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 ...