Parameter Dependent H∞ Controller Design by Finite Dimensional Lmi Optimization: Application to Trade-off Dependent Control
نویسندگان
چکیده
The design of a parameter dependent H∞ controller for a parameter dependent plant is considered. A solution can be proposed as a parameter dependent LMI optimization problem, that is, an infinite dimensional problem. In the case of rational dependence, an approach is proposed involving an optimization problem over parameter independent LMI constraints (which is finite dimensional). The obtained conditions are less conservative than previous ones. An application to the trade-off dependent controller design with the control of a DC motor is developed to emphasize the interest of our approach.
منابع مشابه
Parameterized H∞ Controller Design for Adaptative Trade-off by Finite Dimensional Lmi Optimization
We consider the design of a control law K(s, θ) such that a set of trade-offs parameterized by a scalar θ are satisfied for a given LTI system. The trade-off is formulated as an optimization problem involving a weighted H∞ norm. Matrices of the state space representation of K(s, θ) have to be obtained as explicit functions of θ. This problem, close to the LPV control design, can be naturally fo...
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 کاملA parameter-dependent Lyapunov function based approach to Hinfinity -control of LPV discrete-time systems with delays
Abstract— In this paper we study the problem of H∞ control of linear parameter-varying (LPV) discrete-time systems with delays. In an LPV system, the state-space matrices are a function of time-varying parameters which are assumed to be real-time measurable. We utilize a parameter-dependent Lyapunov function to establish a delay-dependent H∞ performance condition for the LPV system with unknown...
متن کاملDelay-dependent stability for transparent bilateral teleoperation system: an LMI approach
There are two significant goals in teleoperation systems: Stability and performance. This paper introduces an LMI-based robust control method for bilateral transparent teleoperation systems in presence of model mismatch. The uncertainties in time delay in communication channel, task environment and model parameters of master-slave systems is called model mismatch. The time delay in communicatio...
متن کاملRobust Model Predictive Controller Design: Finite and Infinite Horizon
Abstract: This paper addresses to the problem of designing, modeling and practical realization of robust model predictive control for finite and infinite prediction horizon which ensures a parameter dependent quadratic stability and guaranteed cost for linear polytopic uncertain systems. The model predictive controller design procedure based on BMI and LMI is reduced to off-line output feedback...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005