Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ABSTRACTThe use of robust design techniques such as the one based on H2 and H∞ for tuning proportional integral (PI) and proportional integral derivative (PID) controllers have been limited to address a small set of processes. This work addresses the problem by considering a wide set of possible plants, both first- and second-order continuous-time systems with time delays and zeros, leading to PI and PID controllers. The use of structured uncertainties to handle neglected dynamics allows to expand the range of processes to be considered. The proposed approach takes into account the robustness of the controller with respect to these structured uncertainties by using the small-gain theorem. In addition, improved performance is sought through the minimisation of an upper bound to the closed-loop system H∞ norm. A Lyapunov–Krasovskii-type functional is used to obtain delay-dependent design conditions. The controller design is accomplished by means of a convex optimisation procedure formulated using linear mat...
['Marcela Parada', 'Daniel Sbarbaro', 'Renato A. Borges', 'Pedro L. D. Peres']
I am writing a research paper on a idea Robust PI and PID design for first- and second-order processes with zeros, time-delay and structured uncertainties
[{"from": "human", "value": "I am writing a research paper on a idea Robust PI and PID design for first- and second-order processes with zeros, time-delay and structured uncertainties"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ABSTRACTThe use of robust design techniques such as the one based on H2 and H\u221e for tuning proportional integral (PI) and proportional integral derivative (PID) controllers have been limited to address a small set of processes. This work addresses the problem by considering a wide set of possible plants, both first- and second-order continuous-time systems with time delays and zeros, leading to PI and PID controllers. The use of structured uncertainties to handle neglected dynamics allows to expand the range of processes to be considered. The proposed approach takes into account the robustness of the controller with respect to these structured uncertainties by using the small-gain theorem. In addition, improved performance is sought through the minimisation of an upper bound to the closed-loop system H\u221e norm. A Lyapunov\u2013Krasovskii-type functional is used to obtain delay-dependent design conditions. The controller design is accomplished by means of a convex optimisation procedure formulated using linear mat..."}]