Improved Delay-Dependent Stability Conditions for MIMO Networked Control Systems with Nonlinear Perturbations

Abstract

This paper provides improved time delay-dependent stability criteria for multi-input and multi-output (MIMO) network control systems (NCSs) with nonlinear perturbations. Without the stability assumption on the neutral operator after the descriptor approach, the new proposed stability theory is less conservative than the existing stability condition. Theoretical proof is given in this paper to demonstrate the effectiveness of the proposed stability condition.

Type-2 fuzzy logic control based MRAS speed estimator for speed sensorless direct torque and flux control of an induction motor drive

“…The structure of a T2FLC is very similar to the structure of a T1FLC and the difference exists in the crisp output value block. In the T1FLC, the output value block contains only a defuzzifier, whereas in the T2FLC, the crisp output processing value block includes a type reducer (Type-2 reducer or Type-1 fuzzy sets) [31][32][33][34][35][36][37][38][39][40]. A type-reducer is required to convert the output value of the fuzzy inference engine into Type-1 fuzzy sets called type-reduce set and it is defuzzified to obtain the crisp output value.…”

“…However, the PIC scheme unable to provide the satisfactory performance under sudden change in speed and various load torque disturbance conditions, respectively. Therefore, adaptive control based adaptation mechanism schemes are highly desirable to get high performance sensorless drive, such as sliding mode controller (SMC) [12] [16][17][18], T1FLC [19][20][21][22][23][24][25][26][27] and T2FLC [28][29][30][31][32][33][34][35][36][37][38][39][40]. The SMC is a nonlinear control and offers good steady state as well as transient performance.…”

“…However, the Type-1 fuzzy sets are certain and unable to work effectively when higher degree of uncertainties presents in the system which can be caused by sudden change in speed or different load disturbances, process noise etc. [28][29][30][31][32][33][34][35][36][37][38][39][40]. Therefore, a new T2FLC based adaptation scheme is proposed to overcome with the above drawbacks and also it is robust to various load torque and sudden change in speed disturbances, respectively.…”

Robust stability analysis of fractional-order uncertain singular nonlinear system with external disturbance

“…Nonlinear systems and control [10][11][12][13] have been widely investigated in recent decades. Stability and stabilization theorems of FO systems [5,6] have received increasing attention in recent years.…”

Robust Control of the Knee Joint Angle of Paraplegic Patients considering Norm-Bounded Uncertainties

“…As mentioned in [9] "Complex control systems have been recently employed to control the communications among computers, controllers, and sensors due to the enlarging scale of control systems in nowadays applications. " Nowadays, it is a very important issue for dynamic systems design.…”