Near Optimal PID Controller Tuning: Interval Arithmetic Approach
Autor: | Sivaramakrishnan Janardhanan, Pritesh Patel |
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Rok vydání: | 2020 |
Předmět: |
0209 industrial biotechnology
020208 electrical & electronic engineering PID controller 02 engineering and technology Function (mathematics) Routh–Hurwitz stability criterion Parseval's theorem Interval arithmetic 020901 industrial engineering & automation Control and Systems Engineering Control theory 0202 electrical engineering electronic engineering information engineering Range (statistics) MATLAB computer Mathematics computer.programming_language |
Zdroj: | IFAC-PapersOnLine. 53:246-251 |
ISSN: | 2405-8963 |
DOI: | 10.1016/j.ifacol.2020.06.042 |
Popis: | In this paper, a near-optimal tuning method for PID controller which is based on minimizing the Integral Square Error (ISE) is presented. Parseval’s theorem is used to find the ISE as a function of controller parameters. Guaranteed optimization of the ISE is achieved using the Moore Skelboe Algorithm and interval analysis for the given range of the controller parameter. For stability assurance, Routh Hurwitz criterion is used. This method is effective for finding PID values for given initial range and applicable for all first and second order linear time-invariant (LTI) system and some of the higher-order LTI systems. Simulation results are presented using the MATLAB and INTLAB software. Experimental results are presented for pitch and yaw angle control of Twin Rotor Multiple Input Multiple Output (MIMO) system. |
Databáze: | OpenAIRE |
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