Energy-to-peak induced norm upper bound control approach for collocated structural systems

Mona Meisami-azad; Javad Mohammadpour; Karolos M. Grigoriadis

doi:10.1117/12.715868

18 April 2007 Energy-to-peak induced norm upper bound control approach for collocated structural systems

Mona Meisami-azad, Javad Mohammadpour, Karolos M. Grigoriadis

Proceedings Volume 6523, Modeling, Signal Processing, and Control for Smart Structures 2007; 65230L (2007) https://doi.org/10.1117/12.715868
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2007, San Diego, California, United States

Abstract

The current paper presents an explicit expression for an upper bound on the induced energy-to-peak norm for structural systems with collocated sensors and actuators. Using a linear matrix inequality (LMI)-based representation of the L₂ - L∞ norm of a collocated structural system, we determine an analytical upper bound on the L₂ - L∞ norm of such a system. The paper also addresses the problem of static output feedback controller design for such systems. By employing simple algebraic tools, we derive an explicit parametrization of feedback controller gains which guarantee a prescribed level of L₂ - L∞ performance for the closed-loop system. Finally, numerical examples are provided to validate the effciency and benefits of the proposed techniques. The effectiveness of the obtained bound and control design methodology is evident, in problems involving very large scale structural systems where solving Lyapunov equation or LMIs with large number of decision variables is time-consuming or intractable.

Citation Download Citation

Mona Meisami-azad, Javad Mohammadpour, and Karolos M. Grigoriadis "Energy-to-peak induced norm upper bound control approach for collocated structural systems", Proc. SPIE 6523, Modeling, Signal Processing, and Control for Smart Structures 2007, 65230L (18 April 2007); https://doi.org/10.1117/12.715868

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