The Experts below are selected from a list of 2574273 Experts worldwide ranked by ideXlab platform
Michael. Athans - One of the best experts on this subject based on the ideXlab platform.
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Gain scheduling: potential hazards and possible remedies
IEEE Control Systems, 1992Co-Authors: Jeff S. Shamma, Michael. AthansAbstract:Current gain scheduling control of nonlinear practice is limited to slow variations in the scheduling variable. These limitations are revealed to be consequences of fundamental control concepts. It is shown how a reformulation of the gain scheduling procedure can lead to the ultimate removal of these restrictions. >
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Gain Scheduling: Potential Hazards and Possible Remedies
1991 American Control Conference, 1991Co-Authors: Jeff S. Shamma, Michael. AthansAbstract:A common gain scheduling rule-of-thumb is to "schedule on a slow variable." In this paper, it is shown how current gain scheduling practice is necessarily limited to slow variations in the scheduling variable. These limitations are revealed to be consequences of fundamental control concepts. Furthermore, it is shown how a reformulation of the gain scheduling procedure can lead towards ultimately removing these restrictions.
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Guaranteed properties of gain scheduled control for linear parameter-varying plants
Automatica, 1991Co-Authors: Jeff S. Shamma, Michael. AthansAbstract:Abstract Gain scheduling has proven to be a successful design methodology in many engineering applications. However in the absence of a sound theoretical analysis, these designs come with no guarantees on the robustness, performance, or even nominal stability of the overall gain scheduled design. This paper presents such an analysis for one type of gain scheduled system, namely, a linear parameter-varying plant scheduling on its exogenous parameters. Conditions are given which guarantee that the stability, robustness, and performance properties of the fixed operating point designs carry over to the global gain scheduled design. These conditions confirm and formalize popular notions regarding gain scheduled design, such as the scheduling variable should “vary slowly.”
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Guaranteed properties for nonlinear gain scheduled control systems
Proceedings of the 27th IEEE Conference on Decision and Control, 1Co-Authors: Jeff S. Shamma, Michael. AthansAbstract:An analysis is presented of two types of nonlinear gain-scheduled control systems: scheduling on a reference trajectory and scheduling on the plant output. Conditions are given which guarantee stability, robustness, and performance properties of the global gain-scheduled designs. These conditions confirm and formalize popular notions regarding gain-scheduled designs, e.g., that the scheduling variable should vary slowly and capture the plant's nonlinearities. These results extend previous work by the authors which addressed the case of linear plants whose dynamics depend on exogenous parameters. >
Wilson J Rugh - One of the best experts on this subject based on the ideXlab platform.
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Survey Research on gain scheduling
Automatica, 2000Co-Authors: Wilson J Rugh, Jeff S. ShammaAbstract:Current research on gain scheduling is clarifying customary practices as well as devising new approaches and methods for the design of nonlinear control systems.
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for Gain Scheduling
1998Co-Authors: Daniel J. Stilwell, Wilson J RughAbstract:Synthesis of gain scheduled controllers often requires that a parameter-varying controller be generated from a finite set of linear time-invariant controllers. We propose interpolat,ion methods for this task with the property that stabili !y of the linearized closed-loop system is preserved for each fixed value of the scheduling parameter. In addition, slow-variation arguments are presented that establish stability of the nonlinear closed-loop system with gain scheduled controller.
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Gain Scheduling For Robust Linear Controllers.
1995Co-Authors: Wilson J RughAbstract:Abstract : This final report briefly describes research results on a theory of gain scheduling for flight control applications that were obtained by the Principal Investigator and his students over the two year period of support. Results reported include the development of a solution to an input-output pseudolinearization problem for nonlinear systems, characterization of the impact of linear controller configuration on the gain scheduling process, and formulation of an approach to gain scheduling in the face of rapidly varying scheduling signals. Publications describing the results in detail are listed.
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gain scheduling dynamic linear controllers for a nonlinear plant
Automatica, 1995Co-Authors: Douglas A Lawrence, Wilson J RughAbstract:For a general type of nonlinear tracking problem, we consider gain scheduling based on a family of linear dynamic controllers designed for a family of plant linearizations about constant operating points. A necessary and sufficient condition for the existence of gain scheduled controllers satisfying appropriate requirements is presented. Using this condition, the impact of linear controller configuration on the existence of a gain scheduled controller can be assessed, and ad hoc approaches to scheduling can be analyzed.
