Control of FASs
摘要
This chapter concentrates on the state feedback control of FASs. Firstly, the huge advantage of the FAS approach of arbitrary assignment of closed-loop dynamics, offered by the full-actuation feature of the proposed single-order and multi-order global FASs, is revealed. As a particular demonstration, the problem of finite-time stabilization for single-order and multi-order global FASs is treated. Secondly, the popular problem of replacement of the open-loop nonlinear dynamics with a desired linear one is discussed. A general and unified control approach for global FASs is proposed, which produces an LTI closed-loop system with an arbitrarily desired eigenstructure. Thirdly, it is reasoned that, with the FAS approach, many nonlinear problems can be converted into linear ones, and the feature is stressed for both deterministic systems and uncertain systems. Fourthly, the elementary problem of FAS approach, to which the control of almost all systems treated with the FAS approach is finally reduced, is examined. A complete and explicit parametric solution to this elementary problem is introduced. Finally, a basic procedure for the FAS approach is provided, which is illustrated by two examples.