A Successive Approximation Algorithm to Optimal Feedback Control of Time-varying LPV State-delayed Systems
نویسنده
چکیده
In this paper problem of finite-time optimal state feedback control for a class of time-varying linear parameter-varying (LPV) systems with a known delay in the state vector under quadratic cost functional is investigated via a successive approximation algorithm. The method of successive approximation algorithm results an iterative scheme, which successively improves any initial control law ultimately converging to the optimal state feedback control. On the other hand, by manipulating linear matrix inequalities imposed by Generalized-Hamiltonian-Jacobi-Bellman method and the polynomially parameter-dependent quadratic (PPDQ) functions, sufficient conditions with high precision are given to guarantee asymptotic stability of the timevarying LPV state-delayed systems independent of the time delay.
منابع مشابه
Set-valued methods for linear parameter varying systems,
We consider stability analysis and state feedback synthesis for Linear Parameter Varying (LPV) systems. LPV systems are de"ned as linear systems whose dynamics depend on exogenous time-varying parameters. Stability analysis of LPV systems involves testing the stability of a family of possible parameter trajectories. Similarly, stabilization and optimal control of LPV systems involves constructi...
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تاریخ انتشار 2007