This paper deals with the problem of how to render the jump linear quadratic (JLQ) control robust. Mainly, we present sufficient conditions for quadratic stabilization and guaranteed cost control of uncertain jump linear system using state feedback control. The proposed control law contains two comp
Jump Linear Quadratic control with Random state discontinuities
โ Scribed by M. Mariton
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 372 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
โฆ Synopsis
In a random environment, Jump Linear Quadratic control problems are studied. Random state discontinuities are included in the analysis and the corresponding optimal regulator is obtained. The introduction of stochastic notions of stabilizability and detectability gives a direct characterization of the asymptotic behaviour of the optimal system.
๐ SIMILAR VOLUMES
We derive closed-form solutions for the linear-quadratic (LQ) optimal control problem subject to integral quadratic constraints. The optimal control is a non-linear function of the current state and the initial state. Furthermore, the optimal control is easily calculated by solving an unconstrained
Brief Paper Controller Synthesis for Linear Systems with Retarded State and Control Variables and Quadratic Cost\*t Synth6se d'un r4gulateur pour des syst~mes lin6aires avec variables d'etat et de commande retard6es et coot quadratique Reglersynthese ftir lineare Systeme mit retardiertem Zustand und
The notion of stochastic controllability for linear systems subject to Markovian jumps in parameter values is studied. An algebraic necessary and sufficient condition is obtained in terms of an easily computable rank test.