A methodology for simultaneous design and control for dynamic systems under uncertainty has been developed. The algorithm moves away (back-off) from the optimal steady-state design (which is often found to be dynamically infeasible) to, a new feasible operating point under process dynamics and parameter uncertainty by solving a set of optimization problems in an iterative manner. PowerSeries Expansions (PSE) are employed to represent the cost function and constraints in the optimization problems. The challenge in this method is to calculate in a systematic fashion the amount of back-off needed to accommodate the transient operation of the process. The method has been tested on an isothermal storage tank and a waste water treatment plant and the results compared with the formal integration. The results have shown that this method has the potential to address the simultaneous design and control of dynamic systems under uncertainty at lower computational costs. (C) 2016 Elsevier Ltd. All rights reserved.