An optimal trade-off design for fractional order (FO)-PID controller is proposed with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain objectives. A class of delayed FO systems with single non-integer order element, exhibiting both sluggish and oscillatory open loop responses, have been controlled here. The FO time delay processes are handled within a multi-o...

This paper deals with the design and evaluation of a robust controller for static VAR compensator (SVC) in remote industrial power systems to enhance the voltage profile for three-phase single cage induction motor (SCIM) loads. The controller design is based on H∞ theory to deal with uncertainties arising in industrial network modelling. &#10The performance of the H∞ controller has been evaluat...

A current source converter (CSC) based static synchronous compensator (STATCOM) is a shunt flexible AC transmission system (FACTS) device, which has a vital role as a stability support for small and large transient instability in an interconnected power network. A robust linear quadratic regulator (LQR) based controller for CSCSTATCOM is proposed. In this paper, LQR based CSC-STATCOM is designe...

When designing a controller, the very first step is mathematical modeling of the concerned plant. As we know that during this mathematical modeling several mathematical approximation, uncertainties in the form of system parameter variations, plant nonlinearities and disturbances are involved. Although the conventional PID controller is vastly used controller but it is linear in nature thus it d...

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 softwar...

The rotary inverted pendulum system was a highly nonlinear model, multivariable and absolutely unstable dynamic system. This paper presents hybrid control method for swing up and LQR control method for the stabilization. The flexibility of the hybrid control method based on the selection of heuristic swing up controller and energy swing up controller at the different positions of pendulum. The ...

ROTATIONAL DOUBLE INVERTED PENDULUM Name: Li, Bo University of Dayton Advisor: Dr. Raúl Ordóñez The thesis deals with the stabilization control of the Rotational Double Inverted Pendulum (RDIP) System. The RDIP is an extremely nonlinear, unstable, underactuated system of high order. A mathematical model is built for the RDIP with the Euler-Lagrange (E-L) equation. A Linear Quadratic Regulator (...

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 ...

Wide-area control (WAC) has been shown to be an effective tool for damping low-frequency oscillations in power systems. In the current state of art, WAC is challenged by two main factors namely, scalability of design and complexity of implementation. In this paper we present a control design called control inversion that bypasses both of these challenges using the idea of clustering. The basic ...