Low-gain integral control of linear distributed parameter systems subject to input saturation

Closing the loop around an exponentially stable single-input single-output regular linear system, subject to a globally Lipschitz and nondecreasing actuator nonlinearity and compensated by an integral controller, is shown to ensure asymptotic tracking of constant reference signals, provided that (a)...

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Bibliographic Details
Published inProceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171) Vol. 1; pp. 921 - 926 vol.1
Main Authors Logemann, H., Ryan, E.P., Townley, S.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1998
Subjects
Control engineering
Control systems
Distributed control
Distributed parameter systems
Gain
Hydraulic actuators
Linear systems
Nonlinear control systems
Steady-state
Tracking loops
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Summary:Closing the loop around an exponentially stable single-input single-output regular linear system, subject to a globally Lipschitz and nondecreasing actuator nonlinearity and compensated by an integral controller, is shown to ensure asymptotic tracking of constant reference signals, provided that (a) the steady-state gain of the linear part of the plant is positive, (b) the positive integrator gain is sufficiently small and (c) the reference value is feasible in a very natural sense. The class of actuator nonlinearities under consideration contains standard nonlinearities important in control engineering such as saturation and deadzone.
ISBN:9780780343948
0780343948
ISSN:0191-2216
DOI:10.1109/CDC.1998.760811