This paper is concerned with the problems of robust stochastic stabilization and robust H1 control for uncertain discrete-time stochastic bilinear systems with Markovian switching. The parameter uncertainties are time-varying norm-bounded. For the robust stochastic stabilization problem, the purpose is the design of a state feedback controller which ensures the robust stochastic stability of th...

An extended robust model predictive control approach for input constrained discrete uncertain nonlinear systems with time-delay based on a class of uncertain T-S fuzzy models that satisfy sector bound condition is presented. In this approach, the minimization problem of the “worst-case” objective function is converted into the linear objective minimization problem involving linear matrix inequa...

This paper investigates the fault detection problem for a class of discrete-time networked systems. Three kinds of typically encountered incomplete measurements induced by the limited-capacity communication channel are simultaneously considered, which include 1) measurements with communication delays; 2) measurements with data missing; and 3) measurements with signal quantization. Attention is ...

We develop, for the first time, sampled-data Hcontrol for a class of parabolic systems. These systems are governed by semilinear transport reaction equations with additive disturbances and with distributed control on a finite interval. We suggest a sampled-data controller design, where the sampling intervals in time and in space are bounded. The network of N stationary sensing devices provide...

In this paper, we propose novel LMI conditions for the stability and l2 gain performance analysis of discrete-time linear periodically time-varying (LPTV) systems. These LMIs are convex with respect to all of the coefficient matrices of the LPTV systems and this property is promising when we deal with several control system analysis and synthesis problems. For example, we can apply those LMIs s...

By combing the theories of the switched systems and the interval neural networks, the mathematics model of the switched interval neural networks with discrete and distributed timevarying delays of neural type is presented. A set of the interval parameter uncertainty neural networks with discrete and distributed time-varying delays of neural type are used as the individual subsystem, and an arbi...

This paper addresses the problem of designing an optimal modified repetitive controller for a strictly proper plant with time-varying uncertainties to reject positiondependent disturbances. A modified repetitive controller with time-varying delay structure, inserted by a low-pass filter and an adjustable parameter, is developed for this class of system. Two linear matrix inequalities (LMIs)-bas...

We consider the problem of controlling nonlinear systems which are modeled as a set of piecewise linear (PL) or affine systems using model predictive control (MPC). The paper reviews recent results on the analysis and control of PL systems, which can model a wide range of practically relevant nonlinear systems. Using techniques from the theory of linear matrix inequalities (LMIs), we develop a ...