Robust stability and stabilization of uncertain linear positive systems via Integral Linear Constraints: L1- and Linfinity-gains characterization
Robust stability and stabilization of uncertain linear positive systems via Integral Linear Constraints: L1- and Linfinity-gains characterization
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发表时间：
2012-04
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通讯作者：
Corentin Briat
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作者：
Corentin Briat
利用共正线性李雅普诺夫函数沿着耗散理论对不确定线性正系统进行稳定性分析和控制。与通常的线性系统的结果，线性供应率在这里使用的鲁棒性和性能分析使用L1和Linfinity增益。鲁棒稳定性分析使用积分线性约束（ILC）的几类不确定性进行了讨论。该方法扩展到鲁棒镇定和性能优化。所得到的结果表示为鲁棒线性规划问题，等价地变成有限维的使用Handelman定理。提供了几个例子来说明。
Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for robustness and performance analysis using L1- and Linfinity-gains. Robust stability analysis is performed using Integral Linear Constraints (ILCs) for which several classes of uncertainties are discussed. The approach is then extended to robust stabilization and performance optimization. The obtained results are expressed in terms of robust linear programming problems that are equivalently turned into finite dimensional ones using Handelman's Theorem. Several examples are provided for illustration.