Improved Controller Design for Uncertain Positive Systems and its Extension to Uncertain Positive Switched Systems
Sign Up to like & getrecommendations! Published in 2018 at "Asian Journal of Control"
DOI: 10.1002/asjc.1553
Abstract: This paper is concerned with the controller design of uncertain positive systems. First, we decompose the feedback gain matrix Km×n into m×n non-negative components and m×n non-positive components. For the non-negative components, each component contains… read more here.
Keywords: controller design; positive systems; design uncertain; positive switched ... See more keywords
The Hankel-Type L/L Induced Norms of Positive Systems Across Switching
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.595
Abstract: Abstract The Hankel-type Lq/Lp induced norms across a single switching over two linear time-invariant (LTI) positive systems are discussed. The norms are defined as the induced norms from vector-valued Lp-past inputs to vector valued Lq-future… read more here.
Keywords: induced norms; hankel type; type induced; positive systems ... See more keywords
Analysis of Positive Systems Using Copositive Programming
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2019.2946620
Abstract: In the field of control, a wide range of analysis and synthesis problems of linear time-invariant (LTI) systems are reduced to semidefinite programming problems (SDPs). On the other hand, in the field of mathematical programming,… read more here.
Keywords: programming; copositive programming; analysis positive; four cones ... See more keywords
Event-Triggered Control for Discrete-Time Systems Using a Positive Systems Approach
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2021.3134866
Abstract: We provide an output feedback event-triggered controller for discrete-time linear systems. We make novel use of positive systems, interval observers, an event-triggered state estimator, and triggering times that are computed from estimator values. This provides… read more here.
Keywords: time; event triggered; discrete time; event ... See more keywords
Analysis of Positive Systems With Input Saturation: Invariant Hyperpyramids and Hyperrectangles
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3088810
Abstract: This article addresses the problem of estimating the domain of attraction of positive systems under a saturated linear feedback. Compared with the analysis of general saturated linear systems, one remarkable difference is that only the… read more here.
Keywords: systems input; saturation invariant; input saturation; hyperpyramids hyperrectangles ... See more keywords
Linear Quadratic Control of Positive Systems: A Projection-Based Approach
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2022.3172237
Abstract: This technical article investigates the linear quadratic regulator (LQR) design for continuous-time positive linear systems. Based on positive systems theory and Lyapunov theory, the solvability and optimality of the positivity-preserving LQR problem are analyzed through… read more here.
Keywords: projection; control positive; quadratic control; linear quadratic ... See more keywords
$\mu $ -Stability of Nonlinear Positive Systems With Unbounded Time-Varying Delays
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Neural Networks and Learning Systems"
DOI: 10.1109/tnnls.2016.2533392
Abstract: The stability of the zero solution plays an important role in the investigation of positive systems. In this brief, we discuss the $\mu $ -stability of positive nonlinear systems with unbounded time-varying delays. The system… read more here.
Keywords: time; positive systems; systems unbounded; tex math ... See more keywords
Asynchronous Control of Switched Discrete-Time Positive Systems With Delay
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2022.3150091
Abstract: This article considers the stabilization issue of switched discrete-time positive systems (SDPSs) with delay by using asynchronous control. Combining transition probability (TP) with mode-dependent average dwell time (MDADT), called TP-based MDADT switching, the SDPSs are… read more here.
Keywords: time; discrete time; control; time positive ... See more keywords