ON CONTROLLING GENERALIZED STATE-SPACE (DESCRIPTOR) SYSTEMS

被引:6
作者
LOVASSNAGY, V [1 ]
POWERS, DL [1 ]
YAN, HC [1 ]
机构
[1] CLARKSON UNIV,DEPT MATH & COMP SCI,POTSDAM,NY 13676
关键词
FINAL STATE - GENERALIZED STATE-SPACE - INITIAL STATE - TIME-INVARIANT CONTROL;
D O I
10.1080/00207178608933537
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Linear time-invariant control systems of the form Edx/dt equals Ax plus Bu are considered where E and A are not necessarily square matrices. Any vector x(t//0) that can be obtained as a solution of the system for some u(t) and some t equals t//0, is termed an 'admissible initial state' and it is assumed that the system has a unique solution for any input and for any admissible initial state. The problem to be solved is this: find an input u(t) that drives the system from an admissible initial state to a prescribed final state in a given time t//f greater than 0. If the basic assumption regarding uniqueness of solutions holds, the problem of controlling the given generalized state-space (descriptor) system can be reduced to a standard control problem involving an 'ordinary' state-space system of simple form. Then, if the 'ordinary' system is completely controllable, a desired input can be calculated from a well-known formula.
引用
收藏
页码:1271 / 1281
页数:11
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