Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The primary concern of the present paper is the regulation of an uncertain heat process with collocated boundary sensing and Neumann-type actuation. It exhibits an unknown constant diffusivity parameter and it is affected by a smooth boundary disturbance, which is possibly unbounded in magnitude. The proposed robust synthesis is formed by a discontinuous version of a PI controller. It is applied here for the global asymptotic stabilization of an infinite dimensional system in a suitable Sobolev space. The Lyapunov based stability proof is accompanied by a set of simple tuning rules for the controller parameters. The effectiveness of the developed scheme is supported by simulation results.
['Yury Orlov', 'Alessandro Pisano', 'Elio Usai']
I am writing a research paper on a idea Robust stabilization of an uncertain diffusion process with boundary control and sensing
[{"from": "human", "value": "I am writing a research paper on a idea Robust stabilization of an uncertain diffusion process with boundary control and sensing"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The primary concern of the present paper is the regulation of an uncertain heat process with collocated boundary sensing and Neumann-type actuation. It exhibits an unknown constant diffusivity parameter and it is affected by a smooth boundary disturbance, which is possibly unbounded in magnitude. The proposed robust synthesis is formed by a discontinuous version of a PI controller. It is applied here for the global asymptotic stabilization of an infinite dimensional system in a suitable Sobolev space. The Lyapunov based stability proof is accompanied by a set of simple tuning rules for the controller parameters. The effectiveness of the developed scheme is supported by simulation results."}]