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gain scheduling for h infinity controllers a flight control example
IEEE Transactions on Control Systems and Technology, 1993Co-Authors: R A Nichols, R T Reichert, Wilson J RughAbstract:A new approach to gain scheduling linear dynamic controllers is illustrated for a pitch-axis autopilot design problem. In this application the linear controllers are designed at distinct operating conditions by H/sup infinity / methods. The gain scheduling procedure uses particular features of both the linear dynamic controllers and the controller configuration to remove so-called hidden coupling terms that can occur in scheduled controllers. Potential performance improvement is demonstrated by comparing simulation results to those for a naive gain scheduled controller that ignores the coupling terms. >
Jeff S. Shamma - One of the best experts on this subject based on the ideXlab platform.
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Survey Research on gain scheduling
Automatica, 2000Co-Authors: Wilson J Rugh, Jeff S. ShammaAbstract:Current research on gain scheduling is clarifying customary practices as well as devising new approaches and methods for the design of nonlinear control systems.
-
Gain scheduling: potential hazards and possible remedies
IEEE Control Systems, 1992Co-Authors: Jeff S. Shamma, Michael. AthansAbstract:Current gain scheduling control of nonlinear practice is limited to slow variations in the scheduling variable. These limitations are revealed to be consequences of fundamental control concepts. It is shown how a reformulation of the gain scheduling procedure can lead to the ultimate removal of these restrictions. >
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Gain Scheduling: Potential Hazards and Possible Remedies
1991 American Control Conference, 1991Co-Authors: Jeff S. Shamma, Michael. AthansAbstract:A common gain scheduling rule-of-thumb is to "schedule on a slow variable." In this paper, it is shown how current gain scheduling practice is necessarily limited to slow variations in the scheduling variable. These limitations are revealed to be consequences of fundamental control concepts. Furthermore, it is shown how a reformulation of the gain scheduling procedure can lead towards ultimately removing these restrictions.
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Guaranteed properties of gain scheduled control for linear parameter-varying plants
Automatica, 1991Co-Authors: Jeff S. Shamma, Michael. AthansAbstract:Abstract Gain scheduling has proven to be a successful design methodology in many engineering applications. However in the absence of a sound theoretical analysis, these designs come with no guarantees on the robustness, performance, or even nominal stability of the overall gain scheduled design. This paper presents such an analysis for one type of gain scheduled system, namely, a linear parameter-varying plant scheduling on its exogenous parameters. Conditions are given which guarantee that the stability, robustness, and performance properties of the fixed operating point designs carry over to the global gain scheduled design. These conditions confirm and formalize popular notions regarding gain scheduled design, such as the scheduling variable should “vary slowly.”
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Guaranteed properties for nonlinear gain scheduled control systems
Proceedings of the 27th IEEE Conference on Decision and Control, 1Co-Authors: Jeff S. Shamma, Michael. AthansAbstract:An analysis is presented of two types of nonlinear gain-scheduled control systems: scheduling on a reference trajectory and scheduling on the plant output. Conditions are given which guarantee stability, robustness, and performance properties of the global gain-scheduled designs. These conditions confirm and formalize popular notions regarding gain-scheduled designs, e.g., that the scheduling variable should vary slowly and capture the plant's nonlinearities. These results extend previous work by the authors which addressed the case of linear plants whose dynamics depend on exogenous parameters. >
Guangren Duan - One of the best experts on this subject based on the ideXlab platform.
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Gain scheduled control of linear systems with unsymmetrical saturation actuators
International Journal of Systems Science, 2015Co-Authors: Guangren DuanAbstract:The problem of stabilisation of a class of nonlinear continuous-time systems with asymmetric saturations on the control is studied in this paper. By combining the parametric Lyapunov equation approach and gain scheduling technique, a state feedback gain scheduling controller is proposed to solve the stabilisation problem of systems with unsymmetrical saturated control. The proposed gain scheduled approach is to increase the value of the design parameter so that the convergence rate of the closed-loop system can be increased. Numerical simulations show the effectiveness of the proposed approach.
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Gain-scheduled control of switched systems subject to actuator saturation
Transactions of the Institute of Measurement and Control, 2015Co-Authors: Guangren DuanAbstract:A new technique is presented for the design of Gain-Scheduling controllers for switched systems with actuator saturation. By using the parametric Lyapunov equation-based approach and the invariant set theory, we develop a switching strategy of the whole system and propose a gain scheduling approach to increase the design parameter online. Then the closed-loop system is proven to be exponentially stable. Numerical simulations show the effectiveness of the proposed gain scheduling approaches.
