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We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

Identifying and controlling an unstable, underactuated robot to enable reference tracking is a challenging control problem. In this paper, a ballbot (robot balancing on a ball) is used as an experimental setup to demonstrate and test…

Optimization and Control · Mathematics 2024-04-24 Tobias Fischer , Dimitrios S. Karachalios , Ievgen Zhavzharov , Hossam S. Abbas

In this paper, we study the reachability of two closely related matrices appearing in the analysis of linear time-varying (LTV) systems over a finite time interval, namely, its closed-loop state transition matrix via a state feedback…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Fengjiao Liu , Yixiao Zhang , Panagiotis Tsiotras

We propose a stability analysis method for sampled-data switched linear systems with finite-level static quantizers. In the closed-loop system, information on the active mode of the plant is transmitted to the controller only at each…

Systems and Control · Computer Science 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto

We propose an encoding and control strategy for the stabilization of switched systems with limited information, supposing the controller is given for each mode. Only the quantized output and the active mode of the plant at each sampling…

Systems and Control · Computer Science 2014-12-19 Masashi Wakaiki , Yutaka Yamamoto

This paper is concerned with the study of both, local and global, uniform asymptotic stability for switched nonlinear time-varying (NLTV) systems through the detectability of output-maps. With this aim the notion of reduced limiting control…

Optimization and Control · Mathematics 2018-09-21 J. L. Mancilla-Aguilar , R. A. Garcia

The paper deals with the stability analysis of time-delay reset control systems, for which the resetting law is assumed to satisfy a time-dependent condition. A stability analysis of the closed-loop system is performed based on an…

Systems and Control · Computer Science 2016-03-09 M. A. Davó , F. Gouaisbaut , A. Baños , S. Tarbouriech , A. Seuret

Classical discrete-time adaptive controllers provide asymptotic stabilization. While the original adaptive controllers did not handle noise or unmodelled dynamics well, redesigned versions were proven to have some tolerance; however,…

Optimization and Control · Mathematics 2017-11-28 Daniel E. Miller

System identification is a fundamental problem in reinforcement learning, control theory and signal processing, and the non-asymptotic analysis of the corresponding sample complexity is challenging and elusive, even for linear time-varying…

Machine Learning · Computer Science 2020-11-30 Sen Lin , Hang Wang , Junshan Zhang

This paper proposes a method to identify a Koopman model of a feedback-controlled system given a known controller. The Koopman operator allows a nonlinear system to be rewritten as an infinite-dimensional linear system by viewing it in…

Systems and Control · Electrical Eng. & Systems 2024-05-13 Steven Dahdah , James Richard Forbes

Stability margins for linear time-varying (LTV) and switched-linear systems are traditionally computed via quadratic Lyapunov functions, and these functions certify the stability of the system under study. In this work, we show how the more…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Corbin Klett , Matthew Abate , Samuel Coogan , Eric Feron

This paper proposes a multiple-model adaptive control methodology, using set-valued observers (MMAC-SVO) for the identification subsystem, that is able to provide robust stability and performance guarantees for the closed-loop, when the…

Optimization and Control · Mathematics 2016-11-17 Paulo Rosa , Carlos Silvestre , Jeff S. Shamma , Michael Athans

In this paper, for linear time-invariant plants, where a collection of possible inputs and outputs are known a priori, we address the problem of determining the communication between outputs and inputs, i.e., information patterns, such that…

Optimization and Control · Mathematics 2015-09-09 J. Frederico Carvalho , Sergio Pequito , A. Pedro Aguiar , Soummya Kar , George J. Pappas

This paper proposes a new methodology for subspace identification of linear time-periodic (LTP) systems with periodic inputs. This method overcomes the issues related to the computation of frequency response of LTP systems by utilizing the…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Mingzhou Yin , Andrea Iannelli , Roy S. Smith

This paper proposes a robust design of the time-varying internal model principle-based control (TV-IMPC) for tracking sophisticated references generated by linear time-varying (LTV) autonomous systems. The existing TV-IMPC design usually…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Yue Cao , Zhen Zhang

Phase-locked loops (PLLs) are now widely used in communication systems and have been a classic system for more than 60 years. Well-known mathematical models of such systems are constructed in a number of approximations, so questions about…

Systems and Control · Electrical Eng. & Systems 2021-02-22 Mikhail A. Mishchenko , Denis I. Bolshakov , Alexander S. Vasin , Valery V. Matrosov , Ilya V. Sysoev

We present the stability analysis for the new regulation-triggered approach to adaptive control introduced in a companion paper. Due to the fact that the closed-loop system is hybrid, our proofs have essential differences from the…

Optimization and Control · Mathematics 2016-09-13 Iasson Karafyllis , Miroslav Krstic

In this paper, we study the problem of control of discrete-time linear time varying systems over uncertain channels. The uncertainty in the channels is modeled as a stochastic random variable. We use exponential mean square stability of the…

Optimization and Control · Mathematics 2014-09-01 Amit Diwadkar , Umesh Vaidya

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

Dynamical Systems · Mathematics 2025-05-01 Bin Zhou , Kai Zhang

In this paper, we study the problem of continuous-time state observation over lossy communication networks. We consider the situation in which the samplers for measuring the output of the plant are spatially distributed and their…

Systems and Control · Computer Science 2018-10-02 Toshihide Tadenuma , Masaki Ogura , Kenji Sugimoto