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Future Blog Post

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This post will show up by default. To disable scheduling of future posts, edit config.yml and set future: false.

Blog Post number 4

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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 3

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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 2

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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 1

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This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

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Stabilizing a Rotary Inverted Pendulum Based on Lyapunov Stability Theorem

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The stabilization of Rotary Inverted Pendulum based on Lyapunov stability theorem is investigated in this paper. The key of designing controls by Lyapunov method is the construction of Lyapunov function. A logarithmic function is constructed as the Lyapunov function and is compared with the usual quadratic function theoretically. The comparative results show that the constructed logarithmic function has higher numerical accuracy and convergence speed than the usual quadratic function. On this basis, the control of stabilizing rotary inverted pendulum is designed based on the constructed logarithmic function by Lyapunov method. The effectiveness of the designed control is verified by experiments, and is compared with the control designed based on quadratic function.

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Optimal Soot Blowing Strategies in Boiler Systems with Variable Steam Flow

Published:

The optimal soot blowing strategies of boiler systems with variable steam flow is investigated based on Hamilton-Jacobi-Bellman (HJB) equation in this paper. A continuous time Markov process with soot deposition mode and soot blowing mode is constructed as the mathematical model of boiler systems. In order to obtain the optimal soot blowing strategies, we propose a cost function based on the constructed boiler model, and derive the corresponding value function, which is the solution of HJB equation. In particular, the elementary properties of value function are described and proved strictly. Considering the difficulty of solving the HJB equation analytically, Kushner’s method is applied to get the numerical solution of HJB equation, and the experiment results are analyzed.

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Levitation Control of Maglev Systems Based on Cascade Control

Published:

We address the levitation control of the single-point levitation system for maglev train by using the cascade control strategy in this paper. The levitation system is divided into two subsystems, i.e., electromagnetic system and motion system. In order to stabilize the levitation system more faster and roust, we design the sliding mode controller and fuzzy Proportional Integral Derivative (PID) controller, which constitute the cascade control, to control the electromagnetic system and motion system, respectively. The effectiveness and robustness of the cascade control are also verified in the numerical simulations.

teaching

2023春季学期 现代控制理论

本科生专业基础课程, 中北大学,自动化系, 2023

课程性质与任务

《现代控制理论》是自动化专业的专业教育课程。本课程是在经典控制论基础上,基于状态空间方法研究系统状态的运动规律,并按所要求的各种指标最优为目标来改变系统的运动规律。在教学过程中应力求使学生掌握现代控制理论的基本概念、基本分析和设计方法,重在提高学生分析问题、解决问题的能力和创新意识。本课程也是学生学习后续控制应用课程的理论基础课程之一,也为解决复杂的自动化领域工程问题提供基本方法。在教学过程中,还应该培养学生建立系统认识和系统运用的思维习惯,能够利用系统论的观念分析问题解决问题。