Dissipative Control for Nonlinear Neutral Delay Systems

2011 ◽  
Vol 48-49 ◽  
pp. 439-442
Author(s):  
Long Liu ◽  
Ming Li
Keyword(s):  
Controller Design ◽  
Design Method ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Linear Matrix ◽  
Neutral Delay ◽  
Static State ◽  
Neutral Delay Systems ◽  
Dissipative Control ◽  
Static State Feedback

The problem of delay-dependent dissipative control for nonlinear neutral delay systems is dealt with. We develop the design method of dissipative static state feedback controller such that the closed-loop system is absolutely stable and strictly-dissipative. Sufficient conditions for the existence of the quadratic dissipative controller are obtained by using linear Matrix Inequality(LMI) approach. Furthermore, a procedure of constructing such a controller from the solution of LMI is given. It is shown that the solvability of a dissipative controller design is implied by the feasibility of LMIs.

A Class of Uncertain Networked Control Systems with Robust H∞ Fault-Tolerant

2014 ◽  
Vol 912-914 ◽  
pp. 1065-1068
Author(s):  
Li Ming Zhu ◽  
Zong Da Zhu ◽  
Yong Gang Yan
Keyword(s):  
Controller Design ◽  
Fault Tolerant ◽  
Design Method ◽  
Sufficient Conditions ◽  
Networked Control System ◽  
Networked Control ◽  
Linear Matrix ◽  
Sensor Failure ◽  
Static State ◽  
The Impact

T For the networked control system (NCS), the considered system has actuator and sensor failures. In considering the impact of the network delay on system performance, establish a new class of uncertain NCS fault model Then use Lyapunov stability theory, fault-tolerant control theory and the static state feedback, the sufficient conditions for closed-loop NCS possessing robust asymptotically stable against actuator and sensor failure are given . And the robust H-inf fault-tolerant controller design method under the sensor and actuator failures is deduced in terms of linear matrix inequalities (LMI). An numerical simulation is provided to show the effectiveness of the proposed conclusion.

scholarly journals Anti-Saturation Control of Uncertain Time-Delay Systems with Actuator Saturation Constraints

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 375
Author(s):  
Hejun Yao
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Actuator Saturation ◽  
Design Method ◽  
Lyapunov Stability Theory ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Saturation Control ◽  
Systems Model

The problem of anti-saturation control for a class of time-delay systems with actuator saturation is considered in this paper. By introducing appropriate variable substitution, a new delay time-delay systems model with actuator saturation systems is established. Based on the Lyapunov stability theory, the stability condition and the anti-saturation controller design method are obtained by using the linear matrix inequality approach. By introducing the matrix into the Lyapunov function, the proposed conditions are less conservative than the previous results. Finally, a simulation example shows the validity and rationality of the method.

Guaranteed Cost Control Approach for a Class of T-S Fuzzy Descriptor Delay Systems

2012 ◽  
Vol 241-244 ◽  
pp. 1148-1153 ◽  
Author(s):  
Wei Hua Tian ◽  
Li Xia Li ◽  
Wei Deng ◽  
Yan Zhao
Keyword(s):  
Controller Design ◽  
Sufficient Conditions ◽  
Descriptor Systems ◽  
Delay Systems ◽  
Linear Matrix ◽  
Control Approach ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
Takagi Sugeno ◽  
Varying Delay

A new guaranteed cost controller design approach for a class of Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delay is presented. Based on the fuzzy rules and weights, the less conservative sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities (LMIs). This method includes the interactions of the different subsystems into one matrix. And the design of optimal guaranteed cost controller can be formulated to a convex optimization problem. At last, a numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.

scholarly journals Reliablel2–l∞andH∞Control for Nonlinear Singular Systems via Dynamic Output Feedback

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Lin Li ◽  
Yuting Kang
Keyword(s):  
Controller Design ◽  
Design Method ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Dynamic Feedback ◽  
Nonlinear Controller ◽  
Dynamic Feedback Control ◽  
Disturbance Attenuation Level

The reliablel2–l∞andH∞control for a class of Lipschitz nonlinear discrete-time singular systems with time delay is investigated via dynamic feedback control. The main goal of this paper is to design a generalized nonlinear controller such that, for possible actuator failures, the closed-loop system is regular, casual, and stable with a givenl2–l∞andH∞disturbance attenuation level being satisfied. Some sufficient conditions are obtained in terms of linear matrix inequalities (LMIs), and the controller design method is also proposed. Finally, a numerical example is included to illustrate the effectiveness of our proposed results.

scholarly journals Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2441
Author(s):  
Chun-Tang Chao ◽  
Ding-Horng Chen ◽  
Juing-Shian Chiou
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Matrix Inequalities ◽  
Delay Dependent ◽  
Takagi Sugeno

New sufficient conditions for delay-independent and delay-dependent robust stability of uncertain fuzzy time-delay systems based on uncertain fuzzy Takagi-Sugeno (T-S) models are presented by using the properties of matrix and norm measurements. Further sufficient conditions are formulated, in terms of the linear matrix inequalities (LMIs) of robust stabilization, and are developed via the technique of parallel distributed compensation (PDC), and then the simplification of the conditions for the controller design of uncertain fuzzy time-delay systems. The proposed methods are simple and effective. Some examples below are presented to illustrate our results.

