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Optimization of DC Motor Speed Control Using LQR Technique

机译:使用LQR技术优化直流电动机速度控制

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A design for speed control system of DC motor with less control efforts and minimum cost is a major challenging task for industrial applications. As compared to classical speed control techniques for DC motor, Linear Quadratic Regulator (LQR) controller gives good controlled behaviour of the system by minimizing the deviation in speed. In this paper LQR control mechanism has been proposed to control the speed of DC motor using state space theory. In LQR controller, the selection of weighted matrix Q and R of performance index for Algebraic Riccati equation (ARE) is a major task. In this paper Pole Placement controller and LQR controller are designed and implemented for DC motor speed control. The simulation results obtained in MATLAB for both Pole placement controller design and LQR technique are compared in terms of transient and steady state behaviour. It is observed that LQR controller gives good optimal response with better transient and steady state responses as compared to pole placement controller. LQR controller gives the better dynamic response, reduces steady state error and also resists power supply disturbance.
机译:直流电动机的速度控制系统的设计,其控制工作量少,成本低,是工业应用中一项艰巨的任务。与用于直流电动机的经典速度控制技术相比,线性二次调节器(LQR)控制器通过最小化速度偏差来提供良好的系统控制性能。本文提出了基于状态空间理论的LQR控制机制来控制直流电动机的速度。在LQR控制器中,代数Riccati方程(ARE)的性能指标的加权矩阵Q和R的选择是一项主要任务。本文设计并实现了用于直流电动机速度控制的极点布置控制器和LQR控制器。在瞬态和稳态行为方面,比较了在MATLAB中针对极点布置控制器设计和LQR技术获得的仿真结果。可以观察到,与极点放置控制器相比,LQR控制器具有良好的最佳响应以及更好的瞬态和稳态响应。 LQR控制器具有更好的动态响应,减少了稳态误差,还可以抵抗电源干扰。

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