Showing papers by "Jamal Daafouz published in 2011"
01 Aug 2011
TL;DR: In this article, a switching rule and a full order dynamic output feedback switched controller are jointly designed to render the associated closed-loop switched linear system globally asymptotically stable and impose a pre-specified upper bound to the L"2 gain.
Abstract: This paper is devoted to dynamic output feedback H"~ control design of switched linear systems in both continuous and discrete-time domains. More specifically, the main purpose is to jointly design a switching rule and a full order dynamic output feedback switched controller that render the associated closed-loop switched linear system globally asymptotically stable and impose a pre-specified upper bound to the L"2 gain. An example of practical importance is presented to illustrate the validity and efficiency of the theory.
176 citations
TL;DR: The sampled-data stabilization of linear time-invariant systems with feedback delay is considered and numerical methods for the design of a delay-dependent controller are presented for providing a control for some cases in which the stabilization cannot be ensured using a controller with a fixed structure.
50 citations
TL;DR: The main goal is to determine, simultaneously, a set of state-feedback gains and a switching rule to orchestrate them, rendering the closed-loop system globally asymptotically stable for all time-varying uncertain parameter under consideration and assuring a guaranteed ℋ2 cost.
Abstract: This article deals with switched state-feedback ℋ2 control design of continuous time-varying polytopic systems. More specifically, the main goal is to determine, simultaneously, a set of state-feedback gains and a switching rule to orchestrate them, rendering the closed-loop system globally asymptotically stable for all time-varying uncertain parameter under consideration and assuring a guaranteed ℋ2 cost. A contribution of the present switched control technique compared to the gain scheduling, widely used in the literature, is that the online measurement of the uncertain parameter is not required and no assumption on its time derivative is imposed. The conditions are based on modified Lyapunov–Metzler inequalities and can be solved by line search coupled with LMIs. An academic example illustrates the theoretical results and compares the present technique with other techniques from literature.
27 citations
TL;DR: Behind the stability of discrete-time switched systems, the results are focused on its performance analysis and its guaranteed cost certification, and on the design of a stabilising controller, which belongs to the class of dynamic output feedback controller minimising a guaranteed cost.
Abstract: This article deals with discrete-time switched systems, which are associated with a performance index depending on the switched rule. Behind the stability of such systems, our results are focused, on one hand, on its performance analysis and its guaranteed cost certification, and on the other hand, on the design of a stabilising controller, which belongs to the class of dynamic output feedback controller minimising a guaranteed cost. An example illustrates the main results and gives some perspectives.
12 citations
TL;DR: In this article, the authors introduce the concept of consistency for continuous-time switched linear systems having the switching function as a primary control signal to be designed, and prove that a min-type switching strategy is strictly consistent for the classes of H2 and H∞ performance indexes.
11 citations
TL;DR: In this paper, the authors considered the class of linear impulsive systems with a continuous linear dynamics for all time, except at a sequence of instants, where the state undergoes a jump, or more precisely follows a discrete linear dynamics.
7 citations