 (1987), pp. 706--714.
LQR Control Of Thin Shell Dynamics: Formulation And Numerical .. - Rosario, Smith (1997) (Correct)
....with all frequencies present in g. The theory for this case is less complete than that for systems with no exogenous input and is currently limited to bounded control inputs B. Under the assumption that (A; B) is stabilizable, A; D) is detectable and g 2 L 2 (0; H) it is verified in [11] that the Riccati equation A Pi PiA PiBR Gamma1 B Pi Q = 0 has a unique solution. Furthermore, if r denotes the periodic solution of the adjoint or tracking equation r(t) Gamma[A Gamma BR Gamma1 B Pi] r(t) Pig(t) r(0) r( and z is the closed loop ....
G. Da Prato, "Synthesis of Optimal Control for an Infinite Dimensional Periodic Problem, " SIAM Journal of Control and Optimization, 25(3), pp. 706-714, 1987.
National Aeronautics and - Space Administration Langley (1998) (Correct)
No context found.
G. Da Prato, Synthesis of optimal control for an infinite dimensional periodic problem, SIAM Journal of Control and Optimization, 25(3) (1987), pp. 706-714.
Parameter Estimation In A Structural Acoustic System - With Fully Nonlinear (1994) (Correct)
No context found.
G. Da Prato, "Synthesis of Optimal Control for an Infinite Dimensional Periodic Problem," SIAM J. Control Opt., 25, 1987, pp. 706-714.
Legendre-Tau Approximations for LQR Feedback Control of.. - Banks, Fakhroo (1995) (1 citation) (Correct)
No context found.
G. Da Prato. Synthesis of optimal control for an infinite dimensional periodic problem, SIAM J. Control and Opt. 25 (1987), 163-182.
Approximation And Numerical Experiments For Control Of Time.. - Wang (1993) (Correct)
No context found.
G. Da Prato, Synthesis of optimal control for an infinite dimensional periodic problem, SIAM J. Control Optim., 25 (1987), pp. 706 --714.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC