The aim of this work is to obtain optimal-order error estimates for the LQR (Linear-quadratic regulator) problem in a strongly damped 1-D wave equation. We consider a finite element discretization of the system dynamics and a control law constant in the spatial dimension, which is studied in both point and distributed case. To solve the LQR problem, we seek a feedback control which depends on t...

This paper addresses the problem of finding linear quadratic regulator (LQR) weights such that associated discrete-time algebraic Riccati equations admit a common optimal stabilising solution. Solving is key to designing LQR controllers stabilise switched systems under arbitrary switching, or polytopic (e.g., Takagi-Sugeno fuzzy and parameter varying systems) in entire operating region. To ensu...

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...

Direct Current (DC) motors have been extensively used in many industrial applications. Therefore, the control of the speed of a DC motor is an important issue and has been studied since the early decades in the last century. This paper presents a comparison of time response specification between conventional ProportionalIntegral-Derivatives (PID) controller and Linear Quadratic Regulator (LQR) ...

The threat of climate change and diminishing fossil fuels demands nothing short of an energy revolution, a transformation which is already underway as renewable energy markets exhibit enormous and steady growth. This paper presents design of optimal control schemes for Wind Energy Conversion Systems (WECS) based on a time scale technique. The dynamics governing the mechanical components of a va...

This paper considers the issue of linear-quadratic regulator (LQR) design for nonlinear systems with use smooth state and input transformations. The proposed methodology is considered in stabilisation task Pendubot, which based on concept feedback equivalent control systems. It turns out that it possible to find a controller ensures comparable dynamics closed-loop system vicinity set point rega...

Although it is well known that fuzzy learning controller is powerful for nonlinear systems, it is very difficult to apply a learning method if they are unstable. An unstable system diverges for impulse input. This divergence makes it difficult to learn the rules unless we can find the initial rules to make the system stable prior to learning. Therefore, we introduced LQR(Linear Quadratic Regula...

In this paper a new approach to formulation of active control of structures based on energy concepts and use of Linear Quadratic Regulator (LQR) has been proposed. The suggested method eliminates the trial and error procedure in finding appropriate gain matrices in active control of structures. In this method the gain matrix is obtained by considering the energy of the structure and it remains ...

In this paper the active vibration control of a four-story shear frame instrumented with piezoelectric actuators is presented. The piezoelectric actuators are hosted on the columns in two manners and the produced controlling forces by actuators are considered in the equation of motion. The smart structure modeling and control design is carried out using MATLAB software in state space form. Subs...