This chapter will consider two discrete time mixed LQR/ H∞ control problems. One is the discrete time state feedback mixed LQR/ H∞ control problem, another is the non-fragile discrete time state feedback mixed LQR/ H∞ control problem. Motivation for mixed LQR/ H∞ control problem is to combine the LQR and suboptimal H∞ controller design theories, and achieve simultaneously the performance of the...

Recently the applications of unmanned systems are steadily increasing. Unmanned Surface Vessels (USV) can be used for military and rescue purposes. This paper designs a Fuzzy-LQR controller for Heading control of the USV system. A new analysis of the fuzzy system behavior presented helps to make possible precise integration of LQR features into fuzzy control. This Fuzzy-LQR controller is used t...

In this paper the mathematical model representing the dynamic of a Unmanned Aerial Vehicle (UAV) is studied in order to analyse its behaviour. In order to stabilize the entire system, linear Quadratic Regulator (LQR) control is used in such a way to set both PD and PID controls in position variables. A set simulation is performed to carry out the results for linear and non linear models. The LQ...

The goal of this paper is to study a connection between the finite-horizon Kalman filtering and the LQR problems for discrete-time LTI systems. Motivated from the recent duality results on the LQR problem, a Lagrangian dual relation is used to prove that the Kalman filtering problem is a Lagrange dual problem of the LQR problem.

Linear Quadratic Regulator (LQR) is widely used in many practical engineering fields due to good stability margin and strong robustness. But there is little literature reports the technology that has been used to control the flying wing unmanned aerial vehicles (UAV). In this paper, aiming at the longitudinal static and dynamic characteristics of the flying wing UAV, LQR technology will be intr...

In this paper some new results concerning linear quadratic regulator (LQR) design for lossless systems are proved. The first result gives a necessary and sufficient condition which allows to obtain directly the optimal gains of an LQR problem for a lossless system, without solving the CARE equation, when a particular quadratic index is considered. The given results can also be viewed as an inve...

This paper presents the modelling and simulation for optimal control design of nonlinear inverted pendulum-cart dynamic system using Proportional-Integral-Derivative (PID) controller and Linear Quadratic Regulator (LQR). LQR, an optimal control technique, and PID control method, both of which are generally used for control of the linear dynamical systems have been used in this paper to control ...

Heat exchanger networks present an interesting control problem due to coupling among process streams. In this work, the linear quadratic regulator (LQR), a feedback optimal control technique, is used to control stream temperatures on a laboratory scale heat exchanger network, through bypass manipulation, in a multivariable system. The LQR design was based on a mathematical model of the plant an...

This paper is concerned with the linear quadratic regulation (LQR) problem for linear discrete-time systems with multiple delays in a single input channel. Although the LQR problem for discrete-time systems with single delay in each of the multiple input channels has been studied in existing literature, the problem to be addressed in this paper is known to be very difficult and has not been wel...

According to the existed structure and algorithm of extension controller, proposed an improved extension control algorithm based on the Optimal Control, which was named LQR-EC, and applied to a SIMO system—Crane-Double Pendulum System. And, using MATLAB simulation platform to study the effect of the LQR—EC Algorithm. The result shows that, the LQR-EC Algorithm not only has a simple theory, but ...