We present a comparison of a LQR controller and Q-learning on a simulation of a triple inverted pendulum. While the LQR controller was able to balance the pendulum, Qlearning was unable due to memory and computing limitations. We examine the strengths and weaknesses of each method and compare their abilities.

A hybrid proportional double derivative and linear quadratic regulator (PD2-LQR) controller is designed for altitude (z) attitude (roll, pitch, yaw) control of a quadrotor vehicle. The derivation mathematical model the formulated based on Newton–Euler approach. An appropriate controller’s parameter must be obtained to obtain superior performance. Therefore, we exploit advantages nature-inspired...

A framework for the design and simulation of a building envelope and an HVAC system is presented. Building models are first captured in Modelica to leverage its rich building component library and then imported into Simulink to exploit its strong control design environment that enables efficient control design and implementation. Four controllers with different computational intensity are consi...

In this paper we compare the behaviour of the LQR solution for a finite platoon model with its infinite version. We give examples where these are similar and some where they are quite different. For the scalar case we obtain sufficient conditions for the LQR solutions to be similar by relating the Toeplitz approximations to circulant approximating systems.

A tape transport system consisting of a take-up reel servo, a supply-reel servo, and a capstan servo is proposed. The mathematical model of the system is derived. Two well know controllers – Linear Quadratic Regulator (LQR) and P/PI controller, are designed to regulate the output of the system. An input gain matrix N is calculated and applied to the LQR to eliminate steady-state offset. Simulat...

This paper provides a strategy to schedule a real time distributed system. Modifications on frequency transmission (task periods) of system’s individual components impact on system quality performance. In this work the authors propose a dynamic linear time invariant model based upon frequency transmission of agents in a distributed system and using LQR control approach to bring the system into ...

This paper discusses a multiple input and multiple output (MIMO) model to simulate a two link rigid manipulator. The mathematical modeling of two link rigid manipulator is obtained by using Euler’s Lagranges method.The model is non linear and the response is unbounded. Proportional Integral Derivative (PID) and Linear quadratic regulator(LQR ) are designed and the responses are compared using M...

The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by fractional-order differential equation. First, as an example of such system, viscoelastically damped structure is selected. Second, LQR designed for in which terms are contained the equation motion. An iteration-based method solving algebraic Riccati proposed order obtain feedback gains LQR. ...

Active Queue Management (AQM) takes a trade-off between link utilization and delay experienced by data packets. From control point of view, it is rational to regard AQM as a typical regulation system. In this paper, two types of controllers, i.e. Sliding Mode Variable Structure (SMVS) controller and optimal Linear Quadratic Regulator (LQR) are designed for AQM. Simulation results conform the ro...