<正>This paper considers robust performance analysis and state feedback H∞ controller design for a class of systems with time-varying and nonlinear uncertainties. A sufficient condition based on LMI is provided to ...
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<正>This paper considers robust performance analysis and state feedback H∞ controller design for a class of systems with time-varying and nonlinear uncertainties. A sufficient condition based on LMI is provided to judge their robust stability and finite L2-gain property. Solvable conditions are presented for the state feedback design problems. It is shown that this robust H∞ control problem is solvable if and only if a nominal H∞ problem is solvable, and the solution is given in terms of LMIs. The design procedure can also be presented via LMI approach.
<正>In this note, we introduce a new feedback controller architecture-GIMC structure. It works in such a way that the feedback control system will be solely controlled by the performance controller when there is no ...
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<正>In this note, we introduce a new feedback controller architecture-GIMC structure. It works in such a way that the feedback control system will be solely controlled by the performance controller when there is no model uncertainties and external disturbances and the robustification controller will be active when there are model uncertainties or external disturbance. The synthesis procedure for the parameters of the fault-tolerant scheme is carried out by using tools of robust control theory. Finally, the GIMC structure is applied to velocity loops in motion control to improve the performance of the closed-loop systems. Some experimental results are reported.
This paper investigates the leader-following output consensus problem of heterogeneous multi-agent systems(MASs)in the presence of unknown parameters and unmodeled dynamics under directed topology. An event-triggere...
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This paper investigates the leader-following output consensus problem of heterogeneous multi-agent systems(MASs)in the presence of unknown parameters and unmodeled dynamics under directed topology. An event-triggered design framework based on the distributed observer and the distributed robust adaptive controller is developed to decouple the leader-following consensus problem of unknown heterogeneous MASs into the cooperative tracking problem of the proposed reference models to the leader system and the local tracking problem of the agents to the reference models. An distributed event-triggering mechanism is developed to avoid continuous communication between neighboring agents. It is shown that under the proposed design framework, the tracking errors between agents and the leader will converge to a residual set. Finally, an example is presented to show the effectiveness of the proposed design framework.
The robust stability analysis of discrete time systems with fast time varying uncertainties is considered in this paper. The necessary and sufficient conditions for quadratic stability are presented. Moreover, the s...
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The robust stability analysis of discrete time systems with fast time varying uncertainties is considered in this paper. The necessary and sufficient conditions for quadratic stability are presented. Moreover, the stability robustness index is introduced as the measurement of the stability robustness. For the systems with given uncertain parameter bounds, checking the necessary and sufficient conditions and calculating the stability robust index are converted to solving minimax problems. It is shown that the maximization can be reduced to comparisons between the functional values of the corners when the parameter region is bounded by hyperpolydredon, and any local minimum value in the minimization is exactly the global minimum.
Aim To study the optimal guaranteed cost control problem via static output feedback for uncertain linear discrete time systems with norm bounded parameter uncertainty in both the state and the control input matric...
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Aim To study the optimal guaranteed cost control problem via static output feedback for uncertain linear discrete time systems with norm bounded parameter uncertainty in both the state and the control input matrices of the state space model. Methods\ An upper bound on a quadratic cost index was found for all admissible parameter uncertainties and minimized by using Lagrange multiplier approach. Results and Conclusion\ Sufficient conditions are given for the existence of a controller guaranteeing the closed loop system quadratic stability and providing an optimized bound. A numerical algorithm for solving the output feedback gain is also presented.
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