This paper investigates the problem of robust fault detection observer design for nonlinear Takagi–Sugeno models with unmeasurable premise variables subject to sensor faults and unknown bounded disturbance. The main idea is to synthesize a robust fault detection observer by means of a mixed H =H1 performance index. The considered observer is used to estimate jointly states and faults. Using the...

This paper examines the problem of designing a robust H∞ state-feedback controller for a class of uncertain Markovian jump nonlinear singularly perturbed systems described by a Takagi-Sugeno (TS) fuzzy model with Markovian jumps. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain Markovian jump nonlinear singularly perturbed systems to have an ...

In this paper, we consider the guaranteed cost filtering design method for time-varying delay systems with parameter uncertainties by LMI(Linear Matrix Inequality) approach. The objective is to design a stable guaranteed cost filter which minimizes the guaranteed cost of the closed loop system in filtering error dynamics. The sufficient conditions for the existence of filter, the guaranteed cos...

In this paper, the design of a robust static output feedback controller is presented. This problem is transformed to solving of linear matrix inequality (LMI) problems. A computationally simple LMI based non-iterative algorithm is used. The design procedure guarantees with sufficient conditions the robust quadratic stability and guaranteed cost. The presented approach is applied for robust cont...

This paper considers the problems of robust non-fragile control for uncertain discrete-delay large-scale systems under state feedback gain variations. Two classes of controller gain variations are considered. Based on the Lyapunov method, the state feedback control design for robust stability is given in terms of solutions to a linear matrix inequality (LMI). The solutions of the LMI can be eas...

A new robust training law, which is called an input/output-to-state stable training law IOSSTL , is proposed for dynamic neural networks with external disturbance. Based on linear matrix inequality LMI formulation, the IOSSTL is presented to not only guarantee exponential stability but also reduce the effect of an external disturbance. It is shown that the IOSSTL can be obtained by solving the ...

In this paper we present a design method of Sliding Mode Observer (SMO) applied to reconstruct both actuator and sensor faults for a class of output time-delay systems. To guarantee the quadratically stability of the estimation error dynamics, sufficient conditions are developed with the LyapunovKrasovskii approach arising a set of Linear Matrix Inequality (LMI) optimization. Applying the equiv...

This paper provides an exact linear matrix inequality (LMI) condition for robust asymptotic stability of uncertain systems depending polynomially on a scalar parameter in both continuous-time and discrete-time cases. Specifically, this condition exploits sum of squares (SOS) techniques and is based on the construction of polynomials of known degree that detect the presence of eigenvalues on the...

This paper presents a systematic approach for decreasing conservativeness in stability analysis and control design for Takagi–Sugeno (TS) systems. This approach is based on the idea of multiple Lyapunov functions together with simple techniques for introducing slack matrices. Unlike some previous approaches based on multiple Lyapunov functions, both the stability and the stabilization condition...

In this paper new sufficient conditions are presented for the existence of a Lyapunov pair with a coupling rank constraint within a H∞ minimization framework derived using the bounded real lemma and the projection lemma. The conditions are then used to propose a Linear Matrix Inequality (LMI) sub-optimal method to solve the model order reduction problem of general non-square LTI systems with a ...