Frequency domain analysis and robust control design for an ideal flexible beam

Lenz, Kathryn E.; Özbay, Hitay; Tannenbaum, Allen; Turi, János; Morton, Blaise

doi:10.1016/0005-1098(91)90130-t

“…one can actually compute the optimal controller without going through any approximations on the infinite-dimensional plant. For some special types of weights this theory has been applied to the robust control of such distributed systems as flexible beams and abstract models of an unstable aircraft (plant with a time delay), (Lenz et al 1991, Enns et al . 1992.…”

mentioning

confidence: 99%

Tutorial reviewH∞optimal controller design for a class of distributed parameter systems

Özbay

¹

1993

International Journal of Control

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This paper is a tutorial on a frequency domain design method for the two-block HOO optimal control of a class of SISO distributed parameter systems. Uncertainties in the system are assumed to be unmodelled dynamics represented in the form of either multiplicative, or additive, or coprime factor perturbations of a nominal infinite-dimensional plant. Performance of the closed loop system is measured in terms of the energy amplification from external input signals to the outputs of interest. In this paper transfer functions of the nominal plant and the weights are used in order to derive a solution to two-block H" control problems. The solution presented here uses results from operator theory. The H OO optimal performance and controller in this method are computed from a finite set of linear equations.

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“…Research is now proceeding along these directions in our new AFOSR contract. Moreover, we are very interested in working out more benchmark examples in addition to the flight control problem (351 and flexible beam problem [70] to which we alluded above. A key part of the implementation will be to have an efficient way of generating sub-optimal finite dimensional compensators for such problems.…”

Section: P(s) = E-j As +mentioning

confidence: 99%

“…(This is the most general H°-optimization problem.) The procedure seems to be numerically robust as evidenced by its implementation at the Systems Research Center of Honeywell, and its application to a number of distributed plant models including a flexible beam [70], and an unstable delay system associated with the flight control of. the X-29 [35].…”

Section: Introductionmentioning

confidence: 99%

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Operator Theoretic Methods in the Control of Distributed and Nonlinear Systems

Foiaş¹,

Tannenbaum²

1993

0

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(Maximum200 words)In this final technical report, we outline a number of problems in robust and nonlinear control theory which we have studied using an operator theoretic methodology. In particular, we discuss an approach to the structured singular value and u-synthesis procedure in robust control which is based on a new type of interpolation method, We consider nonlinear extension of H-infinity optimization theory and investigate corresponding question in causality which arise in this area. Moreover, we discuss a saddle-point, game-theoretic approach to such problems. Further, we sketch the application of our "skew Toeplitz" methods to distributed (infinite dimensional) H-infinity control. We also consider and h-infinity of approach to sampled data systems based on a lifting method, as well as consider problem using h-infinity -H 2 combined suboptimal controller. Finally we list some of our results in image processing and computer vision as applied to visual tracking.

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“…research, we have used these techniques to synthesize controllers for several types of flexible structures [70], and an unstable delay system derived from the flight control of the X-29 [35).…”

Section: Hi Optimization Of Distributed Systemsmentioning

confidence: 99%

Operator Theoretic Methods in the Control of Distributed and Nonlinear Systems

Foiaş¹,

Tannenbaum²

1990

Signal Processing

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0

View full text Add to dashboard Cite

(Maximum200 words)In this final technical report, we outline a number of problems in robust and nonlinear control theory which we have studied using an operator theoretic methodology. In particular, we discuss an approach to the structured singular value and u-synthesis procedure in robust control which is based on a new type of interpolation method, We consider nonlinear extension of H-infinity optimization theory and investigate corresponding question in causality which arise in this area. Moreover, we discuss a saddle-point, game-theoretic approach to such problems. Further, we sketch the application of our "skew Toeplitz" methods to distributed (infinite dimensional) H-infinity control. We also consider and h-infinity of approach to sampled data systems based on a lifting method, as well as consider problem using h-infinity -H 2 combined suboptimal controller. Finally we list some of our results in image processing and computer vision as applied to visual tracking.

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Frequency domain analysis and robust control design for an ideal flexible beam

Cited by 46 publications

References 9 publications

Tutorial reviewH∞optimal controller design for a class of distributed parameter systems

Tutorial reviewH∞optimal controller design for a class of distributed parameter systems

Operator Theoretic Methods in the Control of Distributed and Nonlinear Systems

Operator Theoretic Methods in the Control of Distributed and Nonlinear Systems

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