Optimal pole placement with prescribed eigenvalues for continuous systems

✍ Scribed by Abdul-Razzaq S. Arar; Mahmoud E. Sawan

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 516 KB
• Volume: 330
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(93)90089-d

✦ Synopsis

A recursive method jOr determining the state weighting matrix qf a linear quadratic regulator problem in order to shift the open loop poles to the desired locations is presented. This method is capable of shifiing the real and imaginary parts.for continuous time systems. Aggregation is used in each step of the recursive process. Therefore each time the order of the system is reduced tojirst-or second-order, a constrained minimization problem with linear and nonlinear constraints has to be solved in order to find the state weighting matrix qf' the reduced-order system that will shift the open loop poles to the desired locations.

An example is given to illustrate the theory.