In this paper, a new approach is presented for finite-time control problems for linear systems subject to time-varying parametric uncertainties and exogenous disturbance. The disturbance is assumed to be time varying ...In this paper, a new approach is presented for finite-time control problems for linear systems subject to time-varying parametric uncertainties and exogenous disturbance. The disturbance is assumed to be time varying and bounded. Sufficient conditions are obtained for the existence of a linear parameter-dependent state feedback gain, which can ensure that the closed-loop system is finite-time bounded （FTB）. The conditions can be reduced to feasibility problems involving LMIs. Numerical examples show the validity of the proposed methodology.展开更多
Delay-dependent robust stability of cellular neural networks with time-varying discrete and distributed time-varying delays is considered. Based on Lyapunov stability theory and the linear matrix inequality （LMIs） t...Delay-dependent robust stability of cellular neural networks with time-varying discrete and distributed time-varying delays is considered. Based on Lyapunov stability theory and the linear matrix inequality （LMIs） technique, delay-dependent stability criteria are derived in terms of LMIs avoiding bounding certain cross terms, which often leads to conservatism. The effectiveness of the proposed stability criteria and the improvement over the existing results are illustrated in the numerical examples.展开更多
The robust stability of systems under both plant and controller perturbations is analyzed, with an emphasis on additivenorm-bounded perturbation. Choosing the interconnection matrix M makes Δ(s) block diagonal matric...The robust stability of systems under both plant and controller perturbations is analyzed, with an emphasis on additivenorm-bounded perturbation. Choosing the interconnection matrix M makes Δ(s) block diagonal matrices and absorbing any matrix makes ‖Δ(s)‖∞<1, the problem can be recast into a small structured singular value (μ) problem. If 2S + F ≤ 3, μ(M) = infσ(DMD-1). In this paper, the main result is supωμ(M)=‖M‖∞, thus the structured singular value(μ) problem for robust stability of SISO systems subject to additive norm-bounded perturbation, can be recast into H∞ control problem. Moreover, robust stability of MIMO systems can be unified in the same framework.展开更多
基金the Scientific Innovation Team Project of Hubei Provincial Department of Education (T200809)the Science Foundationof Education Commission of Hubei Province (No. D20081306)the Doctoral Pre-research Foundation of Three Gorges University
文摘In this paper, a new approach is presented for finite-time control problems for linear systems subject to time-varying parametric uncertainties and exogenous disturbance. The disturbance is assumed to be time varying and bounded. Sufficient conditions are obtained for the existence of a linear parameter-dependent state feedback gain, which can ensure that the closed-loop system is finite-time bounded （FTB）. The conditions can be reduced to feasibility problems involving LMIs. Numerical examples show the validity of the proposed methodology.
文摘Delay-dependent robust stability of cellular neural networks with time-varying discrete and distributed time-varying delays is considered. Based on Lyapunov stability theory and the linear matrix inequality （LMIs） technique, delay-dependent stability criteria are derived in terms of LMIs avoiding bounding certain cross terms, which often leads to conservatism. The effectiveness of the proposed stability criteria and the improvement over the existing results are illustrated in the numerical examples.
基金Sponsored by the National Natural Science Foundation(69904003) and RFDP(1999000701)
文摘The robust stability of systems under both plant and controller perturbations is analyzed, with an emphasis on additivenorm-bounded perturbation. Choosing the interconnection matrix M makes Δ(s) block diagonal matrices and absorbing any matrix makes ‖Δ(s)‖∞<1, the problem can be recast into a small structured singular value (μ) problem. If 2S + F ≤ 3, μ(M) = infσ(DMD-1). In this paper, the main result is supωμ(M)=‖M‖∞, thus the structured singular value(μ) problem for robust stability of SISO systems subject to additive norm-bounded perturbation, can be recast into H∞ control problem. Moreover, robust stability of MIMO systems can be unified in the same framework.
