Structurally Constrained H∞ Suboptimal Control Design Using an Iterative Linear Matrix Inequality Algorithm Based on a Dual Design Formulation

Jaw-Kuen Shiau; Joe H. Chow

doi:10.6180/jase.1998.1.2.06

Structurally Constrained H∞ Suboptimal Control Design Using an Iterative Linear Matrix Inequality Algorithm Based on a Dual Design Formulation

Jaw-Kuen Shiau^1,2 and Joe H. Chow^1,2

¹Aerospace Engineering Dept., Tamkang University, Taiwan, R.O.C.
²ECSE Dept., Rensselaer Polytechnic Institute, Troy, NY USA

Received: December 2, 1998
Accepted: January 8, 1999
Publication Date: January 8, 1999

Download Citation: ||https://doi.org/10.6180/jase.1998.1.2.06

ABSTRACT

A general approach for solving structurally constrained H ∞ suboptimal control problems is proposed. The structurally constrained problems include static output feedback control, decentralized control, and fixed controllers for different operating conditions. The approach uses a dual design formulation based on an H ∞ state-feedback controller parametrization result. The dual design condition is in the form of a biaffine matrix inequality (BMI). To solve for the control gains from the BMI, an iterative algorithm based on the linear matrix inequality (LMI) technique is developed. In this new approach, the control gains are independent of any Riccati equation solutions.

Keywords: Robust Control, Linear Matrix Inequalities, State Feedback, Static Output Feedback, Simultaneous Stabilization.

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