Minimization of a non-quadratic cost functional for third-order saturating control systems

DOI10.1080/00207178108922528zbMath0476.93032OpenAlexW2161819597MaRDI QIDQ3932665

C. M. Dorling, E. P. Ryan

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00207178108922528

zbMATH Keywords

singular solutionsthird-order systemsnon-quadratic-cost regular problemoptimal state portraitreduced state spacescalar saturable control

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Decomposition methods (49M27) Stability of control systems (93D99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

Constant-ratio trajectories in optimal control systems ⋮ Feedback solution of a class of optimal bilinear control problems ⋮ Synthesis in problems of optimal control containing trajectories with participating switchings and singular trajectories of the second order ⋮ Fuller's phenomenon: review ⋮ Optimization of stochastic relay control systems by means of dimensional analysis

Cites Work

• Chattering arcs and chattering controls
• Singular optimal controls for second-order saturating systems
• Definitions of Order and Junction Conditions in Singular Optimal Control Problems
• A Generalized Legendre-Clebsch Condition for the Singular Cases of Optimal Control
• Optimal control of saturating linear plants for quadratic performance indices
• Necessary Conditions Joining Optimal Singular and Nonsingular Subarcs
• Optimal and linear sub-optimal control of second-order saturating control systems†

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