LMI Based Digital State Feedback Controller for a Wound Rotor Induction Drive with Guaranteed Closed Loop Stability

2006 ◽  
Author(s):  
D. Sivanandakumar ◽  
K. Ramakrishnan
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Feedback Controller ◽  
State Feedback Controller ◽  
Loop Stability

Controller Design for See-Saw Systems

2014 ◽  
Vol 898 ◽  
pp. 680-683
Author(s):  
Hai Yan Wang
Keyword(s):  
Control Theory ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
The State ◽  
Feedback Controller ◽  
System Model ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
State Feedback Controller

The control theory has widely application in many fields such as industrial and agricultural. A class of see-saw system model will be studied in this paper. Using the theory of pole assignment, we will design the state feedback controller, such that the closed-loop system is asymptotically stable. At the same time, using the tool of MATLAB, the model of closed see-saw system will be simulated and analyzed. It reveals the state regularity of see-saw system.

Non-Fragile Passive Control for Nonlinear Singular Systems with Time-Delay and Uncertainties

2012 ◽  
Vol 546-547 ◽  
pp. 997-1002
Author(s):  
Hong Li ◽  
Shu Hui Shi ◽  
Ou Wu
Keyword(s):  
Time Delay ◽  
State Feedback ◽  
Closed Loop ◽  
Passive Control ◽  
Singular Systems ◽  
Feedback Controller ◽  
Numerical Example ◽  
State Feedback Controller ◽  
Nonlinear Singular Systems ◽  
Closed Loop Systems

This paper focuses on the problem of non-fragile robust passive control for a class of nonlinear singular systems which contain structure uncertainties and time delay. A memorial state feedback controller is considered, and the controller is constructed such that closed-loop systems are generalized quadratically stable and passive with dissipation. The algorithm is given for obtaining the maximum dissipation, at the same time, the maximum guaranteed dissipation controller is proposed. Numerical example is presented to show the validity and applicability of the proposed method.

scholarly journals l1-Induced State-Feedback Controller Design for Positive Fuzzy Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Xiaoming Chen ◽  
Mou Chen ◽  
Jun Shen
Keyword(s):  
Fuzzy Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Closed Loop System ◽  
State Feedback Controller ◽  
Takagi Sugeno ◽  
Theoretical Results

The problem ofl1-induced state-feedback controller design is investigated for positive Takagi-Sugeno (T-S) fuzzy systems with the use of linear Lyapunov function. First, a novel performance characterization is established to guarantee the asymptotic stability of the closed-loop system withl1-induced performance. Then, the sufficient conditions are presented to design the required fuzzy controllers and iterative convex optimization approaches are developed to solve the conditions. Finally, one example is presented to show the effectiveness of the derived theoretical results.

Classical state feedback controller for nonlinear systems using mean value theorem: closed loop-FOC of PMSM motor application

2015 ◽  
Vol 9 (4) ◽  
pp. 413-425 ◽  
Author(s):  
Abrar Allag ◽  
Abdelhamid Benakcha ◽  
Meriem Allag ◽  
Ismail Zein ◽  
Mohamed Yacine Ayad
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Mean Value ◽  
Feedback Controller ◽  
Mean Value Theorem ◽  
State Feedback Controller ◽  
Classical State

scholarly journals Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Firas Turki ◽  
Hassène Gritli ◽  
Safya Belghith
Keyword(s):  
State Feedback ◽  
Position Control ◽  
External Disturbance ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Stability Conditions ◽  
Mechanical Oscillator ◽  
Impact Oscillator ◽  
State Feedback Controller ◽  
The Impact

This paper proposes a state-feedback controller using the linear matrix inequality (LMI) approach for the robust position control of a 1-DoF, periodically forced, impact mechanical oscillator subject to asymmetric two-sided rigid end-stops. The periodic forcing input is considered as a persistent external disturbance. The motion of the impacting oscillator is modeled by an impulsive hybrid dynamics. Thus, the control problem of the impact oscillator is recast as a problem of the robust control of such disturbed impulsive hybrid system. To synthesize stability conditions, we introduce the S-procedure and the Finsler lemmas by only considering the region within which the state evolves. We show that the stability conditions are first expressed in terms of bilinear matrix inequalities (BMIs). Using some technical lemmas, we convert these BMIs into LMIs. Finally, some numerical results and simulations are given. We show the effectiveness of the designed state-feedback controller in the robust stabilization of the position of the impact mechanical oscillator under the disturbance.

Adaptive state-feedback stabilization of stochastic nonholonomic systems with an unknown time-varying delay and perturbations

2020 ◽  
pp. 014233122097417
Author(s):  
Qinghui Du
Keyword(s):  
State Feedback ◽  
Nonholonomic Systems ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Input State ◽  
Time Varying ◽  
Initial State ◽  
State Feedback Controller ◽  
Time Varying Delay ◽  
Varying Delay

The problem of adaptive state-feedback stabilization of stochastic nonholonomic systems with an unknown time-varying delay and perturbations is studied in this paper. Without imposing any assumptions on the time-varying delay, an adaptive state-feedback controller is skillfully designed by using the input-state scaling technique and an adaptive backstepping control approach. Then, by adopting the switching strategy to eliminate the phenomenon of uncontrollability, the proposed adaptive state-feedback controller can guarantee that the closed-loop system has an almost surely unique solution for any initial state, and the equilibrium of interest is globally asymptotically stable in probability. Finally, the simulation example shows the effectiveness of the proposed scheme.

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