Mixed H/sub 2/ and H/sub ∞/ optimal control of smart structures

Lashlee, Robert W.; Rao, V. Sree Hari; Kern, Frank J.

doi:10.1109/cdc.1994.411036

Cited by 6 publications

(3 citation statements)

References 6 publications

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“…The number of modes reserved is based on the control effect designer wants to get. 11 10 −9 10 −9 10 −9 10 −9 12 10 −9 10 −9 10 −9 10 −9 13 10 −9 10 −9 10 −9 10 −9 14 10 −9 10 −9 10 −9 10 −9 30…”

Section: Number Of Modes To Be Reservedmentioning

confidence: 99%

“…Considering both uncertainties due to control and observation spillover in the unmodeled residual modes and to parametric errors in the structural model, Lucian Iorga [13] used H infinity control with μ-analysis to control a piezoelectric actuated plate. Robert Lashlee [14] designed a mixed H 2 and H infinity optimal controller for smart structures when there exist natural frequency variations. Most literature handles the cases that there are parameter uncertainties caused by natural frequency variations or damping ratio variations and the cases considering unmodeled dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Robust vibration control of uncertain flexible structures based on model reduction

Hao

Duan

Huang

2014

Proceedings of the 33rd Chinese Control Conference

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This paper considers robust vibration control of uncertain flexible structures. It firstly uses finite element method (FEM) to formulate the model and then reduces the degrees of freedom by employing mode truncation method. It compares the control effects of different number of modes reserved, and presents the principle of determining the number of modes truncated. Then it chooses the number and optimal place of actuators by using genetic algorithm (GA). Taking into account uncertainties which are caused by model parameter variations, a robust controller is designed to suppress the vibration of the flexible structure. The effectiveness of the methods is illustrated through numerical simulations.

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Section: Number Of Modes To Be Reservedmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust vibration control of uncertain flexible structures based on model reduction

Hao

Duan

Huang

2014

Proceedings of the 33rd Chinese Control Conference

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show abstract

“…Several authors have considered natural frequency variations in the design of controllers for structures. Lashlee et al (1994) and Butler et al (1997) have used H 2 /H • formulations to design such controllers. It was seen that these methods resulted in highly conservative designs.…”

Section: Introductionmentioning

confidence: 99%

Application of Linear Matrix Inequalities in the Control of Smart Structural Systems

Sana

Rao

2000

Journal of Intelligent Material Systems and Structures

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Natural frequency variations, unmodeled dynamics and control input constraints are some of the major problems in the design of controllers in smart structural systems. The performance and robustness of the closed-loop system are often constrained by the limited actuation force available from Lead Zirconate Titanate (PZT) actuators. Hence, it is desirable to design controllers to maximize the performance and robustness without violating the control input constraints. In this paper, we give a methodology for designing output feedback robust controllers for smart structural systems using Linear Matrix Inequalities (LMIs). A procedure is developed to incorporate the real parameter uncertainty resulting from natural frequency variations and complex uncertainty due to unmodeled dynamics in a Linear Fractional Representation (LFR) to be utilized in the design. The control input constraints are satisfied by finding an invariant ellipsoid of closed loop trajectories for a given set of initial condition disturbances. An iterative procedure is given to solve the optimization problem involving Bilinear Matrix Inequalities (BLMIs). The design procedure is applied on a smart structural test article and the effectiveness of the proposed method is verified by robustness analyses and experimental tests.

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Optimal structural synthesis, modeling, and control of micro-mechatronic systems

Lyshevski

2001

Mechatronics

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Mixed H/sub 2/ and H/sub ∞/ optimal control of smart structures

Cited by 6 publications

References 6 publications

Robust vibration control of uncertain flexible structures based on model reduction

Robust vibration control of uncertain flexible structures based on model reduction

Application of Linear Matrix Inequalities in the Control of Smart Structural Systems

Optimal structural synthesis, modeling, and control of micro-mechatronic systems

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