A Concise Method of Pole Placement to Stabilize the Linear Time Invariant MIMO System

被引:0
作者
Jacob, Justin [1 ]
Das, Sreya [1 ]
Khaneja, Navin [2 ]
机构
[1] Indian Inst Technol, Dept Syst & Control Engn, Mumbai 400076, Maharashtra, India
[2] Indian Inst Technol, Syst & Control Engn Dept, Mumbai 400076, Maharashtra, India
来源
2019 SIXTH INDIAN CONTROL CONFERENCE (ICC) | 2019年
关键词
controllability; cyclic subspace; Hurwitz; observability; similarity transformation; stability; state feedback;
D O I
10.1109/icc47138.2019.9123210
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Stabilization of linear time-invariant multi-input-multi-output (LTI-MIMO) systems is presented distinctively and efficiently in this paper. The idea is to decouple the system state matrix depending on different inputs and outputs using the special canonical transformation proposed. Due to the decoupled form of the observer based controller system, it's possible to use separate transformation for observer and controller design. Since the decoupled state matrix resembles the single-input-single-output (SISO) case, the generalized equation for the system is first obtained, and then it's extended to the MIMO system. The computational complexity in getting the controller and observer gain matrix coefficients are further reduced due to the special form of gain matrices taken.
引用
收藏
页码:35 / 39
页数:5
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