Test: The State Regulator Problem - Electrical Engineering (EE) MCQ

Explanation: The optimization method is based on dynamic programming views control problem as the multistage decision problem and control input as time sequence of decisions.

Explanation: The choice of control vector is considered decision of interest as it the part of multistage process of N stages and this is optimal policy or sequence and this minimizes the performance criteria.

Explanation: In principle of invariant imbedding we do not regard the control problem as an isolated problem with fixed initial value and N but rather imbed it with the family of problems.

 The principle of optimality reduces the N-stage decision process into N-stage single state process, which state that an optimal control policy has the property that whatever the initial state and conditions are final state must follow the optimal policy.

Explanation: It is permissible to find the last decision as the initial calculation step in multi stage decision process.

Explanation: The optimal control at each state is linear combination of states and thus giving the linear state variable feedback control policy.

Explanation: Feedback is time varying all the optimal policy converts a linear time invariant plant with time invariant quadratic performance index into a linear time varying feedback system.

Explanation: Once the optimal control policy has been determined, its realization is the second phase of the optimal control problem its realization seeks feedback of the state variables.

Explanation: It produces at it output the plant states, when driven by the both the plant input and output.

Explanation: The contribution of uncontrollable and unstable states is always finite provided the control interval is always finite.