This paper presents a robust control algorithm for plants involving both internal (i.e., in the state) and external (i.e., in the output or input) known point delays. Several stabilizing controller structures are given and analyzed for the case of perfectly modelled plants with known parameters. The plant is assumed to be of known order and relative order. The parametrized parts of two of the c...

This paper presents an algebraic method to design a dynamic gain unknown input observer for linear systems with commensurate delays in state, input and output variables. Necessary and sufficient conditions for the existence of such an observer are provided as well as a constructive procedure. An example is given in order to illustrate the proposed method.

Abstract: The robust control problem for linear systems with parameter uncertainties and time-varying delays is examined. By using an appropriate uncertainty description, a linear state feedback control law is found ensuring the closed-loop system’s stability and a performance measure, in terms of the guaranteed cost. An LMI objective minimization approach allows to determine the ”optimal” choi...

This paper addresses the robust H∞ fuzzy control problem for nonlinear uncertain systems with state and input time delays through Takagi–Sugeno (T–S) fuzzy model approach. The delays are assumed to be interval time-varying delays, and no restriction is imposed on the derivative of time delay. Based on Lyapunov–Krasoviskii functional method, delay-dependent sufficient conditions for the existenc...

Based on T-S fuzzy model, the robust guaranteed cost control problem is studied for a class of uncertain singular systems with state and input delays. Sufficient conditions are provided for the construction of a state feedback guaranteed cost controller. These conditions are given in terms of the feasibility of linear matrix inequalities (LMIs) and guarantee that the closed-loop systems are qua...

We consider general nonlinear systems with time-varying input and state delays for which we design predictor-based feedback controllers. Based on a time-varying infinitedimensional backstepping transformation that we introduce, our controller achieves global asymptotic stability in the presence of a time-varying input delay, which is proved with the aid of a strict Lyapunov function that we con...

this paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space takagi-sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. lyapunov krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...

In this note we present sufficient conditions to guarantee the passivity of linear systems with state, input and output delays in Hilbert spaces. Our approach is mainly based on the transformation of such systems into distributed parameter systems.

Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...

Abstract. This paper investigates the observer-based robust adaptive control problem for a class of stochastic Hamiltonian systems. The systems under consideration relate to parameter uncertainties, unknown state time-delay and input delay. The purpose is to design a delay-dependent observerbased adaptive control law such that for all admissible uncertainties, as well as stochasticity, the clos...