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The problem of reliable control for T-S fuzzy descriptor systems with time-delay is investigated. A more practical model of actuator failures than outage is considered. Based on linear matrix inequality approach, a method of designing a less conservative reliable controller is proposed. The resultant control system is regular, impulse-free and stable for all admissible uncertainties when all control...
This paper is concerned with robust dissipation problem for a class of uncertain neutral systems with multiple state delays. A static state feedback controller is designed to ensure the closed-loop system to be asymptotically stable and strictly (Q,S,R)-dissipative. Sufficient conditions are derived in the form of linear matrix inequality. The findings show that the solvability of the design problem...
This paper presents the method of discrete-time sliding mode control (DT-SMC) for a class of nonlinear time-delay systems via Takagi-Sugeno (T-S) fuzzy model. First, the discrete-time linear model with uncertainties and tine-varying delay is derived by employing T-S model to represent original system. Then the control problem becomes the robust stabilization controller design for linear uncertain...
To simplify the design and realization of controller, the method of robust H∞ static output feedback is discussed in this paper. A sufficient condition that satisfies given performance index is presented for constrained system, and an H∞ static output feedback control design method is proposed. By converting the constrained conditions and the elliptical set that contains output trajectory into a set...
The control accuracy of flexible satellite attitude would be impacted by the large scale changes of the dynamic parameters caused by the temperature and structural deformation, when flight in orbit. Considering the case of the existence of quality parameters uncertainty, flexible modal frequency uncertainty and external disturbance, the paper studies the flexible satellite attitude dynamics and the...
This paper is to concern the resilient guaranteed cost controller of autonomous underwater vehicles (AUVs) in vertical surface movement system. In this paper the system is a class of nonlinear singular time-delay systems with uncertainties. The uncertainties are not only in the systematic matrix but also in the controller gain. Based on linear matrix inequalities (LMIs), a resilient guaranteed cost...
This paper is concerned with non-fragile H∞ filtering for linear systems in network environments. The filtering error system is modeled as a linear system with an interval time-varying delay. Then a delay-decomposition approach is employed to derive a sufficient condition such that the filtering error system is asymptotically stable with a prescribed H∞ disturbance attenuation level, where the non-fragility...
In order to analyze the performance of control system affected by scheduling in networked control system (NCS), the guaranteed cost control (GCC) is researched integrating network scheduling. A scheduling model of NCS is established with communication constraint on input and feedback channels. Utilizing communication sequence to express the instance of scheduling, the model can be transform into uncertain...
In this paper, we propose a design method for the uncertain rotor-sliding-bearing system. Firstly, the nonlinear terms in the nonlinear model of rotor-sliding -bearing system are regarded as energy bounded disturbance. Then, based on H∞ control theory, a novel parameter design method in term of LMI (Linear Matrix Inequality) is given for the rotor-sliding-bearing system. Finally, the simulation results...
The state feedback robust H-infinity control problem is investigated for discrete-time state delay switched linear descriptor systems with exponential uncertainties in this note. Aiming at the effect of exponential uncertainties, we first treats the uncertain exponential terms as polynomial uncertainty with an additive norm bounded uncertainty based on Taylor series approximation and convex polytope...
This paper designs the H∞ state feedback controller of the low-orbit satellite to achieve the high precision attitude control. Based on the analysis of the system uncertainty and environment disturbance of the low-orbit satellite, H∞ method is adopted and the LMI arithmetic is used to make the computation easier. The results of the system simulation prove that the algorithm is useful and can make...
A sliding mode observer (SMO) analysis and synthesis framework for systems with mismatched parametric uncertainties is proposed. Stability of the uncertain state estimation error system is addressed using the concept of uniform ultimate bounded stability, also known as practical stability. The design methodology involves linear matrix inequality methods and employs a polytopic description for designing...
In order to conquer uncertainty and disturbance, a reduced robust control strategy based on linear matrix inequality (LMI) was proposed for a proton exchange membrane fuel cell (PEMFC) system. And then the structure singular value (SSV) μ analysis method was utilized to testify the robust stability of proposed controller. The simulation results demonstrated that the control method could maintain the...
Due to exponential uncertainty induced by uncertain network delays, the digital representation for continuous time invariant system becomes time varying, which adds difficulty to the analysis and synthesis of system. In order to overcome this difficulty, the exponential uncertainty is described as a polytopic model with bounded additive terms while quantization error is described as external disturbance...
For an air-breathing hypersonic vehicle model subject to input constraints, this paper is concerned with the application of linear control theory to design its flight control system. In the framework of integral quadratic constraints (IQCs), the standard linear parameter-varying (LPV) control method is generalized to deal with the parametric, dynamic uncertainties and saturation nonlinearities associated...
An LMI-based method is presented in this paper to design a robust modified repetitive-control system for a class of strictly proper plants. Applying the periodicity and continuity of repetitive control, the system design is converted into the robust stabilization problem of a continuous-discrete 2D system. A LMI-based robust stability sufficient condition is derived by using linear matrix inequality...
This paper proposes a gyro and star sensor fault diagnosis architecture that designs two groups of cascade H∞ optimal fault observers using LMI for spacecraft attitude control systems and schemes a Compensation PD controller to achieve fault tolerant control. The basic idea of the approach is to identify the gyro fault to good effect first and then makes a further diagnosis for the star sensor based...
This paper deals with the chaos phenomenon of doubly fed induction generator(DFIG). The Takagi-Sugeno (T-S) fuzzy model of DFIG chaos system is built. Based on the fuzzy Lyapunov function approach, a robust optimal controller is designed in the form of linear matrix inequality (LMI). Thus the chaos of DFIG with parametric uncertainties is eliminated. The simulation result shows that the fuzzy optimal...
This paper is concerned with the synthesis of robust guaranteed-cost controllers for networked systems operating under uncertain, bounded, time-varying transmission delays. The uncertainty of the transmission delay results in an uncertain discrete-time networked controlled system (NCS). The main contribution is a synthesis procedure for a static control law which not only robustly stabilizes the system...
This paper is concerned with the design problem of non-fragile H-infinity controller for discrete-time descriptor systems. The controller gain variations are assumed to be time-invariant and norm-bounded appearing in the controller coefficients. Sufficient conditions for the existence of a static state feedback H-infinity controller with additive uncertainty and multiplicative uncertainty are obtained...
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