In the paper a new robust guaranteed cost output-feedback gain-scheduled PID controller design technique is presented for affine linear parameter-varyingsystems under polytopic model uncertainty, with the assumption ...
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In the paper a new robust guaranteed cost output-feedback gain-scheduled PID controller design technique is presented for affine linear parameter-varyingsystems under polytopic model uncertainty, with the assumption that the scheduled parameters are affected with absolute uncertainty. The proposed centralized or decentralized method is based on the Bellman-Lyapunov equation, guaranteed cost, and parameter-dependent quadratic stability. The robust stability and performance conditions are translated to an optimization problem subject to bilinear matrix inequalities, which can be solved or further linearized. As the main result, the suggested stability and performance conditions without any restrictions on the controller structure are convex functions of the scheduling and uncertainty parameters. Hence, there is no need for applying multi-convexity or other relaxation techniques and consequently the proposed solution delivers a less conservative design method. The viability of the novel design technique is demonstrated and evaluated through numerical examples. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
The paper presents an algorithm for the design of a single functional observer for a linear time-varying system. The proposed constructive procedure can be iterated to obtain a minimal order for the observer where the...
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ISBN:
(纸本)9781467357173
The paper presents an algorithm for the design of a single functional observer for a linear time-varying system. The proposed constructive procedure can be iterated to obtain a minimal order for the observer where the existence conditions are fufilled. As a specific feature, this procedure does not require the solution of any differential Sylvester equation.
For the trajectory tracking control problem of nonlinearsystems, the most basic and classic strategy may be applying the linear control technique to a lineartime-varying approximate model around some desired traject...
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ISBN:
(纸本)9789897581496
For the trajectory tracking control problem of nonlinearsystems, the most basic and classic strategy may be applying the linear control technique to a lineartime-varying approximate model around some desired trajectory. However, this method is not commonly used because the design of a lineartime-varying controller is not simple. The authors proposed the simple design method of the pole placement controller for lineartime-varying discrete systems. In this paper, to show the applicability of the proposed lineartime-varying discrete pole placement technique to the trajectory tracking control problem of nonlinearsystems, we apply this control method to actual 2-link robot manipulator and present the experimental results.
In this paper, a comparison between two observers has been made;an adaptive observer and multiobserver for linear time-varying system. This observer has been designed to estimate simultaneously the state space and fau...
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ISBN:
(纸本)9780956715753
In this paper, a comparison between two observers has been made;an adaptive observer and multiobserver for linear time-varying system. This observer has been designed to estimate simultaneously the state space and faults detection (sensors and actors). The convergence of the adaptive observer is implemented under certain condition. An example of a drying blower system is used to show the effectiveness of the proposed observers.
The concept of iterated bilateral Laplace transform (ILT) is used to obtain the frequency response of lineartime-varying (LTV) causal circuits and systems. It is shown that the application of this commonly overlooked...
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ISBN:
(纸本)9781665424615
The concept of iterated bilateral Laplace transform (ILT) is used to obtain the frequency response of lineartime-varying (LTV) causal circuits and systems. It is shown that the application of this commonly overlooked transform is essential in the analysis of time-varyingsystems.
In this paper, we propose a data-driven Model Free Adaptive Control (MFAC) scheme based on Full Form Dynamic linearization (FFDL) for nonlinearsystems. First, using FFDL technique, we transform a nonlinearsystem int...
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ISBN:
(纸本)9781424487363
In this paper, we propose a data-driven Model Free Adaptive Control (MFAC) scheme based on Full Form Dynamic linearization (FFDL) for nonlinearsystems. First, using FFDL technique, we transform a nonlinearsystem into an equivalent linear time-varying system with Pseudo-Partial Derivative vector as time-varying parameters. Second, we construct an indirect adaptive control system for the linear time-varying system. Finally, we analyze the stability and the tracking error of the MFAC scheme, show that all the signals in the closed-loop are bounded provided the parameter variations are small and present the dynamic equation of the tracking error.
The excitation of transverse vibration of an elevator rope is caused by the resonance with the building-sway by an earthquake or wind-induced vibration, hence, a useful active solution for its issue is demanded. In th...
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ISBN:
(纸本)0791847438
The excitation of transverse vibration of an elevator rope is caused by the resonance with the building-sway by an earthquake or wind-induced vibration, hence, a useful active solution for its issue is demanded. In this paper, therefore, the vibration suppression for the elevator rope with the nonstationary sliding mode control using a time-varying switching hyperplane is performed by moving the rope directly near its boundary by use of a control device with gaps between actuator and rope. The nonstationary sliding mode controller has the effectiveness for the control of the object with time-varying characteristics and the robustness for the nonlinearity of the control device. The performance and robustness of the proposed controller are verified through the numerical calculation for the practical case, consequently, the good results are obtained.
For trajectory tracking control of general nonlinearsystems, the most basic strategy might be applying linear control technique to a linear approximate model around the trajectory. However, it seems that this basic m...
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ISBN:
(纸本)9781479947249
For trajectory tracking control of general nonlinearsystems, the most basic strategy might be applying linear control technique to a linear approximate model around the trajectory. However, it seems that this basic method has not been commonly used. This is because this approximate model becomes a time-varyingsystem, and hence, controller design procedure is not simple. The author proposed the simple design procedure of pole placement controller for linear time-varying systems. Furthermore, we also proposed the observer design method for lineartime-varying multi-output systems by applying the pole placement design technique to adjoint systems. In this paper, these design methods will be applied to the trajectory tracking controller design problem for nonlinearsystems by stabilizing some desired trajectory around it.
Due to the recent developments of the "behavioral approach" and of the "module-theoretic approach" of linearsystems, there is a need to clarify and unify the theory of "impulsive motions"...
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ISBN:
(纸本)0780375165
Due to the recent developments of the "behavioral approach" and of the "module-theoretic approach" of linearsystems, there is a need to clarify and unify the theory of "impulsive motions". This is done here using (i) the theory of distributions, (ii) the notion of "temporal interconnection" (interconnection from an initial time or up to a final time) and (iii) some algebraic developments based on the module theory and its relationship with the behavioral representations. The general case of time-varyingsystems is treated. Several examples illustrate the theory.
The UDE (uncertainty and disturbance estimator) based control approach has received increasing attention in recent years due to its simplicity and effectiveness to attenuate the influence of uncertainties and disturba...
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ISBN:
(纸本)9781713872344
The UDE (uncertainty and disturbance estimator) based control approach has received increasing attention in recent years due to its simplicity and effectiveness to attenuate the influence of uncertainties and disturbances. Despite this fact, the trade-off issue of its steady-state performance and transient performance has not been addressed explicitly. A novel time-varying UDE (TV-UDE) is proposed to resolve the trade-off issue in this paper. The main idea behind the design is to use a differential equation with a time-varying parameter, rather than a transfer function, to represent the underlying filtering relationship. By changing the UDE gain smoothly, the performance limitations of a fixed-gain UDE are avoided. Moreover, the TV-UDE is reduced to a classic UDE when its parameter value is finally frozen. Two design specifications are provided to guide the design of the time-varying parameter. We then apply this design to the angular trajectory tracking problem of a 3-DOF helicopter model, and reveal the four time-scales property of the closed-loop dynamics. The advantages of the proposed approach are shown by simulation comparisons.
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