%D 2011 %N 5 %R 10.1007/s12555-011-0517-4 %O cited By 20 %L scholars1881 %J International Journal of Control, Automation and Systems %K Linear matrix inequalities; Lyapunov functions; Robust control; Uncertain systems, Common Lyapunov functions; Comparative simulation; Input and state constraints; Min-max control laws; Robust model predictive control; Robust model predictive controls (RMPC); Softened state constraints; Tracking setpoints, Model predictive control %X This paper starts with a brief review of robust model predictive control (RMPC) schemes for uncertain systems using linear matrix inequalities (LMIs) subject to input saturated and softened state constraints. However when RMPC has both input and state constraints, difficulties will arise due to the inability to satisfy the state constraints. In this paper, we develop two new tracking setpoint RMPC schemes with common Lyapunov function and with zero terminal equality subject to input saturated and softened state constraints. A brief comparative simulation of the two new RMPC schemes is implemented via examples to demonstrate the ability of the new RMPC schemes. © ICROS, KIEE and Springer 2011. %P 958-965 %T Tracking setpoint robust model predictive control for input saturated and softened state constraints %I Institute of Control, Robotics and Systems %A V.T. Minh %A F.B.M. Hashim %V 9