The objective of this paper is to mitigate the wave-induced vibration of offshore platform with magneto-rheological (MR) damper. The model of the platform coupled with MR damper is established where the external wave force is approximated with a white noise via a designed filter. Based on Linear Quadratic Gaussian (LQG) method, the optimal control force is determined when taking the measurement...

We investigate a linear-quadratic-Gaussian (LQG) control and sensing codesign problem, where one jointly designs policies. focus on the realistic case design is selected among finite set of available sensors, each sensor associated with different cost (e.g., power consumption). consider two dual problem instances: sensing-constrained LQG control, maximizes performance subject to budget, minimum...

In this paper, the numerical algorithm for solving the state and output feedback H∞-constrained LQG control problem is investigated. Although the equations that have to be solved to design the controller consist of the nonlinear crosscoupled algebraic Riccati equations (CAREs), it is newly proven that both the uniqueness and the positive semidefiniteness of the iterative solutions can be guaran...

In this paper, a wavelet packet decomposition (WPD) based real-time transcale linearquadratic-Gaussian (LQG) tracking control algorithm is given for a class of discrete stochastic systems, which is developed with the state-space models of wavelet packet coefficients at the coarsest scale decomposition layer established by Haar WPD. The WPD-based transcale control algorithm provides a compromise...

Standard LQG control theory is generalized to a regulation problem involving specified nonzero set points for the state and control variables and nonzero-mean disturbances. For generality, the results are obtained for the problem of fixed-order (i.e., not necessarily full-order) dynamic compensation. When the state, control, and disturbance offsets are set to zero and the compensator order is s...

Consider two critical Liouville quantum gravity surfaces (i.e., $\gamma$-LQG for $\gamma=2$), each with the topology of $\mathbb{H}$ and infinite boundary length. We prove that there a.s. exists a conformal welding surfaces, when boundaries are identified according to This results in LQG surface decorated by an independent SLE$_4$. Combined proof uniqueness such welding, recently established Mc...