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In this paper, a robust stabilization of the uncertain singularly perturbed system via a networked state feedback with the transmission time-delay is addressed. Taking its nominal system as a model plant, propagation unit and overall states chosen to overcome the difficulty of communication delay, the characterization of singular perturbation for the overall hybrid system is still preserved on each...
This paper gives a new procedure for robustness analysis of linear time-invariant (LTI) systems whose state space coefficient matrices depend polynomially on multivariate uncertain parameters. By means of dual linear matrix inequalities (LMIs) that characterize performance of certain LTI systems, we firstly reduce these analysis problems into polynomial matrix inequality (PMI) problems. However, these...
This paper presents a general impulsively-coupled complex dynamical network (ICCDN) model with parametric uncertainty and time-varying delays. Robust synchronization of the ICCDN with uncertainty and delays is investigated. Based on the Lyapunov stability theory, delay-independent synchronization conditions for the ICCDN with uncertainty and delays are obtained. A systematic-design procedure is presented,...
The problem of robust feedback control of spatially distributed processes described by highly dissipative partial differential equations (PDEs) is considered. Typically, this problem is addressed through model reduction where finite dimensional approximations to the original PDE system are derived. A common approach to this task is the Karhunen-Loeve expansion combined with the method of snapshots...
Aiming at the influence of parameter uncertainty on the control system, two design methods of robust controller are presented to design output feedback controllers, regarding the ball grinding mill system to be the research object. One is the reversed-frame normalizing (RFN) method, which is based on the matrix singular value decomposition. Through setting the desirability objective function, the...
The physical parameters of controlled systems are uncertain and are accompanied by nonlinearity. The transfer function and the characteristic polynomial should, therefore, be expressed by interval (polytopic) polynomials, regardless of whether the input-output signals are continuous or discrete in time. This paper evaluates the robust stability of discrete-time control systems based on the existing...
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