Gain Scheduling

Shamma, Jeff S.

doi:10.1002/047134608x.w1014

Cited by 6 publications

(4 citation statements)

References 31 publications

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“…In particular gain scheduling could be investigated. Gain scheduling is an approach to control non-linear systems that uses a family of linear controllers, each of which provides satisfactory control for a different operating point of the system [34].The results of this first work on PI controllers would serve as a basis to implement this control law.…”

Section: Discussionmentioning

confidence: 99%

Fast, repeatable and precise magnetic actuation in ambient environments at the micrometer scale

2017

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This work aims at increasing the velocity of micrometer scale particles controlled by non contact magnetic actuation systems. The particles are placed in an ambient environment (i.e. in air) to minimize the drag forces. However this approach raises two major issues: the repeatability and the precision of position are difficult to obtain in ambient environments due to the adhesion force between the substrate and the particle. This work proposes to use first a magnetic torque to provoke in-plane rotation of the particle to overcome adhesion between the particle and the substrate. Then a magnetic force is applied to induce the movement of the particle. To ensure that the static friction is broken and that the position of the particle can be controlled precisely a current pulse actuation mode is used. A dedicated closed loop control law which controls both the amplitude and the duration of the current simultaneously is proposed to ensure accurate positioning of the particle. Speed during pulse can reach 176 mm/s (more than 350 body lengths per second) in open loop on silicon substrates. Adhesion is overcome in 95% of the tests using the magnetic torque, compared to 66% using classical approaches. Precision of positioning of less than 20% of the size of the particle can be reached. The approach proposed in this paper is generic so that it can be easily transposed to other systems in the literature. The large number of experimental tests provides a deep understanding of the possibilities and challenges of magnetic actuation in ambient environments.

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Section: Discussionmentioning

confidence: 99%

Fast, repeatable and precise magnetic actuation in ambient environments at the micrometer scale

2017

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“…The closed-loop system in Eq. (35) with saturated control inputs can be written as (36) Depending on which control inputs are saturated and which ones are not, we can expect the following three cases for the system in Eq. (36):…”

Section: System With Constrained Control Inputsmentioning

confidence: 99%

Gain Scheduled Control of Gas Turbine Engines: Stability and Verification

Pakmehr

Fitzgerald

Féron

et al. 2013

Journal of Engineering for Gas Turbines and Power

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A stable gain scheduled controller for a gas turbine engine that drives a variable pitch propeller is developed and described. A stability proof is developed for gain scheduled closed-loop system using global linearization and linear matrix inequality (LMI) techniques. Using convex optimization tools, a single quadratic Lyapunov function is computed f'or multiple linearizations near equilibrium and nonequilibrium points of the nonlinear closed-loop system. This approach guarantees stability of the closed-loop gas turbine engine system. To verify the stability of the closed-loop system on-line, an optimization problem is proposed, which is solvable using convex optimization tools. Simulation results show that the developed gain scheduled controller is capable to regulate a turboshaft engine for large thrust commands in a stable fashion with proper tracking performance.

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“…In order to achieve the LFR of the system (12± 13), we de® ne the (statedependent) functions¯i as 1ˆc os …¬ †;¯2ˆsin …¬ † and¯3ˆ» n …14 † …16 † system (12± 13) assume the LFR form (9± 10). As usual (see Shamma 1999), the variables upon which function ¢ depends on, determine the timevariability of the model, the remaining part being LTI. It is customary to pile up these variables in the so-called vector of scheduling parameters (see also the Appendix), usually denoted with the symbol .…”

Section: Lfr Form Of the Kinematic Modelmentioning

confidence: 99%

“…They can be classi® ed into two categories: the ® rst category is constituted by those techniques based on a constant quadratic Lyapunov function (see El Ghaoui and Scorletti 1996, Dussy and El Ghaoui 1997, Scherer 1999; the second category relies on the individuation of a parameter-varying quadratic Lyapunov function (see , Wu et al 1996, Apkarian and Adams 1998, and Shamma 1999.…”

Section: Control System Designmentioning

confidence: 99%

A mixed gH₂/H approach for stabilization and accurate trajectory tracking of unicycle-like vehicles

Bittanti¹,

Cuzzola²

2001

International Journal of Control

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2001) A mixed gH 2 /H approach for stabilization and accurate trajectory tracking of unicycle-like vehicles, International Journal of Control, 74:9, 880-888,The control problem of unicycle-like vehicles such as mobile robots is considered. More exactly, we propose the use of a linear parameter varying (LPV) approach to obtain both stabilization of the kinematic model together with high accuracy in trajectory tracking. This objective has been achieved by exploiting the advantages oOE ered by linear matrix inequality (LMI) theory and by introducing in the synthesis phase a tight limit on the peak value of control signals.

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Gain Scheduling

Abstract: The sections in this article are Motivation What Is Gain Scheduling? Linearization Basic Gain Scheduling Advanced Methods for Gain Scheduling

Cited by 6 publications

References 31 publications

Fast, repeatable and precise magnetic actuation in ambient environments at the micrometer scale

Fast, repeatable and precise magnetic actuation in ambient environments at the micrometer scale

Gain Scheduled Control of Gas Turbine Engines: Stability and Verification

A mixed gH₂/H approach for stabilization and accurate trajectory tracking of unicycle-like vehicles

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Gain Scheduling

Abstract: The sections in this article are Motivation What Is Gain Scheduling? Linearization Basic Gain Scheduling Advanced Methods for Gain Scheduling

Cited by 6 publications

References 31 publications

Fast, repeatable and precise magnetic actuation in ambient environments at the micrometer scale

Fast, repeatable and precise magnetic actuation in ambient environments at the micrometer scale

Gain Scheduled Control of Gas Turbine Engines: Stability and Verification

A mixed gH2/H approach for stabilization and accurate trajectory tracking of unicycle-like vehicles

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Product

Resources

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A mixed gH₂/H approach for stabilization and accurate trajectory tracking of unicycle-like vehicles