Static output-feedback stabilization with optimal L1-gain for positive linear systems

J Shen, J Lam - Automatica, 2016 - Elsevier
This paper is concerned with the static output-feedback stabilization with optimal L 1-gain for
positive linear systems. We aim to construct a static output-feedback controller such that the …

Interval peak-to-peak observers for continuous-and discrete-time systems with persistent inputs and delays

C Briat, M Khammash - Automatica, 2016 - Elsevier
While the design of optimal peak-to-peak controllers/observers for linear systems is known
to be a difficult problem, this problem becomes interestingly much easier in the context of …

Stability and performance analysis of linear positive systems with delays using input–output methods

C Briat - International Journal of Control, 2018 - Taylor & Francis
It is known that input–output approaches based on scaled small-gain theorems with constant
D-scalings and integral linear constraints are non-conservative for the analysis of some …

Data-driven control of positive linear systems using linear programming

J Miller, T Dai, M Sznaier… - 2023 62nd IEEE …, 2023 - ieeexplore.ieee.org
This paper presents a linear-programming based algorithm to perform data-driven
stabilizing control of linear positive systems. A set of state-input-transition observations is …

Proportional‐derivative controller design of continuous‐time positive linear systems

JJR Liu, N Yang, KW Kwok… - International Journal of …, 2022 - Wiley Online Library
This article focuses on the design of proportional‐derivative (PD) controllers for positive
linear systems in the continuous‐time domain, which is a well‐known open problem in …

Hybrid L∞× ℓ∞-performance analysis and control of linear time-varying impulsive and switched positive systems

C Briat - Nonlinear Analysis: Hybrid Systems, 2021 - Elsevier
Recent works have shown that the L 1 and L∞-gains are natural performance criteria for
linear positive systems as they can be exactly characterized by linear programs. Those …

Performance optimization over positive l∞ cones

M Naghnaeian, PG Voulgaris - Automatica, 2017 - Elsevier
In this paper we study linear systems with positivity type of constraints. First, we consider the
case where the input to a system is restricted to be in the positive cone of l∞, denoted by …

Stability and Stabilization Analysis of Interval Positive Takagi-Sugeno Fuzzy Systems by using Convex Optimization

E Ahmadi, J Zarei - arXiv preprint arXiv:1912.06778, 2019 - arxiv.org
In this paper, the stability and stabilization problem of positive nonlinear systems, described
by the Takagi-Sugeno discrete-time fuzzy model, is studied. The proposed approach is …

Stabilization, Estimation and Control of Linear Dynamical Systems with Positivity and Symmetry Constraints

A Oghbaee - 2018 - search.proquest.com
Positive systems are rapidly gaining more attention and popularity due to their appearance
in numerous applications. The response of these systems to positive initial conditions and …

On l∞ performance optimization: linear switched systems and systems with cone constraints

M Naghnaeian - 2016 - ideals.illinois.edu
The l∞ performance of Linear Time-Invariant (LTI) systems has been one of the corner
stones of the robust control theory for over the past 30 years. The l∞ performance has been …