...-varying uncertainties. A necessary and sufficient condition for existence of the PID controller is obtained in terms of rank constrained linear matrix inequalities (LMIs). Using an existing penalty-function-based approximation for matrix rank minimization, an algorithm is proposed to solve these rank...

... of linear matrix inequalities. It is proved that the conditions under which a full-order observer exists also guarantee the existence of a reduced-order observer. Compared to some previous results in the literature, this work considers a larger class of nonlinearities and unifies some related observer...

... as an H ∞ problem using a linear fractional transformation (LFT) framework and the solution is based on the bounded real lemma (BRL). Necessary and sufficient conditions for the existence of the fault detection filter are presented in the form of linear matrix inequalities (LMIs) resulting in a convex...

... method and linear matrix inequalities is used during the modeling and control design process. It is common to include a margin of safety in amplifiers and other active magnetic bearing (AMB) components. The nonlinear modeling makes it possible to operate an existing industrial AMB system with larger...

.... Some test criteria are established for the PFTS of the unforced system. Then, a sufficient condition is proposed for the design of a state feedback controller such that the closed-loop system is positively finite-time stable. This condition is provided in terms of a series of linear matrix inequalities...

... probability matrix has identical rows. Another assumption is about the availability of the mode to the controller. We derive necessary and sufficient linear matrix inequalities (LMI) conditions to design optimal H 2 and H ∞ state-feedback controllers for the particular class...

... is employed to investigate and optimize the controller design. The controller gains can be obtained by solving a sequence of linear matrix inequalities (LMIs). An example on electromechanical system shows the efficacy of the proposed design method. Takagi–Sugeno (T–S) fuzzy systems H∞ control linear...

... and it can guarantee that the filtering error dynamic system is asymptotically stable and can satisfy the prescribed ℋ ∞ norm bound. Then, the design of the filter is proposed by solving a set of linear matrix inequalities (LMIs). Simulation studies and comparison examples are provided...

..., and L 2 disturbances. The norm bounded uncertainties are assumed to exist in variations of structural stiffness and damping coefficients. Based on the selection of Lyapunov–Krasovskii functional, first a bounded real lemma (BRL) is obtained in terms of linear matrix inequalities (LMIs...

.... Control , 47 ( 4 ), pp. 664 – 669 . 10.1109/9.995046 18 Xu , S. , and Lam , J. , 2008 , “ A Survey of Linear Matrix Inequality Techniques in Stability Analysis of Delay Systems ,” Int. J. Syst. Sci. , 39 ( 12 ), pp. 1095 – 1113 . 10.1080/00207720802300370 19 R. Lozano...

...Lan Zhou; Jinhua She; Min Wu; Jie Zhang This paper concerns a linear-matrix-inequality (LMI)-based method of designing a robust modified repetitive-control system (MRCS) for a class of strictly proper plants with periodic uncertainties. It exploits the nature of control and learning...

...Jia Xu; Jitao Sun; Dong Yue In this paper, we introduce a new concept of stochastic finite-time stability for a class of nonlinear Markovian switching systems with impulsive effects. Based on the linear matrix inequality approach, sufficient conditions for the system to be stochastic finite-time...

... analysis, a less conservative absolute stability criterion is derived in terms of linear matrix inequalities (LMIs). In addition to the LK functional, conservatism in the proposed stability analysis is further reduced by imposing tighter bounding on the time-derivative of the functional without neglecting...

... by a set of linear matrix inequalities. Illustrative examples are exploited to show the effectiveness of the proposed design procedures. 12 11 2009 14 03 2011 21 11 2011 21 11 2011 actuators delays fuzzy control fuzzy systems linear matrix inequalities Lyapunov methods...

... (linear matrix inequality) and BMI (bilinear matrix inequality) optimization methods. Consequently, lane overshoot is minimized for assistance activations near the border of the lane even during curve negotiation and robust lane keeping is ensured. Furthermore, the effects on lane keeping performance...

..., using parameter-dependent Lyapunov function, the decoupled peak-to-peak performance criterion is first established for a class of LPV systems. Under this condition, the admissible filter can be found in terms of linear matrix inequality (LMI) technology. According to approximate basis function...

... and stabilization, in which the delay is uniformly divided into multiple segments. Based on this LKF and using an improved Jensen's integral inequality, the improved delay-dependent stochastic stability criteria are first derived in terms of linear matrix inequalities (LMIs). Then, an LMI approach to the design...

... robust stabilization problem. The shaped plant is represented as a polytopic linear parameter varying (LPV) system while saturation nonlinearity is considered. For a polytopic model, the LTI H ∞ loop-shaping controllers have been designed at each vertex of the polytope using linear matrix inequalities...

... known transition probabilities. The main results are presented in the form of linear matrix inequalities. The designed finite-time stabilizing controller makes MJSs FTS against partially known transition rates. A simulation example is given to demonstrate the effectiveness and the potential...

... delay-dependent sufficient conditions are presented in terms of linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed algorithms. This paper was supported in part by the National Natural Science Foundation of China (Grant Nos. 60904022...