Efficient design of high performance automatic control systems is extremely important for high technology systems. To get the best hardware cost-to-performance ratio, it is desirable to design a controller that takes full advantage of actuator capabilities, but this can lead to nonlinear behavior due to actuator saturation. The saturation nonlinearities in the system may have severe effects on system performance due to, for example, integrator windup. In this paper, a new design method is presented based on Lyapunov stability theory. By incorporating the actuator constraints directly in the design method, better utilization of the available control effort can be ensured in achieving desired system behavior. [S0022-0434(00)01801-3]
Issue Section:Technical Papers
Keywords:control systems, actuators, Lyapunov methods, design engineering, controllers
Tyan, F., and Bernstein, D. S., 1994, “Antiwindup Compensator Synthesis for Systems with Saturating Actuators,” Proceedings of the 33rd Conference on Decision and Control, 1, pp. 150–155.
An Adaptive Predictive Regulator with Input Saturations,”
Feng, T., 1995, “Robust Stability and Performance Analysis for Systems with Saturation and Parameter Uncertainty,” Ph.D. thesis, University of Michigan, Ann Arbor.
A. R., and
Uniting Local and Global Controllers for the Caltech Deducted Fan,”
Am. Control Conference,
Anti-Windup, Bumpless, and Conditioned Techniques for PID Controllers,”
IEEE Control Syst. Mag.,
A Modified Rate-Varying Integral Controller,”
Yang, S., and Leu, M. C., 1989, “Stability and Performance of a Control System with an Intelligent Limiter,” Proceedings of the 1989 American Control Conference, pp. 1699–1705.
Anti-Windup Control of Second-Order Plants with Saturation nonlinearity,”
ASME J. Dyn. Syst., Meas., Control,
H. A., and
Direct Digital Control Algorithm with Anti-Windup Feature,”
Gilbert, E. G., and Kolmanovsky, I., 1995, “Discrete-Time Reference Governers for Systems with State and Control Constraints and Disturbance Inputs,” Proceedings of the 34th Conference on Decision and Control, pp. 1189–1194.
G. F., and
Piecewice-Linear LQ Control for Systems with Input Constraints,”
Larsson, P. T., “Controller Design for Linear Systems Subject to Actuator Saturation,” Ph.D. thesis, University of Michigan.
A New Design of Constrained Controllers for linear systems,”
IEEE Trans. Autom. Control.,
Optimal Nonlinear, but Continuous, Feedback Control of Systems with saturating actuators,”
Int. J. Control,
A Design of Saturating Control with a Guaranteed Cost and its Application to the Crane Control System,”
IEEE Trans. Autom. Control.,
Larsson, P. T., 1999, Controller Design for Linear Systems Subject to Actuator Constraints, Ph.D. thesis, University of Michigan.
Larsson, P. T., and Ulsoy, A. G., 1998, “Scaling the Speed of Response Using LQR Design,” Proceedings of the Conference on Decision and Control, Vol. 1, pp. 1171–1176.
Performance-Based Selection of PD Control Gains for Servo Systems with Actuator Saturation,”
Proc. ASME J. Dyn. Syst., Meas., Control Division,
Kamenetskiy, V. A., 1996, “The Choice of a Lyapunov Function for Close Approximation of the set of Linear Stabilization,” Proceedings of the 35th Conference on Decision and Control, Vol. 1, pp. 1059–1060.
Class of Globally Stable Saturated State Feedback Regulators,”
Int. J. Systems Sci.,
Global Stability of Linear Systems with Saturated Controls,”
Int. J. Syst. Sci.,
Gyugyi, P. J., and Franklin, G., 1993, “Multivariable Integral Control with Input Constraints,” Proceedings of the 32nd Conference on Decision and Control, 3, pp. 2505–2510.
Phelan, R. M., 1977, Automatic Control Systems, Cornell University Press, Ltd.
Hsu, J. C., and Meyer, A. U., 1968, Modern Control Principles and Applications, McGraw-Hill.
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