LMI‐based stability analysis of linear hybrid systems with application to switched control of a refrigeration process

DOI10.1002/asjc.239zbMath1282.93197OpenAlexW2073930826MaRDI QIDQ5745675

S. Mijanovic, Chaohong Cai

Publication date: 30 January 2014

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.239

zbMATH Keywords

exponential stabilityhybrid systemsdwell time(multiple) Lyapunov functionsstate reset

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (14)

Comparison of Linear Quadratic Controllers with Stability Analysis for <scp>DC</scp>‐<scp>DC</scp> Boost Converters Under Large Load Range ⋮ The Exponential Stability for a Class of Hybrid Systems ⋮ Graph-Based Dwell Time Computation Methods for Discrete-Time Switched Linear Systems ⋮ Switching controller synthesis for discrete-time switched linear systems with average dwell time ⋮ Hysteresis Switching Design for Stabilization of a Class of Switched Neutral Systems ⋮ Adaptive <scp>H</scp>_∞ Control of Piecewise‐Linear Systems with Parametric Uncertainties and External Disturbances ⋮ A Bounded Real Lemma for Discrete‐Time <scp>M</scp>arkovian Jump Singular Systems ⋮ Exponential Stability and Asynchronous Stabilization of Switched Systems With Stable and Unstable Subsystems ⋮ Relaxed Stability Conditions for Switched Systems with Dwell Time ⋮ Dwell-time approach to input-output stability properties for a class of discrete-time dynamical systems ⋮ Robust Exponential Stability Analysis of Uncertain Discrete Time‐Varying Linear Systems ⋮ On the Stabilization of Linear Time Invariant Fractional Order Commensurate Switched Systems ⋮ H_∽performance controller parameterisation of linear switching plants under uncontrolled switching ⋮ A Reset-Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems

Cites Work

• Unnamed Item
• Stability analysis of switched systems using variational principles: An introduction
• Stability of switched systems: a Lie-algebraic condition
• Stability and Stabilization of Continuous‐Time Switched Linear Systems
• Supervisory control of families of linear set-point controllers. 2. Robustness
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Basic problems in stability and design of switched systems
• Issues in the design of switched linear control systems: A benchmark study
• Hybrid system stability and robustness verification using linear matrix inequalities
• Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets
• Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
• Stability Criteria for Switched and Hybrid Systems

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