论文标题

滑动模式PID控制器的设计,具有改进的非线性系统的触及法律

Design of Sliding Mode PID Controller with Improved reaching laws for Nonlinear Systems

论文作者

Singh, Kirtiman

论文摘要

在本论文中,在滑动模式控制(SMC)中的高级设计技术以PID(基于比例综合衍生)型滑动表面的关注,基于基于滑动表面的滑动模式控制,并使用改良的粒子颗粒优化(MPSO)进行了改进的非线性触发率达到的功率率指数达到定律。为了直接处理大型非线性,基于PID型滑动表面的滑动模式控制器已在此工作中设计,在此工作中,整数术语可确保快速有限的收敛时间。可以使用修改的PSO估算各种修改结构的控制器参数,该参数用作离线优化技术。实施了各种涉及法律,导致拟议的提高了指数级的功率利率达到法律,这也改善了有限的收敛时间。为了实现所提出的算法,必须将非线性数学模型解密而无需线性化,并用于仿真目的。使用模拟研究他们的性能以证明所提出的行为。通过使用边界方法和二阶滑动模式方法,已经克服了聊天的问题。还提出并实施了基于PD表面的SMC补偿的PI-Type滑动表面二阶滑动模式控制器。已使用Lyapunov稳定性标准分析了所提出的算法。该方法的鲁棒性是使用模拟结果提供的,包括干扰和系统参数的10%变化。最后,实现了基于过程控制的硬件(锥形储罐系统)。

In this thesis, advanced design technique in sliding mode control (SMC) is presented with focus on PID (Proportional-Integral-Derivative) type Sliding surfaces based Sliding mode control with improved power rate exponential reaching law for Non-linear systems using Modified Particle Swarm Optimization (MPSO). To handle large non-linearities directly, sliding mode controller based on PID-type sliding surface has been designed in this work, where Integral term ensures fast finite convergence time. The controller parameter for various modified structures can be estimated using Modified PSO, which is used as an offline optimization technique. Various reaching law were implemented leading to the proposed improved exponential power rate reaching law, which also improves the finite convergence time. To implement the proposed algorithm, nonlinear mathematical model has to be decrypted without linearizing, and used for the simulation purposes. Their performance is studied using simulations to prove the proposed behavior. The problem of chattering has been overcome by using boundary method and also second order sliding mode method. PI-type sliding surface based second order sliding mode controller with PD surface based SMC compensation is also proposed and implemented. The proposed algorithms have been analyzed using Lyapunov stability criteria. The robustness of the method is provided using simulation results including disturbance and 10% variation in system parameters. Finally process control based hardware is implemented (conical tank system).

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