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This paper investigates robust static output feedback (SOF) control problem for the linear systems with parameter uncertainties. Based on the structure of the uncertainties, the systems are separated into linear time invariant (LTI) systems and linear parameter varying (LPV) systems. Then, a class of uncertain systems with norm-bounded perturbations is discussed for both LTI systems and LPV systems...
The state observer and H∞ control via output feedback for time-delay neutral systems are studied in this paper. A sufficient condition is given for the existence of the H∞ state observer of the system first. And then a new criterion of the stability for the closed loop system via output feedback is presented by two linear matrix inequalities. Finally a numerical example is given to demonstrate the...
Serving as a great supplement for stochastic stability and stabilization, new notions called essential instability and essential destabilization are introduced. In this way, according to the spectral distribution of an uncontrolled linear time-invariant stochastic system in the complex plane, we distinguish three kinds of stabilities: asymptotical mean square stability, critical stability and essential...
Many problems in system and control areas are in the form of Linear matrix inequalities (LMIs). Methods such as interior point methods have been applied to solve these problems. However, for problems with large numbers of LMIs, these algorithms involving high dimensional matrixes can be inefficient. In this paper, the subgradient-simplex based cutting plane method is used to solve the LMI feasibility...
An observer-based robust H∞ control for a class of linear uncertain neutral-type systems is presented in this paper. Based on Lyapunov-Krasovskii theory, a delay-dependent condition for the existence of a linear full-order robust H∞ controller is constructed. By the singular value decomposition (SVD) approach, the result can be expressed in terms of a set of strict linear matrix inequalities (LMIs)...
A feedback LPV control approach is proposed for a class of nonlinear matrix second order systems. With some assumptions satisfied, the nonlinear system can be converted into a Polytopic LPV system by the application of a nonlinear state feedback. Then the control law can be designed through LPV control techniques. The method is validated on a hub-beam system, which is first converted to the Polytopic...
This paper is concerned with the problems of quantized H2 filtering for discrete-time Markovian jump linear systems over networks with non-accessible mode information. The quantizer considered here is logarithmic quantizer. In this paper, a linear time-invariant mode-independent quantized H2 filter is designed such that filter error system is stochastically stable. Sufficient conditions for the existence...
This paper proposes a new non-fragile H∞ filter approach for solving fault detection (FD) problem in linear systems. Firstly, multiplicative gain variations of the filter are considered, and the output of the filter is selected as the residual signal. Next, a sufficient condition for the existence of the non-fragile FD filter is given in the form of linear matrix inequalities (LMIs). Finally, an UAV...
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