We study global finite-dimensional observer-based stabilization of a semilinear 1D heat equation with globally Lipschitz semilinearity in the state variable. consider Neumann actuation and point measurement. Using dynamic extension modal decomposition we derive nonlinear ODEs for modes state. propose controller that is based on Luenberger observer. Our Lyapunov H1-stability analysis leads to LM...

Artificially regulating gene expression is an important step in developing new treatment for system-level disease such as cancer. In this paper, we propose a method to regulate gene expression based on sampled-data measurements of gene products concentrations. Inherent noisy behaviour of Gene regulatory networks are modeled with stochastic nonlinear differential equation. To synthesize feed...

Keywords: Distributed parameter systems Lyapunov method Time-delays Sampled-data control LMIs a b s t r a c t We develop sampled-data controllers for parabolic systems governed by uncertain semilinear diffusion equations with distributed control on a finite interval. Such systems are stabilizable by linear infinite-dimensional state-feedback controllers. For a realistic design, finite-dimension...

In this article, we consider the finite-time mixed H ∞ /passivity, stability, and boundedness for generalized neural networks with interval distributed discrete time-varying delays. It is noted that first time studying in combination of , passivity, boundedness. To obtain several sufficient crit...

Robotic manipulators are widely used in applications that require fast and precise motion. Such devices, however, prompt to nonlinear control issues due the flexibility joints friction motors within dynamics of their rigid part. To address these issues, Linear Matrix Inequalities (LMIs) Parallel Distributed Compensation (PDC) approaches implemented Takagy-Sugeno Fuzzy Model (T-SFM). We propose ...

This paper addresses the delay-dependent Takagi-Sugeno (T-S) fuzzy state feedback control and exponential admissibility analysis for a class of T-S singular uncertain systems. Firstly, model is employed to approximate system with time-varying delay, saturation input unmatched disturbance. Secondly, controller designed by employing model. Thirdly, free-weighting matrices Lyapunov-Krasovskii func...

This paper treats the problem of approximating an n order system by a system of order . An algorithm based on the matrix inequality framework is derived to solve the frequency weighted -norm model reduction problem. The aim of the optimization algorithm is to minimize the weighted -norm of the difference between the main system and the reduced one. The feature of the method is that it can be ap...

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 ...

This paper proposes a novel robust predictive control synthesis technique for constrained nonlinear systems based on linear matrix inequalities (LMIs) formalism. Local discrete-time polytopic models have been exploited for prediction of the system behavior. This design strategy can be applied to a wide class of nonlinear systems provided a suitable embedding is available. The devised procedure ...