Output-feedback control for sampled-data systems with variable sampling rate

ABSTRACT

In this paper, we propose design method of controller for sampled-data systems with variable sampling rate. First, we give design method for both H₂ and H_∞ controller. For H₂ control, performance of the system is introduced according to a standard sampled-data setting. A discrete-time H₂ control problem is employed for solving the original problem. Its solvability condition is then established as a parameter-dependent linear matrix inequality. A probabilistic approach is taken for coping with the parameter-dependency. H_∞ controller is designed by almost the same manner. Applying both results, we have design method for multi-objective control.

KEYWORDS:

• Sampled-data control
• H₂ control
• H_∞ control
• multi-objective control
• randomised algorithm

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by JSPS KAKENHI [grant number JP26420416].