The effective application of the variable structure approach to model reference adaptive control using only input and output measurements is investigated. The controller, which is robust with respect to a class of bou...
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The effective application of the variable structure approach to model reference adaptive control using only input and output measurements is investigated. The controller, which is robust with respect to a class of bounded-input-disturbance plants with a relative degree of one, ensures convergence of the tracking error always to zero. It is not necessary to assume persistency of excitation.
In most of the studies of model reference adaptive control (MRAC), the controlled systems are confined to minimum phase systems, since the MRAC techniques utilize the control laws involving cancellations of zeros of t...
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In most of the studies of model reference adaptive control (MRAC), the controlled systems are confined to minimum phase systems, since the MRAC techniques utilize the control laws involving cancellations of zeros of the systems. In this paper, we propose a design method of model reference adaptive control systems for non-minimum phase systems. The poles and zeros of the controlled systems are relocated by the periodic feedback control laws with multirate sampling, and no cancellation of zeros occurs in our method. It is shown that even if the unstable zeros exist, the output error converges to zero asymptotically, while the control input remains uniformly bounded. Some simulation results for the non-minimum phase system, also show the effectiveness of the proposed method.
In this paper, a new model reference adaptive controller (MRAC) for uncertain switched linear systems is developed. A class of uncertain switched linear systems with parametric mismatched and input matched uncertainti...
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In this paper, a new model reference adaptive controller (MRAC) for uncertain switched linear systems is developed. A class of uncertain switched linear systems with parametric mismatched and input matched uncertainties, control input effectiveness and unmodeled dynamics is studied in this paper. The difference in input matrix for different switching modes which means the input channel degradation is investigated through this paper. By using common Lyapunov function method and developing new linear matrix inequality based sufficient conditions, uniform ultimate boundedness of the reference tracking error is guaranteed by switched MRAC and by using a novel nonlinear controller term, the size of the uniform ultimate bounded region can be made arbitrarily small which could enhance the performance of the overall control structure. Modified versions of MRAC systems using low-frequency learning adaptation MRAC is also used for better transient performance at switching instants. An illustrative numerical example demonstrates the performance of the proposed approach. Results also show that for the cases without parametric uncertainty in the linear part, asymptotic stability of the reference tracking error is guaranteed.
In the literature to date there is a dichotomy between results on continuous- and discrete-time modelreferencecontrol. This is highlighted in the case of continuous-time systems having relative degree greater than o...
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In the literature to date there is a dichotomy between results on continuous- and discrete-time modelreferencecontrol. This is highlighted in the case of continuous-time systems having relative degree greater than one. It is known that, for rapid sampling, these systems always give rise to a non-stably invertible discrete-time system and thus discrete modelreferencecontrol is ruled out. On the other hand, there are many results pertaining to continuous-time modelreferencecontrol of such systems. This apparent paradox can be resolved by a slight modification to the discrete-time model format as shown later. This alternative model is used to develop a new discrete model reference adaptive control law and a convergence analysis for the algorithm is presented.
This paper presents the design of the Two-Degree-of-Freedom (2DOF) based model reference adaptive control (MRAC) as a tracking control system for the Non-minimum Phase (NMP) system. Perfect set point tracking is possi...
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This paper presents the design of the Two-Degree-of-Freedom (2DOF) based model reference adaptive control (MRAC) as a tracking control system for the Non-minimum Phase (NMP) system. Perfect set point tracking is possible by using a cascade-connected inverse and non-inverse transfer function model of the dynamic system. But this method is restricted to the minimum phase system only, whereas, NMP system produces unbounded output response using this inverse model technique. Though, adaptive inverse feed-forward control technique is an effective tracking control system, it also requires an inverse model of the system. To overcome this problem, a novel feed-forward MRAC scheme for the inverse NMP model and the State feedback controller of the non-inverse model has been proposed, and both the controller are decoupled in a 2DOF framework. The feed-forward control technique guaranteed the tracking performance using the Lyapunov stability theory, and the feedback counterpart enhances the steady-state performance of the NMP plant. The robustness of the asymptotic stability as well as tracking performance of the closed-loop NMP system has been ensured by the proposed 2DOF control based MRAC technique. The effectiveness of the proposed control structure initially has been verified by the MATLAB Simulink toolbox and, then the demand has been strengthened by the implementation of the same control logic in the real-time environment using analog simulation with Op-amp based hardware model.
