Indeed, under design-based inference there is a lack of optimal results, in the sense that it is not possible to determine the minimum-variance strategy, as is customary in model-based approaches (e.g. Thompson 2002, Chapter 9).
A basic optimal control law is first introduced by the generalized minimum variance control strategy, followed by a modification of introducing the modeling error estimate to the control law.
It is well known that if we intend to use a minimum variance control strategy, which is designed based on a model obtained from an identification experiment, the best experiment which can be performed on the system to determine such a model (subject to output power constraints, or for some specific model structures) is to use the true minimum variance controller.
This paper describes a Generalized Minimum Variance Control (GMVC) strategy for time varying systems (TVS).
It is known that this exaggerative effect on the outliers is reduced with the use of l1-norm and hence, its minimization could be a meliorative strategy w.r.t the minimum variance solution, in that the error on the outliers are less penalized [11].
Based on the real-time-estimated parameters of the EDM process model, by using minimum-variance control strategy, the process controller, a self-tuning regulator, was designed to control the machining process so that the gap states follow the specified gap state.
This paper presents a study on self-tuning control strategies with generalized minimum variance control in a fixed two degree of freedom structure or simply GMV2DOF within two adaptive perspectives.
Conventional proportional-integral-derivative (PID) control algorithms (e.g. PID, Smith predictor and Dahlin's control) and stochastic control strategies [e.g. minimum variance control (MVC), constrained MVC and one-step optimal control] are evaluated first at the simulation level to identify promising control runs.
For controlling these two variables, a multiloop control strategy was designed by using two generalized minimum variance adaptive controllers.
A two terminal HVDC system study has been carried out to show the effectiveness of the control strategies proposed which include the design of minimum variance controller, pole assigned controller and PLQG controller.
