This paper proposes a robust sliding mode observer for a class of linear uncertain systems to generate a reconstruction of faults. The state estimation error of the proposed observer is shown to be uniformly ultimately bounded with respect to a ball whose radius is a function of design parameters. An exact fault reconstruction scheme that is decoupled from the uncertainty is presented. In simul...

We study the global asymptotic stabilization by output feedback for systems whose dynamics are in a feedback form where the nonlinear terms admit an incremental rate depending only on the measured output. The output feedback we consider is of the observer-controller type where the design of the controller follows from standard robust backstepping. As far as we know, the novelty is in the observ...

This paper is concerned with the function observer-based stabilization for time-varying delay systems with parameter uncertainties. The uncertain systems tackled in this paper involve uncertainty in quadratic constrained form which includes the well-known normbounded time-varying uncertainty as a special case. In terms of Razumikhin-type stability theorem, we show that the feasibility of severa...

In this paper, the robust observer-based control for a class of uncertain linear systems is considered. Exponential stabilizability for systems is studied and the convergence rate of system is given. Linear matrix inequality (LMI) approach is used to design the feedback control. The control and observer gains are given from the LMI formulations. A numerical example is given to illustrate our re...

A robust circle criterion observer is designed and applied to neural mass models. At present, no existing circle criterion observers apply to the considered models, i.e. the required linear matrix inequality is infeasible. Therefore, we generalise available results to derive a suitable estimation algorithm. Additionally, the design also takes into account input uncertainty and measurement noise...

This paper proposes an integrated actuator and sensor active fault-tolerant model predictive control (FTMPC) scheme. In this scheme, fault detection (FD) is implemented by using a set-valued observer, fault isolation (FI) is done by set manipulations and faulttolerant control (FTC) is carried out through the design of a robust model predictive control (MPC) law. In this paper, a set-valued obse...

The problem of unknown input observer design is considered for coupled PDE/ODE systems subject to incremental sector bounded nonlinearities and boundary inputs. Assuming available measurements at the distributed domain, synthesis based on Lyapunov methods recast in terms some matrix inequalities. Numerical simulations support confirm theoretical findings, illustrating robust estimation performa...

In this paper, the concept of command-tostate/output mapping is introduced for robust estimation under output feedback. Speci£cally, robust estimation is achieved if a command-to-state mapping of the plant converges to that of an uncertainty-free observer. It is shown using the Lyapunov direct method that, for a command-to-state mapping to be convergent, the Jacobian system corresponding to the...

—This paper presents a new stable robust adaptive controller and observer design for a class of nonlinear systems that contain i. Coupling of unmeasured states and unknown parameters ii. Unknown dead zone at the system actuator. The system is firstly cast into a modified form in which the observer and parameter estimation become feasible. Then a stable robust adaptive controller, state observer...