Based on the satisfactory fault-tolerant control strategy, the problem of reliable guaranteed cost control with multiple criteria constraints is investigated for a class of uncertain discrete-time systems subject to s...
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Based on the satisfactory fault-tolerant control strategy, the problem of reliable guaranteed cost control with multiple criteria constraints is investigated for a class of uncertain discrete-time systems subject to sensor faults. The state-feedback controller is developed by linear matrix inequalities approach such that, for all admissible parameters uncertainties and possible sensor faults, the given upper bounds on the amplitudes of controlinput signals be ensured, all the closed-loop poles be placed into the pre-specified regional disk, and the expected quadratic cost performance index as well as the given H-infinity norm index of disturbance rejection level be guaranteed, simultaneously. Thus, with the above multiple criteria constraints, the resulting closed-loop system can provide satisfactory stability, transient property, external disturbance attenuation level and quadratic cost performance, despite the possible sensor faults.
The problem of reliable guaranteed cost control (RGCC) with multiple constraints is investigated against sensor faults for a class of uncertain systems. By linear matrix inequalities (LMI) approach, the state-feedback...
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ISBN:
(纸本)9781424417339
The problem of reliable guaranteed cost control (RGCC) with multiple constraints is investigated against sensor faults for a class of uncertain systems. By linear matrix inequalities (LMI) approach, the state-feedback reliable controller is developed to stabilize the closed-loop system with possible sensor faults and minimize the upper bound of a quadratic cost function. Meanwhile, the upper bounds on the amplitudes of controlinputs and the given bound on H-infinity norm index of disturbance rejection are also guaranteed. Thus, with the above multiple constraints, the resulting closed-loop system can provide satisfactory stability, external disturbance attenuation level and optimized quadratic cost performance despite of possible sensor faults.
The saturated Output-Feedback (OF) control problem for a class of four-state anaerobic digestors with volatile fatty acids (VFAs) measurement is addressed. The reactor must operate about an optimal steady-state, with ...
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The saturated Output-Feedback (OF) control problem for a class of four-state anaerobic digestors with volatile fatty acids (VFAs) measurement is addressed. The reactor must operate about an optimal steady-state, with maximum VFA consumption, that is locally stable but not structurally unstable. The problem is addressed as an interlaced control-observer design within a geometric control framework in the light of passivity, observability, and bifurcation properties. The result is a saturated linear PI OF controller with global robust stability conditions in terms of control gains and limits. The proposed approach is illustrated with a representative case example through numerical simulations.
To solve the regulator problem of a class of uncertain MIMO nonlinear systems subject to controlinput constraint, three types of time-varying sliding mode control laws are proposed. The sliding surfaces pass the init...
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To solve the regulator problem of a class of uncertain MIMO nonlinear systems subject to controlinput constraint, three types of time-varying sliding mode control laws are proposed. The sliding surfaces pass the initial value of the system at the initial time, and are shifted/rotated towards the predetermined ones. The controller parameters are optimized by genetic algorithm (GA). Lyapunov method is adopted to prove the stability and robustness to the parameter uncertainties and external disturbance. By mean of time-varying sliding mode control law, the reaching phase in the conventional sliding mode control is eliminated, and the system is guaranteed to have robustness from the very beginning. Taking the control of two-link manipulator and attitude tracking of rigid spacecraft as two examples, we illustrate the features of the time-varying sliding mode control. The simulation results show the validity of the control law to a class of uncertain MIMO systems. Better robustness against the uncertainties and external disturbance could be achieved by time-varying sliding mode control without violating the constraint on controlinput.
An active flutter suppression using linear saturated control is investigated for a 2dof wing section with nonlinear torsional stiffness and limited deflection amplitude of its single control effector. The suppression ...
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An active flutter suppression using linear saturated control is investigated for a 2dof wing section with nonlinear torsional stiffness and limited deflection amplitude of its single control effector. The suppression of limit cycle oscillations in the nonlinear closed-loop system is achieved through maximization of the stability region of the linearized system. A bifurcation sequence leading to limit cycle disappearance is revealed. With increase of the maximum controlinput amplitude, the closed-loop limit cycle is transformed into a stable torus, which disappears at higher control amplitude through a nonlocal bifurcation similar to a boundary crisis in chaotic systems. Finally, a saddle-node bifurcation of the limit cycle gives necessary conditions for global stability in the closed-loop system.
In the control of an actual plant, there commonly exists a constraint on the controlinput caused by mechanical constraint on the actuator or in order to protect the plant. This constraint usually exerts an adverse ef...
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In the control of an actual plant, there commonly exists a constraint on the controlinput caused by mechanical constraint on the actuator or in order to protect the plant. This constraint usually exerts an adverse effect on control performance, called windup phenomenon. Anti-windup technique is known as one of the most effective techniques to prevent such windup phenomenon. In this paper, we propose a new design of anti-windup controller based on state feedback H(infinity) control theory. This design consists of representation of an anti-windup controller that includes a free parameter, and decision of the free parameter by using state feedback H(infinity) control theory. We also discuss the problem on discretization of an anti-windup controller in implementation. In a numerical case study, we demonstrate the performance of the proposed anti-windup controller by computer simulation. (C) 1998 Scripta Technica, Elects Eng Jpn, 124(1): 33-41, 1998.
In this paper we consider the problem of controlling an uncertain linear time-invariant (LTI) continuous-time plant when there is a controlinput constraint. A switching controller is presented which will carry out as...
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In this paper we consider the problem of controlling an uncertain linear time-invariant (LTI) continuous-time plant when there is a controlinput constraint. A switching controller is presented which will carry out asymptotic error regulation for constant reference and constant disturbance signals which are compatible with the controlinput constraint, assuming that (i) the plant is asymptotically stable, (ii) the plant has no transmission zeros at zero, and (iii) the plant has as many inputs as outputs. This controller is quite easy to implement, especially in the single-input-single-output (SISO) case, and is noise tolerant. Some examples, including a model of a three-input/three-output distillation column, are included to illustrate the controller behaviour.
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