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

SP - 623

EP - 627

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

ER -