Control of nonlinear variable structure systems

DOI10.1016/0022-247X(86)90289-1zbMath0622.93026MaRDI QIDQ1091326

Tullio Zolezzi, Giorgio Bartolini

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Controllability conditionssliding manifoldnonlinear control problems with variable structure

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

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Dynamic output feedback for observed variable-structure control systems ⋮ Sliding order and sliding accuracy in sliding mode control ⋮ A tracking problem for uncertain vector systems ⋮ A pursuit-evasion game with hybrid pursuer dynamics ⋮ Asymptotic linearization of uncertain systems by variable structure control ⋮ Geometrical and topological methods in optimal control theory ⋮ COMPLETE SOLUTION OF A PURSUIT–EVASION DIFFERENTIAL GAME WITH HYBRID EVADER DYNAMICS ⋮ Robust pursuit of a hybrid evader ⋮ Capture zone of linear strategies in interception problems with variable structure dynamics ⋮ On the sliding mode control of multivariable nonlinear systems ⋮ Behavior of variable-structure control systems near the sliding manifold ⋮ Simplex sliding mode methods for the chattering reduction control of multi-input nonlinear uncertain systems ⋮ A variational approach to second-order approximability of sliding mode control systems ⋮ On the dynamical sliding mode control of nonlinear systems ⋮ A note on the approximability property of nonlinear variable structure systems ⋮ Well-posedness and sliding mode control ⋮ Real states of stable sliding mode control systems ⋮ Increasing pursuer capturability by using hybrid dynamics ⋮ Chattering phenomena in discontinuous control systems ⋮ A theoretical justification of the method of harmonic balance for systems with discontinuities

Cites Work

• Monotone trajectories of differential inclusions and functional differential inclusions with memory
• Foundations of a theory of discontinuous systems. II
• Discontinuous differential equations. II
• On global univalence theorems
• Tracking control of non-linear systems using sliding surfaces, with application to robot manipulators†
• Variable structure systems nonlinear in the control law
• Variable structure systems with sliding modes
• Differential equations with discontinuous right-hand side
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