Generalized Homogeneous Quasi-Continuous Controllers
نویسندگان
چکیده
A new class of arbitrary-order homogeneous quasi-continuous sliding-mode controllers is proposed, containing numerous functional parameters. All controllers also have robust outputfeedback versions. A numerical procedure is for the first time established for setting the controller parameters. A finite-time stable 5-sliding mode is for the first time demonstrated.
منابع مشابه
Simple homogeneous sliding-mode controller
High-order sliding mode (HOSM) control is known to provide for finite-time-exact output regulation of uncertain systems with known relative degrees. Yet the corresponding universal HOSM controllers are typically constructed by special recursive procedures and have complicated form. We propose two new families of homogeneous HOSM controllers of a very simple form. Lyapunov functions are provided...
متن کاملs-Topological vector spaces
In this paper, we have dened and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is...
متن کاملNon-homogeneous continuous and discrete gradient systems: the quasi-convex case
In this paper, first we study the weak and strong convergence of solutions to the following first order nonhomogeneous gradient system $$begin{cases}-x'(t)=nablaphi(x(t))+f(t), text{a.e. on} (0,infty)\x(0)=x_0in Hend{cases}$$ to a critical point of $phi$, where $phi$ is a $C^1$ quasi-convex function on a real Hilbert space $H$ with ${rm Argmin}phineqvarnothing$ and $fin L^1(0...
متن کاملA ug 2 00 6 Associated and quasi associated homogeneous distributions ( generalized functions )
In this paper analysis of the concept of associated homogeneous distributions (generalized functions) is given, and some problems related to these distributions are solved. It is proved that (in the one-dimensional case) there exist only associated homogeneous distributions of order k = 1. Next, we introduce a definition of quasi associated homogeneous distributions and provide a mathematical d...
متن کاملA Unified Framework for Hybrid Control: Model and Optimal Control Theory
Complex natural and engineered systems typically possess a hierarchical structure, characterized by continuousvariable dynamics at the lowest level and logical decision-making at the highest. Virtually all control systems today—from flight control to the factory floor—perform computer-coded checks and issue logical as well as continuous-variable control commands. The interaction of these differ...
متن کامل