Problem Of Dynamic Output Feedback Research Articles

Dynamic output feedback control for nonlinear large-scale interconnected systems

Purpose This paper aims to focus on the design of a decentralized observation and control method for a class of large-scale systems characterized by nonlinear interconnected functions that are assumed to be uncertain but quadratically bounded. Design/methodology/approach Sufficient conditions, under which the designed control scheme can achieve the asymptotic stabilization of the augmented system, are developed within the Lyapunov theory in the framework of linear matrix inequalities (LMIs). Findings The derived LMIs are formulated under the form of an optimization problem whose resolution allows the concurrent computation of the decentralized control and observation gains and the maximization of the nonlinearity coverage tolerated by the system without becoming unstable. The reliable performances of the designed control scheme, compared to a distinguished decentralized guaranteed cost control strategy issued from the literature, are demonstrated by numerical simulations on an extensive application of a three-generator infinite bus power system. Originality/value The developed optimization problem subject to LMI constraints is efficiently solved by a one-step procedure to analyze the asymptotic stability and to synthesize all the control and observation parameters. Therefore, such a procedure enables to cope with the conservatism and suboptimal solutions procreated by optimization problems based on iterative algorithms with multi-step procedures usually used in the problem of dynamic output feedback decentralized control of nonlinear interconnected systems.

Dissipative Controller Design for Networked Control Systems via the Markovian Jump System Approach

This paper describes a dissipative controller desig n for networked control systems modeled by the Markovian jump system. Dissipativity refers to the existence of a supply rate dealing with the sys tem such that the closed-loop system has a dissipative property. The main result of this paper is a solvability condition in terms of linear matrix inequalities fo r achieving dissipativity of a dynamic output feedback problem in networked control systems via the Markovian jump system approach. A numerical example is given to show the efficacy of the proposed design.

Output Feedback Control of Discrete Impulsive Switched Systems with State Delays and Missing Measurements

This paper is concerned with the problem of dynamic output feedback (DOF) control for a class of uncertain discrete impulsive switched systems with state delays and missing measurements. The missing measurements are modeled as a binary switch sequence specified by a conditional probability distribution. The problem addressed is to design an output feedback controller such that for all admissible uncertainties, the closed-loop system is exponentially stable in mean square sense. By using the average dwell time approach and the piecewise Lyapunov function technique, some sufficient conditions for the existence of a desired DOF controller are derived, then an explicit expression of the desired controller is given. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Switching Fuzzy Dynamic Output Feedback $H_{\infty}$ Control for Nonlinear Systems

This paper studies the problem of dynamic output feedback H (infinity) control for nonlinear systems, which are described by Takagi-Sugeno fuzzy parts with measurable premise variables and uncertainty parts. The uncertainties are parameter dependent, unknown, and time varying but bounded. A switching fuzzy dynamic output feedback control scheme is proposed, which depends on the measurable premise variables and the bounds of the unknown parameters of the considered system, where the switching mechanism is introduced to handle the unknown parameters. A two-step linear-matrix-inequality-based optimization procedure is developed to design switching fuzzy H (infinity) controllers. An example is given to illustrate the effectiveness of the proposed design method.

Dynamic output feedback [formula omitted] control synthesis for discrete-time T–S fuzzy systems via switching fuzzy controllers

This paper studies the problem of dynamic output feedback H ∞ control of discrete-time Takagi–Sugeno (T–S) fuzzy systems via a switched dynamic parallel distributed compensation (DPDC) scheme. The considered switched DPDC control structure is determined based on the values of membership functions. Some new properties of membership functions are obtained, and exploited to derive sufficient conditions for designing switching DPDC controllers that guarantee the stability and H ∞ performances of closed-loop nonlinear systems. The design conditions are given in terms of solvability of a set of linear matrix inequalities (LMIs). It is shown that the new approach provides results at least as good as the corresponding DPDC methods. A numerical example is given to illustrate the effectiveness of the proposed approach.

Linear controllers for exponential tracking of systems in chained-form

In this paper we address the tracking problem for a class of non-holonomic chained-form control systems. We present a simple solution for both the state feedback and the dynamic output feedback problem. The proposed controllers are linear and render the tracking error dynamics globally 𝒦-exponentially stable. We also deal with both control problems under input saturation. Application of the results to the control of wheeled mobile robots is illustrated by means of simulations of a car pulling a single trailer. Copyright © 2000 John Wiley & Sons, Ltd.

Controller design with regional pole constraints

A design procedure is developed that combines linear-quadratic optimal control with regional pole placement. Specifically, a static and dynamic output-feedback control problem is addressed in which the poles of the closed-loop system are constrained to lie in specified regions of the complex plane. These regional pole constraints are embedded within the optimization process by replacing the covariance Lyapunov equation by a modified Lyapunov equation whose solution, in certain cases, leads to an upper bound on the quadratic cost functional. The results include necessary and sufficient conditions for characterizing static output-feedback controllers with bounded performance and regional pole constraints. Sufficient conditions are also presented for the fixed-order (i.e. full- and reduced-order) dynamic output-feedback problem with regional pole constraints. Circular, elliptical, vertical strip, parabolic, and section regions are considered. >