An H∞ control based receding horizon control scheme for linear systems subject to input saturation

• Published in: Proceedings of the 29th Chinese Control Conference pp. 648 - 655
• Main Authors: Wu Xiongjun, Lin Zongli, Xi Yugeng, Li Dewei
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.07.2010
• Subjects: Actuators; Constrained Control; Control design; Ellipsoids; Input Saturation; Optimization; Output feedback; Receding Horizon Control; State feedback; Trajectory; ℒ 2 Gain
• ISBN: 9781424462636; 1424462630
• ISSN: 1934-1768

This paper proposes an H ∞ control based receding horizon control design scheme for discrete-time linear systems subject input saturation and external ℒ 2 disturbances. Conditions are established under which the state trajectories of the closed-loop starting from an ellipsoid remain within another larger ellipsoid and the restricted ℒ 2 gain from the disturbance to the controlled output over a class of ℒ 2 disturbances with a given bound on their energies is no greater than a given number. These conditions allow the saturation to occur and reveal a clear trade-off between the sizes of the ellipsoids and the level of the restricted ℒ 2 gain, which motivates the adoption of the receding horizon control design approach. At each time instant, the control design is formulated as an LMI optimization problem. Both state feedback and output feedback are considered.