Gain Scheduled Hoo-Control of Discrete-Time Polytopic Time-Varying Systems
نویسندگان
چکیده
This paper presents synthesis procedures for the design of both robust and gain scheduled H∞ static output feedback controllers for discrete-time linear systems with timevarying parameters. The parameters are assumed to vary inside a polytope and have known bounds on their rate of variation. The geometric properties of the polytopic domain are exploited to derive a finite set of linear matrix inequalities that consider the bounds on the rate of variation of the parameters. A numerical example illustrates the proposed approach.
منابع مشابه
Robust gain-scheduled control of linear parameter-varying systems with uncertain scheduling parameters in the presence of the time-invariant uncertainties
In this paper, a new approach is presented to design a gain-scheduled state-feedback controller for uncertain linear parameter-varying systems. It is supposed that the state-space matrices of them are the linear combination of the uncertain scheduling parameters. It is assumed that the existed uncertainties are of type of time-invariant parametric uncertainties with specified intervals. Simulta...
متن کاملRobust Fuzzy Gain-Scheduled Control of the 3-Phase IPMSM
This article presents a fuzzy robust Mixed - Sensitivity Gain - Scheduled H controller based on the Loop -Shaping methodology for a class of MIMO uncertain nonlinear Time - Varying systems. In order to design this controller, the nonlinear parameter - dependent plant is first modeled as a set of linear subsystems by Takagi and Sugeno’s (T - S) fuzzy approach. Both Loop - Shaping methodology and...
متن کاملGain-Scheduled H∞-Control of Discrete-Time Polytopic Time-Varying Systems
This paper presents synthesis procedures for the design of both robust and gain-scheduled H∞ static output feedback controllers for discrete-time linear systems with timevarying parameters. The parameters are assumed to vary inside a polytope and have known bounds on their rate of variation. The geometric properties of the polytopic domain are exploited to derive a finite set of linear matrix i...
متن کاملGain-scheduled H2 and H1 control of discrete-time polytopic time-varying systems
This study presents H2 and H1 performance analysis and synthesis procedures for the design of both gain-scheduled and robust static output feedback controllers for discrete-time linear systems with time-varying parameters. The obtained controllers guarantee an upper bound on the H2 or H1 performance of the closed-loop system. As an immediate extension, the mixed H2/H1 guaranteed cost control pr...
متن کاملGain-Scheduled H∞-Control for Discrete-Time Polytopic LPV Systems Using Homogeneous Polynomially Parameter-Dependent Lyapunov Functions
This paper presents H∞ performance analysis and control synthesis for discrete-time linear systems with time-varying parameters. The parameters are assumed to vary inside a polytope and have known bounds on their rate of variation. The geometric properties of the polytopic domain are exploited to derive parameter-dependent linear matrix inequality conditions that consider the bounds on the rate...
متن کامل