基于最优性概念的自适应控制系统的再设计

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) Pub Date : 1999-12-07 DOI:10.1109/CDC.1999.827783

Y. Miyasato

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引用次数: 42

摘要

导出了一类不仅渐近稳定而且对某些有意义的代价函数是最优或次最优的自适应控制系统。通过将Lyapunov函数与Hamilton-Jacobi (-Isaacs)方程的解联系起来，求解了三类自适应最优控制问题(Type 1/spl sim/3)，并构造了广义自适应控制问题的自适应/spl Hscr//sup 2/ (Type 2)和/spl Hscr//sup /spl infin// (Type 1和Type 3)最优(次最优)控制系统。

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Redesign of adaptive control systems based on the notion of optimality

A class of adaptive control systems which are not only asymptotically stable but also optimal or sub-optimal to some meaningful cost functionals, are derived. By relating Lyapunov functions with solutions of Hamilton-Jacobi (-Isaacs) equations, three types of adaptive optimal control problems are solved (Type 1/spl sim/3), and the adaptive /spl Hscr//sup 2/ (Type 2) and /spl Hscr//sup /spl infin// (Type 1 and 3) optimal (sub-optimal) control systems are constructed for generalized adaptive control problems.

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Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)

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