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

• Published in: Proceedings 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
• Language: English
• 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
• ISBN: 9780780343948; 0780343948
• ISSN: 0191-2216
• DOI: 10.1109/CDC.1998.760811

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.