Finding common quadratic Lyapunov functions for switched linear systems using particle swarm optimisation

DOI10.1080/00207179.2011.637133zbMath1282.93216OpenAlexW2115548727MaRDI QIDQ5745550

Rodrigo H. Ordóñez-Hurtado, Manuel A. Duarte-Mermoud

Publication date: 30 January 2014

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

Full work available at URL: http://hdl.handle.net/10533/133022

zbMATH Keywords

switched linear systemscommon quadratic Lyapunov functionparticle swarm optimisationcomputation of CQLF

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (11)

Conical tank level control using fractional order PID controllers: a simulated and experimental study ⋮ A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation ⋮ Particle swarm optimisers for the designing of parametric adjustment laws in discrete-time adaptive systems ⋮ Output regulation for switched singular systems based on a reduced‐order error feedback controller ⋮ On a conjecture about the norm of Lyapunov mappings ⋮ Global stabilization design for switched power integrator triangular systems with different powers ⋮ Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers ⋮ Global finite-time stabilisation of a class of switched nonlinear systems ⋮ Fractional order controllers for throughput and product quality control in a grinding mill circuit ⋮ On interconnected systems, passivity and some generalisations ⋮ A novel methodology to solve the CQLF problem for a finite set of stable second-order systems

Cites Work

• Exponential stability of simultaneously triangularizable switched systems with explicit calculation of a common Lyapunov function
• Stochastic convergence analysis and parameter selection of the standard particle swarm optimization algorithm
• A common Lyapunov function for stable LTI systems with commuting A-matrices
• Linear Matrix Inequalities in System and Control Theory
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• On common quadratic lyapunov functions for pairs of stable lti systems whose system matrices are in companion form
• Common Lyapunov Functions and Gradient Algorithms
• Stability Criteria for Switched and Hybrid Systems
• Computational Science – ICCS 2005

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