This paper deals with the Linear Quadratic Regulator (LQR) problem subject to descriptor systems for which the semidefinite programming approach is used as a solution. We propose a new sufficient condition in terms of primal dual semidefinite programming for the existence of the optimal state-control pair of the problem considered. The results show that semidefinite programming is an elegant me...

An active control strategy for controlling impact response in composite plates is proposed. A linear quadratic regulator (LQR) controller is designed based on a reduced-order model that captures the essential dynamics of the system. Simulations results show that the proposed controller reduces the energy transferred to the structure. Thus, the possibility of impact-induced structural damage is ...

A decentralized control algorithm for structural control system design has been developed. This novel approach is termed market-based control. As a potential alternative to the classical Linear Quadratic Regulator (LQR), this method decentralizes the decision process of the control system and allows for independent and autonomous control formulation to occur directly upon the control device. Th...

We use upper and lower solutions to study the existence and properties of solutions to differential Riccati equations arising from stochastic linear quadratic regulator (LQR) problems. The main results include an interpretation of upper and lower solutions, comparison theorems, an upper-lower solution theorem, necessary and sufficient conditions for existence of solutions, an estimation of maxi...

In this study, modeling and LQR control of a reaction wheel inverted pendulum system is described. The model created by using 3D CAD platform exported to Simscape Multibody. multibody linearized derive state-space representation. A (Linear-quadratic regulator) controller designed applied for balance the pendulum. results show that deriving representation from an easy effective way dynamic syste...

This article presents the design and real-time implementation of an optimal collaborative approach to obtain desired trajectory tracking two Degree Freedom (DOF) pantograph end effector position. The proposed controller constructively synergizes Proportional Integral Derivative (PID) Linear Quadratic Regulator (LQR) by taking their weighted sum. Particle Swarm Optimization (PSO) algorithm is op...

In this paper, the seven degrees of freedom (DOF) nonlinear system model articulated vehicles, including vehicle dynamics model, tire and hydraulic steering linearized ideal reference is constructed. A layered stability controller for built. The particle swarm optimization (PSO)-based variable parameter linear quadratic regulator (LQR) upper-level yaw torque lower-level distributor based on pri...

The positive buoyancy diving autonomous vehicle combines the features of an Unmanned Surface Vessel (USV) and Autonomous Underwater Vehicle (AUV) for marine measurement monitoring. It can also be used to study reasonable efficient techniques underwater robots. In order optimization low power consumption high efficiency cruise motion vehicle, its dynamic modeling has been established. optimal cr...

This paper derives linear quadratic regulator (LQR) results for boundary controlled parabolic partial differential equations (PDEs) via weak-variations. Research on optimal control of PDEs has a rich 40-year history. This body of knowledge relies heavily on operator and semigroup theory. Our research distinguishes itself by deriving existing LQR results from a more accessible set of mathematics...