Searching for Control Lyapunov Functions using Sums of Squares Programming

机译：使用平方和求和来搜索控制Lyapunov函数

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Construction of a Control Lyapunov Function (CLF) for a nonlinear system is generally a di cult problem, but once a CLF is found, stabilization of the system is straight-forward. In this paper, we present an algorithm that searches for CLFs for polynomial systems that are a ne in control using sums of squares programming. We also present an algorithm for searching local CLFs for the same class of nonlinear system when global asymptotic stabilization is not possible.

机译：构造非线性系统的控制李雅普诺夫函数（CLF）通常是一个难题，但是一旦找到CLF，系统的稳定就很简单了。在本文中，我们提出了一种算法，该算法使用平方和编程在控制权内的多项式系统中搜索CLF。当不可能全局渐近稳定时，我们还提出了一种算法，用于搜索同一类非线性系统的局部CLF。

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来源
《Annual Allerton Conference on Communication, Control, and Computing; 20040929-1001; Monticello,IL(US)》|2004年|P.210-219|共10页
会议地点 MonticelloIL(US)
作者
Weehong Tan; Andrew Packard;
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Department of Mechanical Engineering, University of California, Berkeley;

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正文语种 eng
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专利

1. Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming [J] . Weehong Tan, Packard A. IEEE Transactions on Automatic Control . 2008,第2期

机译：多项式和复合多项式Lyapunov函数的稳定性区域分析和平方和编程
2. LYAPUNOV FUNCTION COMPUTATION FOR AUTONOMOUS LINEAR STOCHASTIC DIFFERENTIAL EQUATIONS USING SUM-OF-SQUARES PROGRAMMING [J] . Hafstein Sigurdur, Gudmundsson Skuli, Giesl Peter, Discrete and continuous dynamical systems . 2018,第2期

机译：基于平方和规划的自治线性随机微分方程的LYAPUNOV函数计算
3. Backstepping-Based Lyapunov Function Construction Using Approximate Dynamic Programming and Sum of Square Techniques [J] . Zheng Wang, Xiaoping Liu, Kefu Liu, Cybernetics, IEEE Transactions on . 2017,第10期

机译：近似动态规划和平方和的基于Backstepping的Lyapunov函数构造
4. Searching for Control Lyapunov Functions using Sums of Squares Programming [C] . Weehong Tan, Andrew Packard, University of Illinois at Urbana-Champaign, Annual Allerton Conference on Communication, Control, and Computing . 2004

机译：搜索控制Lyapunov函数使用方格编程的总和
5. Nonlinear control analysis and synthesis using sum-of-squares programming. [D] . Tan, Weehong. 2006

机译：使用平方和编程进行非线性控制分析和综合。
6. A Sum-of-Squares and Semidefinite Programming Approach for Maximum Likelihood DOA Estimation [O] . Shu Cai, Quan Zhou, Hongbo Zhu 2016

机译：最大似然DOA估计的平方和半定规划方法
7. Stability region analysis using polynomial and composite polynomial Lyapunov functions and sum-of-squares programming [O] . Weehong Tan, Andrew Packard 2008

机译：使用多项式和复合多项式Lyapunov函数和平方和编程的稳定区域分析

Searching for Control Lyapunov Functions using Sums of Squares Programming

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