Finite-time bounded control design for one-sided Lipschitz differential inclusions

2020 ◽  
pp. 095965182095883
Author(s):  
Chenglai Zhou ◽  
Ping He ◽  
Heng Li ◽  
Zuxin Li ◽  
Zhouchao Wei ◽  
...  
Keyword(s):  
Linear Matrix Inequality ◽  
Finite Time ◽  
Differential Inclusions ◽  
Controller Design ◽  
Design Method ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Bounded Control ◽  
Initial State

This article considers finite-time bounded controller design for one-sided Lipschitz nonlinear differential inclusions. Sufficient conditions of finite-time bounded criterion are given employing convex hull Lyapunov function approach. An algorithm is designed to calculate the finite-time bounded controller. Moreover, a system initial state selection method is presented to find the domain of system initial state aid for transforming quasi-linear matrix inequality–based conditions to linear matrix inequality-based conditions. Finally, a numerical example and a comparison experiment example are given to illustrate the effectiveness of this proposed design method.

Neural Adaptive Sliding Mode Control for a Class of Nonlinear Neutral Delay Systems

2008 ◽  
Vol 130 (6) ◽  
Author(s):  
Yugang Niu ◽  
James Lam ◽  
Xingyu Wang ◽  
Daniel W. C. Ho
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Delay System ◽  
Delay Systems ◽  
Adaptive Sliding Mode Control ◽  
Linear Matrix ◽  
Sliding Surface ◽  
Neutral Delay ◽  
Neutral Delay Systems ◽  
Mode Control

This paper is concerned with the problem of sliding mode control (SMC) for a class of neutral delay systems with unknown nonlinear uncertainties that may not satisfy the norm-bounded condition. A SMC scheme based on neural-network approximation is proposed for the uncertain neutral delay system. By means of linear matrix inequality (LMI) approach, a sufficient condition is given such that the resultant closed-loop system is guaranteed to be stable, and the states asymptotically converge to zero. When the LMI is feasible, the designs of both the sliding surface and the sliding mode control law can be easily obtained via convex optimization. It is shown that the state trajectories are driven toward the specified sliding surface that depends on the current states as well as the delayed states. Finally, a simulation result is given to illustrate the effectiveness of the proposed method.

Gain-Scheduled H∞ Control for Linear Parameter Varying Stochastic Systems

2015 ◽  
Vol 137 (11) ◽  
Author(s):  
Cheung-Chieh Ku ◽  
Cheng-I Wu
Keyword(s):  
Stochastic Systems ◽  
Controller Design ◽  
Design Method ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Parameter Varying ◽  
Gain Scheduled Controller ◽  
Gain Scheduled

In this paper, a gain-scheduled controller design method is proposed for linear parameter varying (LPV) stochastic systems subject to H∞ performance constraint. Applying the stochastic differential equation, the stochastic behaviors of system are described via multiplicative noise terms. Employing the gain-scheduled design technique, the stabilization problem of LPV stochastic systems is discussed. Besides, the H∞ attenuation performance is employed to constrain the effect of external disturbance. Based on the Lyapunov function and Itô's formula, the sufficient conditions are derived to propose the stability criteria for LPV stochastic systems. The derived sufficient conditions are converted into linear matrix inequality (LMI) problems that can be solved by using convex optimization algorithm. Through solving these conditions, the gain-scheduled controller can be obtained to guarantee asymptotical stability and H∞ performance of LPV stochastic systems. Finally, numerical examples are provided to demonstrate the applications and effectiveness of the proposed controller design method.

scholarly journals Robust H∞-Control for Uncertain Stochastic Systems with Impulsive Effects

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1169
Author(s):  
Zhezhe Xin ◽  
Chunjie Xiao ◽  
Ting Hou ◽  
Xiao Shen
Keyword(s):  
Linear Matrix Inequalities ◽  
Uncertain Systems ◽  
Stochastic Systems ◽  
Controller Design ◽  
Design Method ◽  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Stochastic Effects

Robust stabilization and H ∞ controller design for uncertain systems with impulsive and stochastic effects have been deeply discussed. Some sufficient conditions for the considered system to be robustly stable are derived in terms of linear matrix inequalities (LMIs). In addition, an example with simulations is given to better demonstrate the usefulness of the proposed H ∞ controller design method.

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