Consistent Approximations for the Optimal Control of Constrained Switched Systems---Part 2: An Implementable Algorithm

DOI10.1137/120901507zbMath1290.49059OpenAlexW2090365650MaRDI QIDQ5408801

Ramanarayan Vasudevan, Humberto Gonzalez, Ruzena Bajcsy, Shankar S. Sastry

Publication date: 11 April 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120901507

zbMATH Keywords

optimal control convergence necessary optimality condition discrete parameters switched system consistent approximations implementable algorithm Armijo-search discretized relaxed problem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15) Impulsive optimal control problems (49N25) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (13)

A penalty function-based random search algorithm for optimal control of switched systems with stochastic constraints and its application in automobile test-driving with gear shifts ⋮ An efficient MPC algorithm for switched systems with minimum dwell time constraints ⋮ Optimal switching control for drug therapy process in cancer chemotherapy ⋮ Optimal control of nonlinear switched system with mixed constraints and its parallel optimization algorithm ⋮ A first-order numerical approach to switched-mode systems optimization ⋮ On weak topology for optimal control of switched nonlinear systems ⋮ A sweeping gradient method for ordinary differential equations with events ⋮ Modal occupation measures and LMI relaxations for nonlinear switched systems control ⋮ Sensitivity analysis for the optimization of switched dynamical processes with state-dependent switching conditions and its application ⋮ A penalty function-based greedy diffusion search algorithm for the optimization of constrained nonlinear dynamical processes with discrete-valued input ⋮ Optimal control of constrained switched systems and application to electrical vehicle energy management ⋮ Lipschitz continuity of the value function in mixed-integer optimal control problems ⋮ Hybrid Model Predictive Power Management of a Battery-Supercapacitor Electric Vehicle

This page was built for publication: Consistent Approximations for the Optimal Control of Constrained Switched Systems---Part 2: An Implementable Algorithm