Abstract Previous works in this series have shown that an instance of a $$\sqrt{8/3}$$ 8 / 3 -Liouville quantum gravity (LQG) sphere has well-defined distance function, and the resulting metric measure space (mm-space) agrees la...

The objective of this paper is to investigate a multi-objective linear quadratic Gaussian (LQG) control problem. Specifically, we examine an optimal problem that minimizes cost over finite time horizon for stochastic systems subject energy constraints. To tackle problem, propose efficient bisection line search algorithm outperforms other approaches such as semidefinite programming in terms comp...

This paper develops a controller synthesis method for distributed LQG control problems under output-feedback. We consider a system consisting of three interconnected linear subsystems with a delayed information sharing structure. While the state-feedback case has previously been solved, the extension to output-feedback is nontrivial as the classical separation principle fails. To find the optim...

It has recently been shown that the logarithmic barrier method for solving nite-dimensional, linearly constrained quadratic optimization problems can be extended to an innnite-dimensional setting with complexity estimates similar to the nite dimensional case. As a consequence, an eecient computational method for solving the linearly constrained LQ control problem is now a vailable. In this pape...

This paper considers the application of LQG integral control theory to a problem of cavity locking in quantum optics. The cavity locking problem involves controlling the error between the laser frequency and the cavity frequency. A model for the cavity system, which comprises of a piezo-electric actuator and an optical cavity is determined in the frequency domain using a subspace identification...

This paper introduces two discrete-time controllers for horizontal axis wind turbines (HAWTs): a Linear Quadratic Gaussian (LQG) one and a model predictive (MPC) one. The LQG controller aims to strongly attenuate the disturbances influence on the system output. The control objective consists of keeping the output power constant, despite the wind variation, and thus reducing the fatigue that inv...

The paper presents a practical robust controller design methodology based on recent theoretical results on minimax LQG control. This controller design methodology is illustrated with the design of a robust feedback controller for the control of vibrations in a flexible cantilever beam. The minimax LQG control approach is used to design a controller which minimizes the total vibration energy in ...

In this paper, a modified LQG technique is proposed for the solution of the robotic visual tracking problem (eye-in-hand configuration). The problem of mbotic visual tracking is formulated as a problem of combining control with computer vision. A crosstorrelation method provides the object's motion measurements which are used to update the system's measurement vector. These measurements arc fed...