Parameter governors for discrete-time nonlinear systems with pointwise-in-time state and control constraints

Parameter governors are add-on control schemes that adjust parameters (such as gains or offsets) in the nominal control laws so that to avoid violation of pointwise-in-time state and control constraints and to improve the overall system performance. As compared to more general model predictive controllers, parameter governors tend to be more conservative but the computational effort needed to implement them on-line can be relatively low. In this paper, we study the properties of two particular classes of parameter governors, namely, the feedforward governors and the gain governors.

[1]  Alberto Bemporad,et al.  Reference governor for constrained nonlinear systems , 1998, IEEE Trans. Autom. Control..

[2]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[3]  Ilya V. Kolmanovsky,et al.  Nonlinear tracking control in the presence of state and control constraints: a generalized reference governor , 2002, Autom..

[4]  Ilya V. Kolmanovsky,et al.  Analysis and control of transient torque response in engines with internal exhaust gas recirculation , 1999, IEEE Trans. Control. Syst. Technol..

[5]  Edoardo Mosca,et al.  Command governors for constrained nonlinear systems , 1999, IEEE Trans. Autom. Control..

[6]  E. Mosca,et al.  Nonlinear control of constrained linear systems via predictive reference management , 1997, IEEE Trans. Autom. Control..

[7]  Ilya Kolmanovsky,et al.  Multimode regulators for systems with state & control constraints and disturbance inputs , 1997 .

[8]  E. Gilbert,et al.  Theory and computation of disturbance invariant sets for discrete-time linear systems , 1998 .

[9]  K. T. Tan,et al.  Discrete‐time reference governors and the nonlinear control of systems with state and control constraints , 1995 .

[10]  Michael Athans,et al.  Design of feedback control systems for stable plants with saturating actuators , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[11]  Alberto Bemporad,et al.  A nonlinear command governor for constrained control systems , 1996 .

[12]  C. Desoer,et al.  Tracking and Disturbance Rejection of MIMO Nonlinear Systems with PI Controller , 1985, 1985 American Control Conference.