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Second-order Sliding Mode Control for Linear Systems with Time-delay

Author: ZhouHaiYan
Tutor: HuangQin
School: Chongqing University
Course: Control Theory and Control Engineering
Keywords: State Delays Control Delay Supercoiled algorithm Second order sliding mode variable structure control
CLC: TP13
Type: Master's thesis
Year: 2010
Downloads: 126
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Abstract


Sliding mode variable structure control theory is an important branch of modern control theory. Variable Structure Control has a physical realization of a simple, rapid response and sliding mode uncertainties satisfy the matching conditions or interference with completely self-adaptability advantages. However, the sliding mode variable structure control the discontinuous switching characteristics will cause buffeting. Chattering phenomenon brought difficulties to the variable structure control in practical engineering applications. Second order sliding mode variable structure control not only to maintain order Sliding Mode insensitivity parameters and disturbance, and strong robustness advantages and effectively reduce the system chattering while improving the accuracy of the system's control. Delays and uncertainties practical problems prevalent in the objective world of telecommunications, transportation, electric power, chemical process, economic and engineering applications. The time lag in the control system to increase the difficulty of the theoretical analysis and engineering applications, compared to the same time with no delay systems lag makes the corresponding performance of the system deteriorates, even difficult to guarantee stability. Therefore, the second order sliding mode variable structure control design an invariance can be decomposed, of the delay uncertainties system dimensionality reduction of control appliances challenging and practical significance. The paper linear uncertain systems for the study, study exist to control the time delay and the presence of state delays two different types of linear uncertain systems with second order sliding mode variable structure design. The main research work are summarized as follows: 1. Using a linear non-singular transformation will control the time lag linear system into without delay systems; help of quadratic time optimal method, using the second order supercoiled algorithm, design a simple, easy to implement the sliding mode controller. By introducing reasonable Lyapunov function proof system is asymptotically stable. Discuss the existence of the state delay linear systems variable structure controller design of the second order sliding mode algorithm and an order sliding mode design method combining improved second-order sliding mode control, by means of the line matrix inequality (LMI) and virtual feedback sliding mode asymptotically stable, and verified through simulation algorithm. Delay network remote closed-loop control system of brushless DC motor control delays and state, respectively, Chapters III and IV controller design method, brushless DC motor remote control system is designed Second order sliding mode variable structure controller. Simulation results verify the validity and correctness of the second order sliding mode variable structure controller.

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