Journal ArticleDOI
A universal formula for stabilization with bounded controls
Yuandan Lin,Eduardo D. Sontag +1 more
TLDR
In this paper, the authors provide a formula for stabilizing feedback law using a bounded control, under the assumption that an appropriate control-Lyapunov function is known such a feedback, smooth away from the origin and continuous everywhere, is known via Artstein's Theorem.About:
This article is published in Systems & Control Letters.The article was published on 1991-07-01. It has received 431 citations till now. The article focuses on the topics: Artstein's theorem & Bounded function.read more
Citations
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Journal ArticleDOI
A tutorial review of economic model predictive control methods
TL;DR: An overview of the recent results on economic model predictive control (EMPC) is presented and discussed addressing both closed-loop stability and performance for nonlinear systems as discussed by the authors, where a chemical process example is used to provide a demonstration of a few of the various approaches.
Journal ArticleDOI
Predictive control of switched nonlinear systems with scheduled mode transitions
TL;DR: The main idea is to design a Lyapunov-based predictive controller for each constituent mode in which the switched system operates and incorporate constraints in the predictive controller design which upon satisfaction ensure that the prescribed transitions between the modes occur in a way that guarantees stability of the switched closed-loop system.
Journal ArticleDOI
Economic model predictive control of nonlinear process systems using Lyapunov techniques
TL;DR: In this article, a model predictive control (MPC) is proposed to optimize closed-loop performance with respect to general economic considerations for a broad class of nonlinear process systems.
Journal ArticleDOI
Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control☆
TL;DR: This work considers the problem of stabilization of nonlinear systems subject to state and control constraints and proposes a Lyapunov-based predictive control design that guarantees stabilization and state and input constraint satisfaction from an explicitly characterized set of initial conditions.
Journal ArticleDOI
Output feedback control of switched nonlinear systems using multiple Lyapunov functions
TL;DR: The switching logic tracks the evolution of the state estimates generated by the observers and orchestrates switching between the stability regions of the constituent modes in a way that guarantees asymptotic stability of the overall switched closed-loop system.
References
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Journal ArticleDOI
Smooth stabilization implies coprime factorization
TL;DR: In this paper, it was shown that coprime right factorizations exist for the input-to-state mapping of a continuous-time nonlinear system provided that the smooth feedback stabilization problem is solvable for this system.
Journal ArticleDOI
A universal construction of Artstein's theorem on nonlinear stabilization
TL;DR: In this article, the existence of a smooth control-Lyapunov function implies smooth stabilizability, and the result is extended to real-analytic and rational cases as well.
Journal ArticleDOI
Stabilization with relaxed controls
TL;DR: In this paper, the authors examined the possibility of stabilizing one-dimensional systems with a continuous closed loop relaxed control and showed that the family of systems stabilizable with relaxed control is larger than the family stabilisable with ordinary controls, even if each state can be driven asymptotically to the origin.
Journal ArticleDOI
Sufficient lyapunov-like conditions for stabilization
TL;DR: This paper provides sufficient Lyapunov-like conditions for the possibility of stabilizing a control system at an equilibrium point of its state space and assumes the stabilizing feedback laws are assumed to be smooth except possibly at the equilibrium Point of the system.
Book ChapterDOI
Feedback stabilization of nonlinear systems
TL;DR: This paper surveys some well-known facts as well as some recent developments on the topic of stabilization of nonlinear systems.