TL;DR
This paper presents a comprehensive approach to decoupling controllable linear time-invariant systems, deriving conditions for decoupling, stability, and pole assignment, supported by illustrative examples.
Contribution
It introduces new necessary and sufficient conditions for system decoupling and provides a static state feedback expression ensuring stability of uncontrollable parts.
Findings
Derived necessary and sufficient conditions for decoupling.
Presented a static state feedback expression for decoupling.
Validated the approach with illustrative examples.
Abstract
In this paper, some preliminaries about Morgan problem, signal flow graph and controllable linear time-invariant standard system are first introduced in detail. In order to synthesize the necessary and sufficient condition for decoupling system, the first and second necessary conditions, and a sufficient condition for decoupling a controllable linear time-invariant system are secondly analyzed respectively. Therefore, the nonregular static state feedback expression for decoupling system that ensures the internal stability of the uncontrollable subsystem of the decoupled system at the same time is deduced. Then the pole assignment for the controllable subsystem of a decoupled system while ensuring its decoupled state is introduced. Finally, two examples combined with their corresponding signal flow graphs show the simplicity and feasibility of the necessary and sufficient condition for…
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Taxonomy
TopicsStability and Control of Uncertain Systems · Target Tracking and Data Fusion in Sensor Networks · Fault Detection and Control Systems