High-performance processes require a design that operates close to design boundaries and specifications, while still guaranteeing robust performance without design constraint violations. In order to safely approach tighter boundaries of process performance, much attention has been devoted to integrating design and control in which dynamic controllability, as well as the design decisions, are considered simultaneously. However, rigorous methods solving design and control simultaneously lead to challenging mathematical formulations that easily become intractable numerically and computationally. This paper introduces a new mathematical formulation to reduce this combinatorial complexity of integrating design and control. We will show that a substantial reduction in problem size can be achieved using embedded control decisions within specific designs. These embedded control decisions avoid a combinatorial explosion of control configuration, using a full state space model that does not require a pairing of control variables and loops. The current capabilities of the methodology will be demonstrated using a realistic reactor column flowsheet.