欠驱动惯性轮摆系统全局滑模控制

针对欠驱动惯性轮摆的镇定控制问题,本文提出了一种新型的滑模鲁棒控制策略,可在系统受到不确定性与外界干扰影响的情况下,实现全局渐近镇定控制.区别于现有方法,本文方法无需切换,且能将无驱动的摆杆摇起至竖直向上位置的同时,确保惯性轮回到初始位置.具体而言,首先对惯性轮摆系统的非线性模型进行非奇异坐标变换,将其变为类积分器形式.随后,根据转换后系统的形式,构造了一种新型的滑模面;经严格分析知,当系统状态处于该滑模面上时,它们将渐近收敛于平衡点.在此基础之上,设计了滑模控制律以确保系统状态始终处于该滑模面上,以实现镇定控制.最后,通过仿真验证了所提控制方法的有效性与鲁棒性,并与现有方法进行了对比.

Global sliding mode control of underactuated inertia wheel pendulum systems

For the stabilization problem of underactuated inertia wheel pendulums, a new sliding mode robust control strategy is proposed, which can achieve global asymptotic stabilization in the presence of uncertainties and disturbances. Different from existing methods, the proposed approach needs no switching between different control laws, and it can swing up the unactuated pendulum to its upright position while making the inertia wheel return to its initial position. Specifically, some nonsingular coordinate changes are performed to transform the nonlinear model into a quasi-chain-of-integrators form. Based on the transformed model, a new sliding surface is constructed, and rigorous analysis is implemented to prove the convergence of the state variables to the equilibrium point when they are kept on the sliding surface. Based on that, a sliding mode control (SMC) law is designed to keep the state variables always staying on the constructed sliding surface, in order to realize stabilization control. We validate the effectiveness and robustness of the proposed controller and compare it with existing methods through simulation results.