A new variable structure model reference adaptive control scheme with integration is proposed to achieve robustness to modelling uncertainties in this paper. A key feature of this scheme is that the knowledge of neith...
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A new variable structure model reference adaptive control scheme with integration is proposed to achieve robustness to modelling uncertainties in this paper. A key feature of this scheme is that the knowledge of neither the parameters of the upper bounding function on the modelling uncertainties nor the upper bound on the norm of the matching controller parameters is required. Other advantages of the scheme are its excellent transient performance and asymptotic zero output tracking error. Simulation results demonstrated that the chattering of the scheme is effectively compensated by incorporation of an integrator.
The idea of improving the transient behavior in model reference adaptive control by using the estimation error to modify the underlying controller structure has recently attracted some attention in the literature. In ...
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The idea of improving the transient behavior in model reference adaptive control by using the estimation error to modify the underlying controller structure has recently attracted some attention in the literature. In this note, we show that the modifications proposed so far can in fact all be derived as a linear feedback from the tracking error. Consequently, the improved performance obtained with such a scheme is solely due to a nonadaptive high gain feedback.
Actuator and sensor faults have been implicated in several aircraft loss-of-control accidents and incidents. Direct model reference adaptive control (MRAC) methods have been suggested as a promising approach for maint...
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Actuator and sensor faults have been implicated in several aircraft loss-of-control accidents and incidents. Direct model reference adaptive control (MRAC) methods have been suggested as a promising approach for maintaining stability and controllability in the presence of uncertainties and actuator failures without requiring explicit fault detection, identification, and controller reconfiguration (e.g., [1,2]). (An extensive amount of literature is available on adaptivecontrol in the presence of actuator failures, but could not be listed in this brief Note due to space limitations; however, a detailed reference list is available in [2]). In addition to actuator faults, sensor faults may also compromise safety [3-5]. A common type of sensor fault is unknown sensor bias, which can develop during operation in one or more sensors, such as rate gyros, accelerometers, altimeter, etc. If used directly in an MRAC law, such offsets in sensor measurements can have detrimental effects on closed-loop stability, which can no longer be theoretically guaranteed. Accommodation of sensor faults in an MRAC setting has been addressed (e.g., [6-8]). However, adaptivecontrol of systems with simultaneous actuator and sensor faults has not been adequately addressed. Toward that goal, MRAC control laws using state feedback for state tracking were developed in [9] for the case with simultaneous sensor bias and actuator failures, and signal boundedness as well as bounded or asymptotic tracking were obtained. This Note elaborates on the results of [9] and presents numerical examples to illustrate the methods.
This paper discusses a model reference adaptive control for a multi-input multi-output continuous system in matrix fraction description. The controller is of Monopoli-Narendra type with a time-varying gain matrix in t...
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This paper discusses a model reference adaptive control for a multi-input multi-output continuous system in matrix fraction description. The controller is of Monopoli-Narendra type with a time-varying gain matrix in the parameter adaptation law. The transfer matrix of the given plant with an adjustable controller is made to approach to that of the referencemodel asymptotically. It is shown that, under some plausible assumptions such as on the knowledge of an interactor matrix, the algorithm for a single-input single-output system can be appropriately extended to a multi-input multi-output system. The convergence of an adaptation law is proved with some stability theory and the stability of the overall system is asserted by an analytical investigation.
This paper shows that a result recently obtained for arbitrarily improving the zero-state transient performance of a continuous-time model reference adaptive control scheme, does not have a counterpart in discrete-tim...
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This paper shows that a result recently obtained for arbitrarily improving the zero-state transient performance of a continuous-time model reference adaptive control scheme, does not have a counterpart in discrete-time. Using standard l(1) optimal control theory, it is shown that unlike the continuous-time case, it is not possible to modify the control law to obtain arbitrarily small l(infinity) gain for the closed-loop function from the parameter mismatch to the error. Nevertheless, the control law may be modified to minimize this gain, perhaps resulting in improved error transients.
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