A convex hybrid H∞ synthesis with guaranteed convergence rate
نویسندگان
چکیده
In this paper, a hybrid controller design for a continuous-time linear time-invariant (LTI) plant is presented. The idea is to simultaneously design the flow and jump maps with the respective sets of the controller, guaranteeing H∞ specifications and decay rate of the plant state of the hybrid closed-loop system. A convex LMI-based design procedure is proposed, generalizing the results in [22].
منابع مشابه
Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces
In this paper, we prove some theorems related to properties of generalized symmetric hybrid mappings in Banach spaces. Using Banach limits, we prove a fixed point theorem for symmetric generalized hybrid mappings in Banach spaces. Moreover, we prove some weak convergence theorems for such mappings by using Ishikawa iteration method in a uniformly convex Banach space.
متن کاملA HYBRID ALGORITHM FOR SIZING AND LAYOUT OPTIMIZATION OF TRUSS STRUCTURES COMBINING DISCRETE PSO AND CONVEX APPROXIMATION
An efficient method for size and layout optimization of the truss structures is presented in this paper. In order to this, an efficient method by combining an improved discrete particle swarm optimization (IDPSO) and method of moving asymptotes (MMA) is proposed. In the hybrid of IDPSO and MMA, the nodal coordinates defining the layout of the structure are optimized with MMA, and afterwards the...
متن کاملOn the strong convergence theorems by the hybrid method for a family of mappings in uniformly convex Banach spaces
Some algorithms for nding common xed point of a family of mappings isconstructed. Indeed, let C be a nonempty closed convex subset of a uniformlyconvex Banach space X whose norm is Gateaux dierentiable and let {Tn} bea family of self-mappings on C such that the set of all common fixed pointsof {Tn} is nonempty. We construct a sequence {xn} generated by the hybridmethod and also we give the cond...
متن کاملFuzzy convergence structures in the framework of L-convex spaces
In this paper, fuzzy convergence theory in the framework of $L$-convex spaces is introduced. Firstly, the concept of $L$-convex remote-neighborhood spaces is introduced and it is shown that the resulting category is isomorphic to that of $L$-convex spaces. Secondly, by means of $L$-convex ideals, the notion of $L$-convergence spaces is introduced and it is proved that the category of $L$-con...
متن کاملOn new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.
متن کامل