Sliding mode control of linear multiple-input multiple-output systems with mismatched uncertainties

Author(s):  
Shenghui Guo ◽  
Bin Jiang ◽  
Fanglai Zhu ◽  
Hongtian Chen
Author(s):  
Yuhui Wang ◽  
Qingxian Wu ◽  
Xinyan Liu

A robust fuzzy sliding mode controller is presented for a multiple-input–multiple-output (MIMO) Dutch-Roll system with nonaffine inputs and external disturbances. An integrating factor with a nonlinear saturation function is introduced to construct a nonlinear integral sliding mode (NISM) surface to provide better transient response than traditional sliding mode control. Fuzzy logic systems are employed to approximate the unknown nonaffine part of the system directly. Based on Lyapunov method, the tracking errors are guaranteed to be asymptotically stable with the additional adaptive compensation terms. To verify the feasibility and effectiveness of the proposed controller, the Dutch-Roll system is presented for simulation.


Author(s):  
D W Qian ◽  
X J Liu ◽  
J Q Yi

Based on the sliding mode control methodology, this paper presents a robust control strategy for underactuated systems with mismatched uncertainties. The system consists of a nominal system and the mismatched uncertainties. Since the nominal system can be considered to be made up of several subsystems, a hierarchical structure for the sliding surfaces is designed. This is achieved by taking the sliding surface of one of the subsystems as the first-layer sliding surface and using this sliding surface and the sliding surface of another subsystem to construct the second-layer sliding surface. This process continues till the sliding surfaces of all the subsystems are included. A lumped sliding mode compensator is designed at the last-layer sliding surface. The asymptotic stability of all of the layer sliding surfaces and the sliding surface of each subsystem is proven. Simulation results show the validity of this robust control method through stabilization control of a system consisting of two inverted pendulums and mismatched uncertainties.


Author(s):  
Ayman A. Nada ◽  
Abdullateef H. Bashiri

Trajectory tracking robotic systems require complex control procedures that occupy less space and need less energy. For these reasons, the development of computerized and integrated control systems is crucial. Recently, developing reconfigurable Field Programmable Gate Arrays (FPGAs) give a prominence of the complete robotic control systems. Furthermore, it has been found in the literature that the model-based control methods are most efficient and cost-effective. This model must interpret how multiple moving parts interact with each other and with their environment. On the other hand, MultiBody Dynamic (MBD) approach is considered to solve these difficulties to attain the models accurately. However, the obtained equations of motion do not match the well-developed forms of control theory. In this paper, the MBD model of a mobile robot is established; and the equations of motion are reshaped into their control canonical form. Additionally, the Sliding Mode Control (SMC) theory is used to design the control law. The constraints’ manifold, which is available in the equations of the MBD system, are imposed systematically as the switching surface. SMC is applied because of its ability to address multiple-input/multiple-output nonlinear systems without resorting any approximations. Eventually, the experimental verification of the proposed algorithm is carried out using DaNI mobile robot in which, a Reconfigurable Input/Output (RIO) board is used to reorient the control design, so that can fit the required trajectory. The control law is implemented using LabVIEW software and NI-sbRIO-9631 with acceptable performance. It is obvious that the integration of MBD/SMC/FPGA can be used successfully to develop embedded systems for the applications of trajectory tracking robotics.


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