When designing a control system for structural control, the Linear Quadratic Regulation (LQR) approach is usually taken. While this centralized control approach optimally controls structural deflections during earthquakes, it is not well suited for systems employing a large number of sensors and actuators. As an alternative to LQR, a market-based control system is proposed. Market-based control...

This paper presents the ndings of a study devoted to a comparison of the eeective-ness of Linear Quadratic Regulator (LQR) and H 1 control for structures subjected to earthquake loadings. Research in the eld of active structural control has received much attention over the past few years, with the majority of eeorts focusing on formulation and application of the LQR-based control algorithms. Be...

This paper describes the method for trajectory tracking and balancing the Self Erecting Single Inverted Pendulum (SESIP) using Linear Quadratic Regulator (LQR). A robust LQR controller for stabilizing the SESIP is proposed in this paper. The first part of the controller is a Position Velocity (PV) controller to swing up the pendulum from its hanging position by moving the pendulum left and righ...

We present and solve a Linear Quadratic Regulator (LQR) for the boundary control of beam equation. use simple technique completing square to get an explicit solution. By decoupling spatial frequencies we are able reduce infinite dimensional LQR family two LQRs each which can be solved explicitly.

This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse control-Lyapunov function theorems are proved and their connections to the switched LQR problem are derived. It is shown that the system is exponentially stabilizable if and only if there exists a finite integer N such...