ULTIMATE BOUNDEDNESS CONTROL FOR UNCERTAIN DISCRETE-TIME-SYSTEMS VIA SET-INDUCED LYAPUNOV FUNCTIONS

被引:293
作者
BLANCHINI, F
机构
[1] Dipartimento di Matematica ed Informatica, 33100 Udine
关键词
D O I
10.1109/9.272351
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this note, linear discrete-time system affected by both parameter and input uncertainties are considered. The problem of the synthesis of a feedback control, assuring that the system state is ultimately bounded within a given compact set containing the origin with an assigned rate of convergence, is investigated. It is shown that the problem has a solution if and only if there exists a certain Lyapunov function which does not belong to a preassigned class of functions (e.g., the quadratic ones), but it is determined by the target set in which ultimate boundedness is desired. One of the advantages of this approach is that we may handle systems with control constraints. No matching assumptions are made. For systems with linearly constrained uncertainties, it is shown that such a function may be derived by numerically efficient algorithms involving polyhedral sets. The resulting compensator may be implemented as a linear variable-structure control.
引用
收藏
页码:428 / 433
页数:6
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