Abstract: In this paper a state feedback controller is designed to stabilize a discrete-time nonlinear and uncertain system. The Takagi Sugeno (TS) fuzzy model with norm-bounded uncertainties is considered for modelling the nonlinear system. Beyond stability, a mixed (LQ/H∝) index is also considered, which simultaneously guarantees an upper bound of LQ cost and is robust for unknown external di...

This paper addresses the stabilization problem of discrete switched linear systems. When the mode is available, a mode-dependent state feedback controller is developed. The main contribution of this note is to provide a less conservative approach to design the mode-independent state feedback controller where the switching mode is not accessible. Both design procedures are expressed in terms of ...

We introduce a new output feedback controller for general MIMO nonlinear systems which are only observable on regions of the state and input spaces. Unlike previous approaches, we do not add integrators at the input side of the system, and thus avoid the need to design a stabilizing control law for a higher order system. Robustness with respect to a class of time-varying disturbances is guarant...

This paper is concerned with the problem of robust peak-to-peak gain minimization by linear matrix inequality (LMI) approach. Instead of minimizing the robustly induced L∞-norm, we minimize its upper bound. Results on the state-feedback controllers are obtained by this approach, and the controllers are at most the same order as the plant. One of the main results shows that if there exists a lin...

Abstract: Networked Control Systems (NCS) is a control system in which the sensors, controllers, and the actuators are connected via communication network. The use of communication network will lead to intermittent losses or delays of the information and may decrease the performance and cause instability. This paper presents the design of H∞ state feedback controller for NCS. The NCS is modelle...

We address the problem of exponential stabilization in probability of the linearized Navier–Stokes equations in an equilibrium point. This is done by designing a linear stochastic feedback controller with support in a point or on a discrete set of points of the domain. This controller consists of steady-state impulse component with support in a finite set of points modulated by an unsteady feed...

This paper discusses a design problem of a variable gain robust controller with guaranteed L 2 gain performance for a class of uncertain switched linear systems. The uncertainties included in the switched linear system under consideration are supposed to satisfy the matching condition and the proposed variable gain robust controller consists of a switching rule, a state feedback law with fixed ...

This paper develops a design method of recurrent fuzzy neural network (RFNN) control system for multi-input multi-output (MIMO) nonlinear dynamic systems. This control system consists of a state feedback controller and an RFNN controller. The state feedback controller is a basic stabilizing controller to stabilize the system, and the RFNN controller presents a robust controller to deal with unc...

We consider the coupling of two nonidentical dynamical systems using an adaptive feedback linearization controller to achieve partial synchronization between the two systems. In addition we consider the case where an additional feedback signal exists between the two systems, which leads to bidirectional coupling. We demonstrate the stability of the adaptive controller, and use the example of co...