This paper proposes a linear matrix inequality (LMI)-based adaptive barrier global sliding mode control (ABGSMC) for uncertain systems with faulty actuators. The proposed approach is derived using novel nonlinear surface to guarantee the dynamic property and ensure system stability occurrence of in presence actuator faults. optimal coefficients are determined LMI method. system’s asymptotic pro...

In this paper, based on linear matrix inequality (LMI), by using Lyapunov functional theory, the exponential stability criterion is obtained for a class of uncertain Takagi-Sugeno fuzzy Hopfield neural networks (TSFHNNs) with time delays. Here we choose a generalized Lyapunov functional and introduce a parameterized model transformation with free weighting matrices to it, these techniques lead ...

In this paper, the problem of sliding mode controller design for uncertain multi-input systems with several fixed state delays is addressed. A combined sliding mode controller is considered and it is designed for the stabilization of perturbed multi-input timedelay systems with matched parameter uncertainties and external disturbances. Delay-independent stability conditions are derived by using...

This paper presents a stability criterion for global asymptotic stability of the equilibrium point for Bidirectional Associative Memory (BAM) neural networks with fixed time delays. An approach combining the Lyapunov-Krasovskii functional with Linear Matrix Inequality (LMI) is taken to investigate the stability of the system. A delay-dependent LMI criterion is derived. Finally, a numerical exam...

Explicit MPC of constrained linear systems is known to result in a piecewise affine controller and therefore also piecewise affine closed loop dynamics. The complexity of such analytic formulations of the control law can grow exponentially with the prediction horizon. The suboptimal solutions offer a trade-off in terms of complexity and several approaches can be found in the literature for the ...

This paper deals with the stabilization design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy model-based control systems. A stabilization design based on fuzzy Lyapunov function and a non-parallel distributed compensation (non-PDC) control law has been proposed. Sufficient stabilization conditions are derived. The conditions for the solvability of the state feedback controlle...

Takagi-Sugeno (TS) fuzzy modeling and control techniques are applied to the classical nonlinear Ball and Beam problem. The nonlinear model is segmented to different local linear models. Local controllers are hence designed using LMI theory for achieving a robust control behavior for ball position. TS fuzzy modeling is applied to generate suitable fuzzy models, and the associated controllers. Us...

In this paper, we propose new LMI-based conditions for robust stability/performance analysis of linear timeinvariant (LTI) uncertain systems. To get around the conservatism of existing conditions resulting from Lyapunov’s stability theory, we first consider to employ Lyapunov functions that can be associated with higher-order derivatives of the state vectors. This motivates us to introduce a re...

Systems with delays are a specific group of dynamic systems. The fact that some delays can be short and some can be long makes system analysis and control design much more complex. In this paper we present a proposal to solve the problem of stability and control design of continuous time systems with time-varying delays. Based on the Lyapunov-Krasovskii functional the stability condition is der...

This paper presents a new nite-dimensional linear matrix inequality (LMI) formulation for the induced L2-norm synthesis of linear parameter-varying (LPV) systems. The approach is based on a nonsmooth dissipative systems theory using a continuous, quasi-piecewise a ne parameter-dependent Lyapunov function. The new method is less conservative than previously published techniques based on either a...