Design of a reduced–order H _∞ controller for smart structure satellite applications

Abstract

In this paper, the design of a low-order controller for a high-order, smart-structural system is presented. The application considered here is a model of a solar panel dynamically similar to those used on satellites. Smart structure refers here to the use of integrated piezoceramic materials as sensors and actuators in the structural system in order to implement the control. The analytical contribution is made by extending the well-known robust control theory by relating the high-frequency robustness condition to the residual uncertainty, removing a trial-and-error step in the normal robust-control design. The procedure is applied experimentally to a half-metre long frame that is coupled in bending and torsion, verifying that the technique is viable for a reasonably complex structure.

Active vibration control of a flexible beam based on experimental modal analysis

“…The covariance of excitation signal is set to 100 , respectively. The covariance of measurement noise is estimated as 3xlO- 6 The weighting coefficients are a = 2 Figure. 6. show the strains of the flexible link from sensor Sl and S2 in two cases of without controller and with controller, respectively. In two figures, solid line represents the strains in case of with controller, dotted line denotes the strains in case of without controller.…”

“…There are many robust techniques well known in structural control literature. Moreira designed a reduced order H � controller for intelligent structure satellite applications considering dynamic uncertainties requirements [6]. Zhang et al studied the active vibration control problem for the high-speed flexible mechanisms all of whose members were considered as flexible by using complex mode method and robust H � control scheme [7][8][9][10].…”

Active Structural Vibration Control: A Review

“…The transfer function matrix of the generalized plant can be partitioned according to the input-output variables: H ¥ theory has been applied to the active vibration control of a number of civil and mechanical engineering structures (Seto, 1998). Application of the H ¥ controller in the vibration control of flexible structures can be found in Bayard and Chiang (1998), Zhang et al (2001), Li and Yam (2001a), Moreira et al (2001), Chang et al (2002), Seto and Kar (2000), and Kar et al (2000). Rijanto et al (2000) utilized an H ¥ controller to design an active mass damper (AMD) for the attenuation of floor vibrations.…”

Robust control to parametric uncertainties in smart structures using linear matrix inequalities

“…However, if the model has uncertainties these methods are not indicated. There are many robust techniques well known in structural control literature, as for instance, Moreira et al (2001) designed a reduced order H controller for an intelligent structure satellite applications considering dynamic uncertainties requirements.…”