TY - JOUR
T1 - ON THE 'ADIABATIC APPROXIMATION' FOR DESIGN OF CONTROL LAWS FOR LINEAR, TIME-VARYING SYSTEMS.
AU - Friedland, Bernard
AU - Richman, Jack
AU - Williams, Douglas E.
PY - 1986
Y1 - 1986
N2 - Control laws are often designed for linear time-varying processes by solving the algebraic Riccati equation for the optimum control law at each instant of time. Such designs may be called 'adiabatic approximations'. Although they are not optimum, they can result in closed-loop systems which perform well. The stability of systems designed using the adiabatic approximation can be assessed by the second method of Lyapunov. Stability is assured if a readily computed test matrix, which depends on the rate of change of the parmeters of the system, is negative-definite. Examples are given to show how the theory can be applied.
AB - Control laws are often designed for linear time-varying processes by solving the algebraic Riccati equation for the optimum control law at each instant of time. Such designs may be called 'adiabatic approximations'. Although they are not optimum, they can result in closed-loop systems which perform well. The stability of systems designed using the adiabatic approximation can be assessed by the second method of Lyapunov. Stability is assured if a readily computed test matrix, which depends on the rate of change of the parmeters of the system, is negative-definite. Examples are given to show how the theory can be applied.
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U2 - 10.23919/acc.1986.4789012
DO - 10.23919/acc.1986.4789012
M3 - Conference article
AN - SCOPUS:0022606461
SN - 0743-1619
SP - 623
EP - 627
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
ER -