Design of Optimal Control Systems With Eigenvalue Placement in a Specified Region

Abstract

SUMMARYA recursive method for determining the state weighting matrix of a linear quadratic regulator problem in order to shift the open‐loop poles inside a vertical strip is presented. This method is capable of shifting both 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 to first‐ or second‐order. In this paper we combine the well‐known aggregation technique and the non‐linear constrained minimization problem and develop a new algorithm for determining the state weighting matrix which shifts the open‐loop poles inside the desired vertical strip.

A Simple Approach to Robust Optimal Pole Assignment of Decentralized Stochastic Singularly-Perturbed Computer Controlled Systems

“…Arar and M.E. Sawan [2] propose a design method for optimal control with eigenvalue placement in a specified region; in 1997, they present the work about the relation between pole-placement and linear quadratic regulator for discrete time systems [3]. In [4], Yao studied computer control of decentralized singularly-perturbed systems, but the noise disturbing factors, fast algorithms and robustness are not concerned.…”