this paper studies the consensus problem of nonlinear leader-following multi-agent systems (mas). to do this, the error dynamics between the leader agent and follower ones are described via a takagi-sugeno (ts) fuzzy model. if the obtained ts fuzzy model is stable, then all of the nonlinear agents reach consensus. the consensus problem is investigated based on the parameterized or fuzzy lyapuno...

The H∞ dynamic output feedback controller design of linear neutral delay systems is studied using Lyapunov-Krasovskii stability theory and linear matrix inequality approach. Based on feasibility positive definite solution to the linear matrix inequalities, we first develop a delay-independent stability criterion and a sufficient condition which makes the system asymptotically stable and guarant...

model order reduction is known as the problem of minimizing the -norm of the difference between the transfer function of the original system and the reduced one. in many papers, linear matrix inequality (lmi) approach is utilized to address the minimization problem. this paper deals with defining an extra matrix inequality constraint to guarantee that the minimum phase characteristic of the sys...

This paper presents a new controller for speed control problem of the BLDC motors. The nonlinear model of the motor is approximated by implementation of fuzzy rules. The uncertainties are considered in the fuzzy system. Using this model and linear matrix inequality (LMI) optimization, a robust controller for purpose of speed control of the motor has been designed and applied to it. The effectiv...

This paper is concerned with a matrix inequality problem which arises in xed order output feedback control design. This problem involves nding two symmetric and positive deenitive matrices X and Y such that they each satisses a linear matrix inequality and that XY = I. It is well-known that many control problems such as xed order output feedback stabilization, H 1 control, guaranteed H 2 contro...

In this paper we study frequency dependent error bounds for comparison and simpliication of models with uncertainty. The uncertainty is described by quadratic constraints and the error bounds are calculated based on solutions to linear matrix inequalities.

This paper proposes performance criteria for linear systems with Markovian jumping parameters. Exact convex conditions for internal stability and contractiveness of such systems are expressed in the form of linear matrix inequalities.

this paper proposes a new method of gain scheduling control design for a nonlinear system which is described as linear parameter varying form. a performance measure based on linear matrix inequality is introduced. to consider stability and performance measures in design process, the h∞ loop-shaping method is used to design the local controllers, which can be described as state feedback observer...