Feedback Stabilization and Output Tracking for Discrete-Time Lipschitz Nonlinear Systems via Iterative Convex Approximations
Feedback Stabilization and Output Tracking for Discrete-Time Lipschitz Nonlinear Systems via Iterative Convex Approximations
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DOI：
10.23919/acc50511.2021.9483170
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发表时间：
2021-04
期刊：
影响因子：
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通讯作者：
Sebastian A. Nugroho;Suyash C. Vishnoi;A. Taha;C. Claudel
中科院分区：
文献类型：
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作者：
Sebastian A. Nugroho;Suyash C. Vishnoi;A. Taha;C. Claudel
由于动态系统中包含的非线性及其规模，不稳定非线性系统的镇定和跟踪控制是具有挑战性的工程问题。在过去的几十年中，许多基于非线性的控制设计的动态系统，其中的非线性属于Lipschitz函数已被提出。然而，大多数的方法只注重于输出反馈，因此，状态反馈设计仍然很不发达。为此，本文致力于离散时间Lipschitz非线性系统的全状态反馈控制器的设计问题。此外，我们提出了一个简单的迭代方法，以改善闭环性能的收敛性。后来证明，我们的方法可以方便地扩展和利用输出跟踪。
The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs for dynamic systems in which the nonlinearity belongs to Lipschitz functions have been proposed. However, most of them only focus on output feedback and consequently, state feedback design remains less developed. To that end, this paper is dedicated to the problem of full-state feedback controller design for discrete-time Lipschitz nonlinear systems. In addition, we present a simple iterative method for improving the convergence of the closed-loop performance. It is later demonstrated that our approach can be conveniently extended and utilized for output tracking.