Stabilization of input delayed systems via memoryless state feedback

2004 ◽  
Author(s):  
Shin Kanno ◽  
Can Chen
Keyword(s):  
State Feedback ◽  
Delayed Systems

Fuzzy observer–based disturbance rejection control for nonlinear fractional-order systems with time-varying delay

2021 ◽  
pp. 107754632110069
Author(s):  
Parvin Mahmoudabadi ◽  
Mahsan Tavakoli-Kakhki
Keyword(s):  
Fractional Order ◽  
Disturbance Rejection ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Linear Matrix ◽  
Delayed Systems ◽  
Fuzzy Observer ◽  
Time Varying Delay ◽  
Takagi Sugeno

In this article, a Takagi–Sugeno fuzzy model is applied to deal with the problem of observer-based control design for nonlinear time-delayed systems with fractional-order [Formula: see text]. By applying the Lyapunov–Krasovskii method, a fuzzy observer–based controller is established to stabilize the time-delayed fractional-order Takagi–Sugeno fuzzy model. Also, the problem of disturbance rejection for the addressed systems is studied via the state-feedback method in the form of a parallel distributed compensation approach. Furthermore, sufficient conditions for the existence of state-feedback gains and observer gains are achieved in the terms of linear matrix inequalities. Finally, two numerical examples are simulated for the validation of the presented methods.

scholarly journals Stabilization of Discrete-Time Delayed Systems via Partially Delay-Dependent Controllers

2015 ◽  
Vol 2015 ◽  
pp. 1-14
Author(s):  
Guoliang Wang ◽  
Boyu Li
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Transition Probabilities ◽  
Stabilization Problem ◽  
Delayed Systems ◽  
Stabilizing Controller ◽  
Discrete Time Markov Chain ◽  
Distribution Property ◽  
Special Cases ◽  
Delay Dependent

This paper is concerned with the stabilization problem for a class of discrete-time delayed systems, whose stabilizing controller is firstly designed to be partially delay-dependent. The distribution property of such a controller is firstly described by a discrete-time Markov chain with two modes. It is seen that two traditionally special cases of state feedback controller without or with time delay, respectively, are included. Based on the proposed controller, new stabilization conditions depending on some probabilities are developed. Because of the established results with LMI forms, they are further extended to more general cases that the transition probabilities are uncertain and totally unknown, while more applications are also given in detail. Finally, numerical examples are used to demonstrate the effectiveness and superiority of the proposed methods.

scholarly journals Optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems described by the Roesser model via memory state feedback

2018 ◽  
Vol 41 (1) ◽  
pp. 285-294
Author(s):  
Akshata Tandon ◽  
Amit Dhawan ◽  
Manish Tiwari
Keyword(s):  
Cost Function ◽  
Upper Bound ◽  
State Feedback ◽  
Closed Loop ◽  
Roesser Model ◽  
Memory State ◽  
Delayed Systems ◽  
Discrete State ◽  
Guaranteed Cost ◽  
Memory State Feedback

This paper is concerned with the problem of optimal guaranteed cost control via memory state feedback for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the Roesser model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based sufficient condition for the existence of memory state feedback guaranteed cost controllers is established and a parameterized representation of such controllers (if they exist) is given in terms of feasible solutions to a certain LMI. Furthermore, a convex optimization problem with LMI constraints is formulated to select the optimal guaranteed cost controllers that minimize the upper bound of the closed-loop cost function. The proposed method yields better results in terms of least upper bound of the closed-loop cost function as compared with a previously reported result.

Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems

2019 ◽  
Vol 362 ◽  
pp. 124571 ◽  
Author(s):  
Mingcheng Dai ◽  
Zhengguo Huang ◽  
Jianwei Xia ◽  
Bo Meng ◽  
Jian Wang ◽  
...  
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Markov Jump ◽  
Delayed Systems

Robust model predictive control synthesis for state-delayed systems with randomly occurring input saturation nonlinearities

2016 ◽  
Vol 40 (1) ◽  
pp. 179-190 ◽  
Author(s):  
Langwen Zhang ◽  
Wei Xie ◽  
Zhaozhun Zhong ◽  
Jingcheng Wang
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
State Feedback ◽  
Controller Design ◽  
Input Saturation ◽  
Time Instant ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Model Parameters ◽  
Delayed Systems

In this paper, a model predictive control algorithm is presented for linear parameter varying systems with both state delays and randomly occurring input saturation. The input saturation is assumed to be occurred randomly with Bernoulli-distributed white sequences. A constant sate feedback law is designed at each time instant to ensure the robust stability of the closed-loop system with respect to polytopic uncertainties. The optimization of model predictive controller is cast into solving a linear matrix inequalities optimization problem. Then, the results are extended to gain-scheduled approach in which a set of state feedback laws are designed for each vertex of the system model. The state feedback law is scheduled by the time varying model parameters to achieve less conservatism in controller design. Finally, two examples are employed to show the effectiveness of the proposed algorithms.

scholarly journals Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

2018 ◽  
Vol 28 (1) ◽  
pp. 111-122 ◽  
Author(s):  
Nabil El Fezazi ◽  
Fatima El Haoussi ◽  
El Houssaine Tissir ◽  
Teresa Alvarez ◽  
Fernando Tadeo
Keyword(s):  
State Feedback ◽  
Initial Conditions ◽  
Robust Stabilization ◽  
Large Set ◽  
Sampled Data ◽  
Neutral Systems ◽  
State Delay ◽  
Delayed Systems ◽  
Stabilizing Controllers ◽  
Weighting Matrix

AbstractStabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.

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