Generalized Linear Quadratic Control for a Full Tracking Problem in Aviation

Finding the Best Coefficients in the Objective Function of a Linear Quadratic Control Problem

Finding the best weights of the state variables and the control variables in the objective function of a linear-quadratic control problem is considered. The weights of these variables are considered as two diagonal matrices with appropriate size and so the objective function of the control problem becomes a function of the diagonal elements of these matrices. The optimization problem which is d...

Generalized Tracking Problem for Linear System

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 ...

The singular linear quadratic Gaussian control problem

In this paper we discuss the standard LQG control problem for linear, finite-dimensional time-invariant systems without any assumptions on the system parameters. We give an explicit formula for the infimum over all internally stabilizing strictly proper compensators and give a characterization when the infimum is attained.

Optimal Control for Descriptor Systems: Tracking Problem (RESEARCH NOTE)

Singular systems have been studied extensively during the last two decades due Abstract to their many practical applications. Such systems possess numerous properties not shared by the well-known state variable systems. This paper considers the linear tracking problem for the continuous-time singular systems. The Hamilton-Jacobi theory is used in order to compute the optimal control and associa...