Approved plans enable control primarily by defining what is included within the approved project scope, which helps to avoid scope creep. These plans establish clear boundaries and deliverables for the project, which are essential for managing resources and ensuring that the project team remains focused on delivering the specified outputs without unnecessary expansion of the project scope.References: (PRINCE2 7 Foundation Handbook, AXELOS)

The authorization to deliver the project's products is given during the Directing a Project process. This process involves the Project Board's decision-making responsibilities, including granting permission to proceed with the project after the initiation phase and authorizing the delivery of stages as the project progresses.
References: PRINCE2 Foundation manual, PRINCE2 official resources

PRINCE2ensures that the specific management needs of an organization are met by incorporating tailoring.
Tailoring involves adapting the method to suit the project's environment, size, complexity, importance, capability, and risk. It allows organizations to apply PRINCE2effectively across different types of projects and organizational environments.References: PRINCE2Foundation Manual

A risk budget should be used to implement contingency plans (2) and actions to avoid a risk from occurring (3). This budget is set aside to fund specific actions that are part of the project's risk management strategy, enabling proactive and reactive responses to identified risks, ensuring the project remains on track despite uncertainties.References: = PRINCE2 7 Foundation handbook and online resources

The purpose of the 'Directing a Project' process in PRINCE2 is for the project board to exercise overall control over the project while delegating day-to-day management of the project stages to the Project Manager.
This process includes decision-making on project initiation and continuation, as well as providing overall guidance on policy and standards. References: PRINCE2 Foundation Training Manual; PRINCE2 2017 Foundation handbook.