Analysis of gain scheduled control for nonlinear plants

Shamma, Jeff S.; Athans, Michael

doi:10.1109/9.58498

Cited by 664 publications

(219 citation statements)

References 9 publications

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“…It is well known that slow v ariation of the scheduling variables is a su cient condition for stability o f gain scheduled control Shamma andAthans 1990, Hunt andJohansen 1997 . Since the input is used for scheduling, this condition is clearly not met in this case since the input varies at approximately the same rate as the output.…”

Section: 2mentioning

confidence: 99%

Gain-scheduled control of a solar power plant

Johansen

Hunt

Petersen

2000

Control Engineering Practice

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The application of gain-scheduled control to a pilot-scale solar power plant is described. A eld of parabolic collectors focus the solar radiation onto a tube where oil is pumped through in order to collect the solar power. The control problem is to keep the temperature of the oil leaving the eld at its desired value by manipulating the oil pump ow rate. It is shown that gain-scheduling can e ectively handle the plant nonlinearities, using high-order local linear ARX models that form the basis for the design of local linear controllers using pole placement.

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Section: 2mentioning

confidence: 99%

Gain-scheduled control of a solar power plant

Johansen

Hunt

Petersen

2000

Control Engineering Practice

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“…In [20] an analysis is provided for LPV closed-loop systems under the assumption of slowly varying parameters and in [21,22] the general framework for designing LPV controllers with arbitrary rate of variation was presented in a linear matrix inequality (LMI) formulation. In the following, the design procedure is summarized and it is discussed how to handle numerical difficulties that might occur for higher-order systems.…”

Section: Synthesis Of Lpv Controllersmentioning

confidence: 99%

Linear parameter varying control of wind turbines covering both partial load and full load conditions

Østergaard

Stoustrup

Brath

2008

Intl J Robust & Nonlinear

112

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SUMMARYThis paper considers the design of linear parameter varying (LPV) controllers for wind turbines in order to obtain a multivariable control law that covers the entire nominal operating trajectory.The paper first presents a controller structure for selecting a proper operating trajectory as a function of estimated wind speed. The dynamic control law is based on LPV controller synthesis with general parameter dependency by gridding the parameter space.The controller construction can, for medium-to large-scale systems, be difficult from a numerical point of view, because the involved matrix operations tend to be ill-conditioned. The paper proposes a controller construction algorithm together with various remedies for improving the numerical conditioning the algorithm.The proposed algorithm is applied to the design of a LPV controller for wind turbines, and a comparison is made with a controller designed using classical techniques to conclude that an improvement in performance is obtained for the entire operating envelope.

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“…Most efforts have been devoted to the analytical framework (Shamma and Athans 1990;Rugh 1991) and common principles for gain scheduling and less attention engineering application except few applications in car engines (Jiang 1994;Kaminer et al 1995). It seems that technological processes have not caught the attention of researches in the context of a gain scheduling.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Gain Scheduled Controller For A Sphere Liquid Tank

Krhovjak¹,

Dostál²,

Talas³

et al. 2015

ECMS 2015 Proceedings Edited By: Valeri M. Mladenov, Petia Georgieva, Grisha Spasov, Galidiya Petrova

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In this paper, we develop a gain-scheduled controller for a nonlinear plant of the sphere liquid tank. The proposed strategy is based on linearization of the nonlinear state equation around selected operating points. This methodology allows to apply any linear control design method. In particular, we discuss a polynomial method to achieve desired stability and performance requirements. Following this idea, both 1DOF and 2DOF control configurations are considered. The linear design methods are applied at each operating point in order to arrive at a set of linear control laws. Additionally, the parameters of the resulting family of linear controllers are scheduled as functions of reference variable, resulting in a single controller. Nonlocal performance of gain scheduled controller for the nonlinear model is checked by mathematical simulation.

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Analysis of gain scheduled control for nonlinear plants

Cited by 664 publications

References 9 publications

Gain-scheduled control of a solar power plant

Gain-scheduled control of a solar power plant

Linear parameter varying control of wind turbines covering both partial load and full load conditions

Nonlinear Gain Scheduled Controller For A Sphere Liquid Tank

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