Optimal Linear Regulator Control Research Articles

Wind vibration control of stay cables using an evolutionary algorithm

In steel cable bridges, the use of magnetorheological (MR) dampers between butt cables is constantly increasing to dampen vibrations caused by rain and wind. The biggest problem in the actual applications of those devices is to launch a kind of appropriate algorithm that can effectively and efficiently suppress the perturbation of the tie through basic calculations and optimal solutions. This article discusses the optimal evolutionary design based on a linear and quadratic regulator (hereafter LQR) to lessen the perturbation of the bridges with cables. The control numerical algorithms are expected to effectively and efficiently decrease the possible risks of the structural response in amplification owing to the feedback force in the direction of the MR attenuator. In addition, these numerical algorithms approximate those optimal linear quadratic regulator control forces through the corresponding damping and stiffness, which significantly lessens the work of calculating the significant and optimal control forces. Therefore, it has been shown that it plays an important and significant role in the practical application design of semiactive MR control power systems. In the present proposed novel evolutionary parallel distributed compensator scheme, the vibrational control problem with a simulated demonstration is used to evaluate the numerical algorithmic performance and effectiveness. The results show that these semiactive MR control numerical algorithms which are present proposed in the present paper has better performance than the optimal and the passive control, which is almost reaching the levels of linear quadratic regulator controls with minimal feedback requirements.

Optimal Level Controller for Steam Generators in Pressurized Water Reactors

The paper presents a different approach via optimal control theory to the design of water level controller for steam generators in large pressurized water reactors. The problem is cast into an optimal linear regulator control problem and a linearized state space model in standard form is developed from the nonlinear descriptor representation of the system. The proposed controller is a linear, constant, state feedback law which has the following desirable features: (a) the controller is independent of the disturbance, (b) the water level returns to its prespecified level value following a disturbance, (c) the controlled system is asymptotically stable, and (d) the transients are optimized. A numerical example is given to illustrate the effectiveness of the proposed controller.

Optimal regulator control for systems with time‐varying measurable and partially measurable disturbances

AbstractThis paper presents extensions to the optimal linear regulator control problem that allow for time‐varying measurable disturbances and partially measurable disturbances. The utility of these new algorithms is domonstrated by stirred‐tank reactor and staged binary distillation column examples.

A ball balancing demonstration of optimal and disturbance-accomodating control

The modeling, analysis, and design of a ball-balancing control system are considered. An optimal linear regulator control system is constructed, and an optimal hybrid controller capable of absorbing external disturbance is implemented. The controller design is based on the theory of disturbance-accommodating control, optimal linear quadratic regulator control, and a digital delayed-data observer. Experimental results presented are useful for demonstrating practical aspects of the analysis. Furthermore, the ball-balancing control system developed is ideal for demonstrating the design and hardware implementation of optimal controllers based on modern control theory.