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robust gain scheduled control of spacecraft rendezvous system subject to input saturation
Chinese Control Conference, 2014Co-Authors: Qian Wang, Bin Zhou, Guangren DuanAbstract:The problem of robust control of spacecraft circular orbit rendezvous system subject to input saturation is studied in this paper. The relative model with parameter uncertainties caused by linearization error and saturation nonlinearity is established based on C-W equation. By combining the parametric Riccati equation and the existing gain scheduling technique, a new robust gain scheduling controller is proposed to solve the robust control problem. By scheduling the design parameters online, the convergence rate of the state can be improved. With the designed controller, the spacecraft orbit rendezvous is accomplished successfully. Numerical simulations show the effectiveness of the proposed approach.
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Gain Scheduled Control of Linear Systems Subject to Actuator Saturation With Application to Spacecraft Rendezvous
IEEE Transactions on Control Systems Technology, 2014Co-Authors: Bin Zhou, Qian Wang, Guangren DuanAbstract:This brief is concerned with gain scheduled approaches to the stabilization of linear systems with actuator saturation. For linear systems that are polynomially unstable, using the parametric Lyapunov equation-based and Riccati equation-based design, we propose gain scheduling approaches to increase the design parameter online so as to increase the convergence rates of the closed-loop systems. To apply the proposed gain scheduling approaches, only a scalar differential equation whose right-hand side is a function of the state vector is required to be integrated online. The closed-loop system is proven to be exponentially stable provided some parameters in the scheduling law are properly chosen. The established gain scheduling approaches are also extended to exponentially unstable linear systems with actuator saturation. As applications of the proposed dynamic gain scheduling approaches, the controller design of spacecraft rendezvous systems is revisited. Numerical simulation with the nonlinear model of a spacecraft rendezvous system shows the effectiveness of the proposed gain scheduling approaches.
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robust global stabilization of linear systems with input saturation via gain scheduling
International Journal of Robust and Nonlinear Control, 2010Co-Authors: Bin Zhou, Zongli Lin, Guangren DuanAbstract:The problem of robust global stabilization of linear systems subject to input saturation and input-additive uncertainties is revisited in this paper. By taking advantages of the recently developed parametric Lyapunov equation-based low gain feedback design method and an existing dynamic gain scheduling technique, a new gain scheduling controller is proposed to solve the problem. In comparison with the existing ℋ2-type gain scheduling controller, which requires the online solution of a state-dependent nonlinear optimization problem and a state-dependent ℋ2 algebraic Riccati equation (ARE), all the parameters in the proposed controller are determined a priori. In the absence of the input-additive uncertainties, the proposed controller also partially recovers Teel's ℋ∞-type scheduling approach by solving the problem of global stabilization of linear systems with actuator saturation. The ℋ∞-type scheduling approach achieves robustness not only with non-input-additive uncertainties but also requires the closed-form solution to an ℋ∞ ARE. Thus, the proposed scheduling method also addresses the implementation issues of the ℋ∞-type scheduling approach in the absence of non-input-additive uncertainties. Copyright © 2009 John Wiley & Sons, Ltd.
Jakub Osuský - One of the best experts on this subject based on the ideXlab platform.
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Engine speed control using gain scheduling method
2016 Cybernetics & Informatics (K&I), 2016Co-Authors: Jakub Osuský, Vojtech VeselýAbstract:This paper presents a gain scheduled controller design for SISO systems applied on laboratory engine. Presented frequency domain method is based on the M-delta structure of closed loop systems. The small gain theory is exploited to obtain the stability condition. The gain scheduling control is applied on laboratory engine with variable load and compared with classic robust control.
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Gain Scheduling Control for DC Engine
International Journal of Engineering, 2014Co-Authors: Vojtech Veselý, Jakub OsuskýAbstract:Paper presents a gain scheduled controller design for SISO systems applied on DC engine. This frequency domain method is based on the structure of closed loop systems and the small gain theory is exploited to obtain the stability condition. The gain scheduling control is compared with classic robust control on DC engine with variable load.
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Gain Scheduling Control Design in Frequency Domain
International review of automatic control, 2014Co-Authors: Vojtech Veselý, Jakub OsuskýAbstract:This paper presents a gain scheduled controller design for MIMO and SISO systems in frequency domain. The proposed method is based on the structure of closed loop MIMO (SISO) systems and the small gain theory is exploited to obtain the stability condition. An example illustrates the effectiveness of the proposed output feedback gain scheduled controller design method.
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Gain Scheduling Control Design for Hydro Generator
International review of automatic control, 2013Co-Authors: Vojtech Veselý, T. Puleva, Jakub OsuskýAbstract:This paper presents a gain scheduled controller design for MIMO and SISO systems in frequency domain. The proposed method is based on the M-Δ structure of closed loop MIMO (SISO) systems and the small gain theory is exploited to obtain the stability condition. Example of hydro generator model illustrates the effectiveness of the proposed output feedback gain scheduled controller design method.
