A weighted summation of Integral of Time Multiplied Absolute Error (ITAE) and Integral of Squared Controller Output (ISCO) minimization based time domain optimal tuning of fractional-order (FO) PID or PIλDμ controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique that minimizes the change in trajectories of the state variables and the control signal. A class ...

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...

Turbocharged diesel engines are now being used in every automobile by a lot of automobile manufacturing companies. A turbocharged diesel engine (TDE) equipped with variable geometry turbocharger and exchange gas recirculation is explained in detail. A linear turbocharged diesel engine model is presented and its control techniques are explained in detail. Controllers are designed using the linea...

A quadcopter control system is a fundamentally difficult and challenging problem because its dynamics modelling highly nonlinear, especially after accounting for the complicated aerodynamic effects. Plus, variables are interdependent coupled in nature. There six controllers studied analysed this work which (1) Proportional–Integral–Derivative (PID), (2) Proportional-Derivative (PD), (3) Linear ...

This research deals to introduce a new method for generalizing the well-famed Quantitative Feedback Theory (QFT) in granting robustness of Feedback linearization on nonlinear systems. In this new scheme, first applying feedback linearization, with selecting operating points in domain of system parameter's variations, nonlinear systems replaced with linear systems, then robust controller is desi...

Designing controller for the Multi Input Multi Output (MIMO) process is difficult because of the changes in process dynamics and interactions between process variables. This paper presents the approach to design a Linear Quadratic Gaussian (LQG) Controller for a multivariable process with a transmission zero using Linear Quadratic Regulator (LQR) and Kalman’s state estimation techniques. The pe...

We revisit in this paper the discrete-time linear quadratic regulator (LQR) problem from perspective of receding-horizon policy gradient (RHPG), a newly developed model-free learning framework for control applications. provide fine-grained sample complexity analysis RHPG to learn that is both stabilizing and -close optimal LQR solution, our algorithm does not require knowing initialization. Com...

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. ...

Non-linear characteristic of tire forces is the main cause of vehicle lateral dynamics instability, while direct yaw moment control is an effective method to recover the vehicle stability. In this paper, an optimal linear quadratic regulator (LQR) controller for roll-yaw dynamics to articulated heavy vehicles is developed. For this purpose, the equations of motion obtained by the MATLAB sof...