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...

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 deals with the study and comparison of passive and active landing gear system of  the aircraft and dynamic responses due to runway irregularities while the aircraft is taxying. The dynamic load and vibration caused by the unevenness of runway will result in airframe fatigue, discomfort of passengers and the reduction of the pilot’s ability to control the aircraft. One of the objectiv...

This technical article investigates the linear quadratic regulator (LQR) design for continuous-time positive systems. Based on systems theory and Lyapunov theory, solvability optimality of positivity-preserving LQR problem are analyzed through lens optimization, two projection theorems derived single-input multi-input systems, respectively, which paves way developing a projected gradient descen...

Linear Quadratic Regulator (LQR) design is one of the most classical optimal control problems, whose well-known solution an input sequence expressed as a state-feedback. In this work, finite-horizon and discrete-time LQR solved under stability constraints uncertain system dynamics. The resulting feedback controller balances cost value closed-loop stability. Robustness modeled using scenario app...

In this paper, we present a discussion of the proper orthogonal decomposition (POD) as applied to simulation and feedback control of the one dimensional heat equation. We provide two examples of input collections to which the POD process is applied. First, we apply POD directly to the nite element basis of linear B-splines. Next we additionally include time snapshots. We show that although the ...

Linear Quadratic Regulator (LQR) is an optimal multivariable feedback control approach that minimizes the excursion in state trajectories of a system while requiring minimum controller effort. The behaviour of a LQR controller is determined by two parameters: state and control weighting matrices. These two matrices are main design parameters to be selected by designer and greatly influence the ...

This paper is a contribution to the theory of the infinitehorizon linear quadratic regulator (LQR) problem subject to inequality constraints on the inputs and states, extending an approach first proposed by Sznaier and Damborg [16]. A solution algorithm is presented, which requires solving a finite number of finite-dimensional positive definite quadratic programs. The constrained LQR outlined d...

The paper presents a novel systematic procedure for the design of excitation based stabilisers for large-scale interconnected electric power systems. The design method is based on newly obtained results in optimal linear quadratic regulator (LQR) design, and is superior to previously reported LQR approaches. A model of a fivemachine interconnected power system which includes detailed representa...

Double Inverted Pendulum is a nonlinear system, unstable and fast reaction system. Double Inverted Pendulum is stable when its two pendulums allocated in vertically position and have no oscillation and movement and also inserting force should be zero. The aim of the paper is to design and performance analysis of the double inverted pendulum and simulation of Linear Quadratic Regulator (LQR) con...