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Our paper presents an explicit infinite-dimensional Luenberger type observer for a class of vibrating systems. Further numerical investigation is undertaken for the observer based on a rotating Euler elastic beam system, including the eigenvalue distribution of the error system and the robustness of the observer. By using the finite element method numerical simulations are carried out to illustrate...
In this paper, a robust stabilization of the uncertain singularly perturbed system via a networked state feedback with the transmission time-delay is addressed. Taking its nominal system as a model plant, propagation unit and overall states chosen to overcome the difficulty of communication delay, the characterization of singular perturbation for the overall hybrid system is still preserved on each...
This paper treats the robust D-stability control against a parameter dependent uncertainty. It is well known that such robust control problems are difficult to be solved, because they become non-convex problems described by parameter dependent bilinear matrix inequalities (PDBMI's). In this paper, we propose an exterior-point approach to the PDBMI problems such that a non-stabilizing controller can...
In this paper, we consider the problem of designing agents' dynamics such that the multi-agent system can reach consensus in a distributed fashion. Our design approach is independent of the network topology and the agents can be used in mobile networks or fixed networks with different topologies. We review our previous result valid for fixed network topologies and extend it to the case when the interconnection...
A framework is developed which enables a general class of linear iterative learning control (ILC) algorithms to be applied to tracking tasks which require the plant output to reach given points at predetermined time instants, without the need for intervening reference points to be stipulated. It is shown that superior convergence and robustness properties are obtained compared with those associated...
In this paper we present an application of a recently developed strategy for robust distributed controller design for formations and show a way of including performance requirements in the design. The proposed synthesis method guarantees stability for all possible formations and arbitrary fast changes in the communication topology. The number of agents in the formation can also be chosen arbitrarily...
The symmetric control systems have some interesting properties. This paper studies a class of symmetric system consists of a collocated second-order plant and a static output feedback controller. For the system, it is known that the internal stability and the robustness of the closed-loop system are guaranteed based only on the non-parametric structure condition. Our objective is to propose an optimal...
This paper considers robust pole assignment problem for discrete-time linear periodic systems via linear periodic output feedback. To character a measure for the sensitivity of the eigenvalues of the closed-loop system with respect to perturbations in the coefficient matrices, a robustness index for periodic systems is proposed, which can be regarded as a generalization of robustness index of normal...
This paper addresses the problem of normalized anisotropic optimal controller order reduction by means of anisotropic balanced truncation. This controller is the solution to the problem of normalized anisotropy-based stochastic Hinfin optimization. An example of application to flight control in a windshear is given.
This paper presents a general impulsively-coupled complex dynamical network (ICCDN) model with parametric uncertainty and time-varying delays. Robust synchronization of the ICCDN with uncertainty and delays is investigated. Based on the Lyapunov stability theory, delay-independent synchronization conditions for the ICCDN with uncertainty and delays are obtained. A systematic-design procedure is presented,...
The problem of robust feedback control of spatially distributed processes described by highly dissipative partial differential equations (PDEs) is considered. Typically, this problem is addressed through model reduction where finite dimensional approximations to the original PDE system are derived. A common approach to this task is the Karhunen-Loeve expansion combined with the method of snapshots...
How to control an unstable linear system with a long pure delay in the actuator path? This question was resolved using dasiapredictorpsila or dasiafinite spectrum assignmentpsila designs in the 1970s. Here we address a more challenging question: How to control an unstable linear system with a wave PDE in the actuation path? Physically one can think of this problem as having to stabilize a system to...
A scalable robust stability criterion for networked interconnected systems with heterogeneous linear time-invariant components is presented in this paper. The criterion involves only the properties of individual components and the spectrum of the interconnection matrix, which can be verified with relatively low computational effort, and more importantly maintains scalability of the analysis. Moreover,...
This paper generalizes the notion of real perturbation values of a complex matrix to account for a more general perturbation structure. Formulas for computing the so-called generalized real perturbation values of a matrix are derived and presented. Using these results, we revisit the computation of the structured real controllability radius that was previously used to evaluate the robustness of the...
A framework is developed which allows a general class of ILC algorithm to be applied to tasks which require the plant output to reach a given point in a set time. It is shown that superior convergence and robustness properties are obtained compared with those associated with using the original ILC law to track an arbitrary reference trajectory satisfying the end-point conditions. Experimental results...
Aiming at the influence of parameter uncertainty on the control system, two design methods of robust controller are presented to design output feedback controllers, regarding the ball grinding mill system to be the research object. One is the reversed-frame normalizing (RFN) method, which is based on the matrix singular value decomposition. Through setting the desirability objective function, the...
The physical parameters of controlled systems are uncertain and are accompanied by nonlinearity. The transfer function and the characteristic polynomial should, therefore, be expressed by interval (polytopic) polynomials, regardless of whether the input-output signals are continuous or discrete in time. This paper evaluates the robust stability of discrete-time control systems based on the existing...
Local L2 gain method has been pursued to analyze the robustness of a family of stabilizing controllers near the rotating stall point in axial flow compressors. An matrix inequality is involved in computation of L2 gain which is usually very difficult to solve without resorting to numerical method. In order to reduce the computational cost, an algorithm is proposed in this paper to greatly simplify...
This paper presents a gradient flow approach for computing the robust controller for linear systems using state-derivative feedback such that the sensitivity of the closed-loop system eigenvalues to perturbations in the system and gain matrix is minimized. The approach can be applied for any controllable system with some restrictions when assigning zero poles. The nonsingular and singular open-loop...
In this paper a new approach to the design of H∞ optimal discrete-time servo compensators is presented. The design procedure for single-input single-output plants uses a frequency domain description and is based on the solution of a coupled system of diophantine and spectral factorization equations. An important feature of this approach is, that it leads to reduced-order controllers and therefore...
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