Decay rate estimations for linear quadratic optimal regulators

Using Mvmo for Optimal Tuning of Linear Quadratic Regulators for Dfig-wt

The linear quadratic regulator (LQR) controller is used to enhance the low voltage ride through (LVRT) of doubly-fed induction generator based wind turbines (DFIG-WT). A heuristic optimization method, which is MVMO, is used for optimal design of the LQR weighting matrices Q and R. The objective function of the optimization problem is to minimize the peak short-circuit current and the associated...

Optimal Linear Quadratic Control

Linear Quadratic Optimal Control

In previous lectures, we discussed the design of state feedback controllers using using eigenvalue (pole) placement algorithms. For single input systems, given a set of desired eigenvalues, the feedback gain to achieve this is unique (as long as the system is controllable). For multi-input systems, the feedback gain is not unique, so there is additional design freedom. How does one utilize this...

Haar Matrix Equations for Solving Time-Variant Linear-Quadratic Optimal Control Problems

‎In this paper‎, ‎Haar wavelets are performed for solving continuous time-variant linear-quadratic optimal control problems‎. ‎Firstly‎, ‎using necessary conditions for optimality‎, ‎the problem is changed into a two-boundary value problem (TBVP)‎. ‎Next‎, ‎Haar wavelets are applied for converting the TBVP‎, ‎as a system of differential equations‎, ‎in to a system of matrix algebraic equations‎...

Towards Full System Linear Quadratic Regulators for Humanoid Control

1.1 Modelling a Humanoid Robots that are to locomote in a human like fashion require control of high degree of freedom (DOF) motions potentially coupled in a complex way. It remains challenging to express the task objective in an intuitive way and simultaneously generate feedback gains guaranteeing some level of optimality. In response to this, a number of different simplified models have been ...