State-Feedback Stabilization for High-Order Output-Constrained Switched Nonlinear Systems
针对输出受限的切换系统，提出一种公共切线型障碍李雅普诺夫函数，结合加幂积分器技术设计状态反馈镇定律，使闭环系统渐近稳定且不违反输出约束。
For output-constrained switched systems, uniformly local stabilization problem via state feedback is addressed. A unified tool, a common tangent-type barrier Lyapunov function (Tan-BLF), is developed to deal with the stabilization problem of switched systems and to cope with constraints imposed on system output with or without. Then, combining adding a power integrator technique (APIT) and the developed common barrier Lyapunov function, state-feedback stabilizing laws are designed systematically to make the resultant closed-loop switched systems asymptotically stable while preventing the violation of output constraints. The efficiency of the proposed method is illustrated by numerical results.