Nonlinear tracking over compact sets with linear dynamically varying H∞ control

被引：3

作者：

Bohacek, Stephan ^{[1
]}

Jonckheere, Edmund ^{[1
]}

机构：

[1] Dept. of Electrical Eng. - Systems, University of Southern California, 3740 McClintock Ave., Room 306, Los Angeles, CA 90089-2563, United States

来源：

SIAM Journal on Control and Optimization | 2002年 / 40卷 / 04期

关键词：

Approximation theory - Boundary conditions - Linear control systems - Mathematical models - Matrix algebra - Optimal control systems - Riccati equations - Robustness (control systems) - Set theory - State space methods - Tracking (position) - Trajectories;

D O I：

10.1137/S0363012999350584

中图分类号：

学科分类号：

摘要：

Linear dynamically varying H∞ controllers are developed for tracking natural trajectories of a broad class of nonlinear systems defined over compact sets. It is shown that the existence of a suboptimal H∞ controller is related to the existence of a bounded solution to a functional algebraic Riccati equation. Even though nonlinear systems running over compact sets could exhibit sensitive dependence on initial conditions, the Riccati solution is continuous in the suboptimal case, but it may be discontinuous in the optimal case.

引用

页码：1042 / 1071