Static output feedback control design for linear MIMO systems with actuator dynamics governed by diffusion PDEs

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)90-100
Journal / PublicationInternational Journal of Control
Issue number1
Publication statusPublished - 2 Jan 2014


This paper deals with the problem of static output feedback (SOF) control design for a class of diffusion partial differential equation (PDE) and ordinary differential equation (ODE) cascades, where the ODE model is used to describe the dynamics of the multi-input and multi-output (MIMO) plant and the diffusion PDE model is employed to represent the dynamics of actuators. The objective of this paper is to develop a simple as well as effective SOF controller via the Lyapunov's direct method such that the resulting closed-loop system is globally exponentially stable. By constructing a quadratic Lyapunov function, the sufficient condition on the globally exponential stability of the closed-loop cascaded system is presented in terms of linear matrix inequality (LMI). Then, an LMI-based design method of the SOF controller is developed on the basis of the obtained stability analysis result. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed design method.© 2013 Taylor & Francis.

Research Area(s)

  • Cascaded system, Globally exponential stability, Linear matrix inequalities (LMIs), Lyapunov's direct method, Static output feedback (SOF)