Generalized eigenvalue minimization for uncertain first-order plus time-delay processes.
This paper shows how to apply generalized eigenvalue minimization to processes that can be described by a first-order plus time-delay model with uncertain gain, time constant and delay. An algorithm to transform the uncertain first-order plus time delay model into a state-space model with uncertainty polyhedron is firstly described. The accuracy of the transformation is studied using numerical examples. Then, the uncertainty polyhedron is rewritten as a linear-matrix-inequality constraint and generalized eigenvalue minimization is adopted to calculate a feedback control law. Case studies show that even if uncertainties associated with the first-order plus time delay model are significant, a stable feedback control law can be found. The proposed control is tested by comparing with a robust internal model control. It is also tested by applying it to the temperature control of air-handing units.
Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Road, Kowloon, Hong Kong. Electronic address: gongsheng.huang@cityu.edu.hk.
Gongsheng
G
Huang
School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore.
Keck Voon
KV
Ling
Institute of Civil Engineering, Guangzhou University, No. 230 Outer Ring Road, Guanzhou, Guangdong Province, China.
Xiaoning
X
Xu
Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Road, Kowloon, Hong Kong.
Yundan
Y
Liao
First-order plus time-delay model; Generalized eigenvalue minimization; Linear-matrix inequality; Robust control; Uncertainty