Switching controller design for linear time invariant plant with a single I/O delay

ABSTRACT

To deal with the problem of conflicting requirements that cannot be satisfied by only a single LTI controller, this paper focuses on the design of a switching controller, which includes several stabilising linear time-invariant (LTI) controllers designed independently with different control performance criteria, for a specific LTI plant with a single I/O delay. The switching controller design procedure is divided into three steps. First, using simple loop shifting arguments, the design problem is reducible to an equivalent delay-free one. Second, traditional LTI controller synthesis methods could be considered independently for the delay-free plant. Third, based on a quadratically stable state space realisation method, a Youla parameter including a switching strategy with these controllers is designed to guarantee different requirements. Finally, a numerical example is provided to demonstrate the validity and efficiency of the approach.

KEYWORDS:

• Switching control
• stability
• time delay
• linear matrix inequalities

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by YangFan Innovative & Entepreneurial Research Team Project of Guangdong Province [Grant No. 2016YT03G125]; National Nature Science Foundation of China [Grant No. 61803161]; Natural Science Foundation of Guangdong Province [Grant No. 2017A030313385]; Science and Technology Planning Project of Guangdong Province [Grant Nos. 2017B090914001; 2017A040405023; 2017A040403064; 2017B090901040; 2017B030306017]; Science and Technology Program of Guangzhou [Grant No. 201707010152].