Abstract—This paper addresses the problem of state and faults estimation for Takagi-Sugeno nonlinear systems. Based on this structure for modeling, a proportional integralmultiple observer with unknown inputs is proposed in order to estimate simultaneously the state variables and actuator and sensor faults. Estimation error dynamics stability is studied with the Lyapunov theory and the observer...

This paper deals with the problem of H∞ and robust H∞ control, via dynamic output feedback, of continuous time Active Fault Tolerant Control Systems with Markovian Parameters (AFTCSMP) subject to structured parameter uncertainties. The above problematic are addressed under a convex programming approach. Indeed, the fundamental tool in the analysis is an LMI (Linear Matrix Inequalities) characte...

This paper addresses computer control under time-varying sampling period and delayed actuation. The proposed approach uses time-varying observers and state feedback controllers designed by means of linear matrix inequalities (LMI) and quadratic Lyapunov functions. The use of non-stationary Kalman filters is also discussed. A separation principle applies in some cases. A DC motor control setup s...

A methodology is proposed for the analysis and design of a robust gainscheduled Model predictive Controllers (MPC) for nonlinear chemical processes. The stability and performance tests can be formulated as a finite set of linear matrix inequalities (LMI). A simulation study of a 2x2 system indicates that this approach can provide useful robust controllers, which guarantee closed-loop robust sta...

This paper provides conditions for H∞ control of discrete-time nonlinear descriptor models. The nonlinear model is represented by a Takagi-Sugeno one. Conditions are given in terms of linear matrix inequalities. Relaxed conditions are obtained via delayed Lyapunov functions and delayed control laws. Such an approach allows adding extra decision variables without increasing the number of LMI con...

The paper provides conditions for constrained dynamic output feedback controller to be cost guaranteeing and assuring asymptotic stability for both continuous and discrete-time systems with quadratically constrained nonlinear/uncertain elements. The conditions are formulated in the form of matrix inequalities, which can be rendered to be linear fixing one of the scalar parameters. An abstract m...

The discrete-time uncertain system with time delay is investigated for bounded input bounded output (BIBO). By constructing an augmented Lyapunov function, three different sufficient conditions are established for BIBO stabilization. These conditions are expressed in the form of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using Matlab LMI Toolbox. Two numerical...

The paper deals with the problem of nonlinear fuzzy observers for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models with local nonlinear terms. On the basis of the Lyapunov stability criterion and incremental quadratic inequalities, the sufficient LMI design conditions are outlined. Numerical example is given to illustrate the procedure and to validate the perfor...

This paper is concerned with stabilization problem of continuous-time Takagi-Sugeno fuzzy systems. To do this, the stabilization problem is investigated based on the new fuzzy Lyapunov functions (NFLFs). The NFLFs depend on not only the fuzzy weighting functions but also their first-time derivatives. The stabilization conditions are derived in terms of linear matrix inequalities (LMIs) which ca...

The problem of delay-dependent robust exponential stability is investigated for uncertain singular systems with state delay. In terms of linear matrix inequality (LMI) approach, some improved delay-dependent conditions are presented to ensure the considered system to be regular, impulse free and exponentially stable via an augmented Lyapunov functional and tighter integral inequalities. Numeric...