A Simplified Numerical Approach to Feedback Controller Design

✍ Scribed by Tom B. Bechtel

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 224 KB
• Volume: 82
• Category: Article
• ISSN: 0008-4034
• DOI: 10.1002/cjce.5450820622

✦ Synopsis

Abstract

A generalized parameter optimization method for computing feedback controller parameters is proposed. The method utilizes the downhill simplex method (DSM), a pattern search algorithm, to determine the optimal parameters that minimize an objective function or performance index. The system model, expressed in terms of state‐space equations is integrated with respect to time at each DSM iteration in order to determine the states. A fourth‐order Runge‐Kutta scheme is used for integrating the state equations. A penalty function approach is used for problems with inequality constraints on the state variables or controls. Though relatively inefficient in terms of the number of function evaluations, DSM requires only that the user provide the model equations, and not their derivatives. Additionally, the DSM code is very compact. Thus, a small and straightforward program allows for controller parameter determination for a variety of state‐space and classical PID feedback control design problems.