Fulfilling hard constraints in uncertain linear systems by reference managing
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
The explicit linear quadratic regulator for constrained systems
Automatica (Journal of IFAC)
Brief An algorithm for multi-parametric quadratic programming and explicit MPC solutions
Automatica (Journal of IFAC)
Brief paper: An analysis of signal transformation approach to triangular waveform tracking
Automatica (Journal of IFAC)
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This paper proposes constructing a reference governor for constrained linear systems with time-varying references. The main feature of the constructed reference governor is to simultaneously consider fulfillment of state and control constraints, as well as tracking performance by appropriately managing the reference to be inputted. To achieve constraint fulfillment and to evaluate tracking performance, the reference management is reduced into a convex quadratic programming problem using the concept of a maximal output admissible set. The reference governor is finally obtained in the form of a piecewise affine function of state and reference variables by means of a multi-parametric programming technique. In addition, the effectiveness of the reference governor is demonstrated by numerical and experimental examples of a practical DC position servomechanism with the control constraint.