Abstract:
This paper studies the linear quadratic regulation problem for linear discrete time-varying systems with one or multiple delays in control input. This type of input-delay...Show MoreMetadata
Abstract:
This paper studies the linear quadratic regulation problem for linear discrete time-varying systems with one or multiple delays in control input. This type of input-delay system can be used to model delayed actuation, where the system depends on the input after various (could be more than one) time delays. We provide explicit forms of the finite horizon closed-loop optimal control laws. Numerical examples are also provided to show the performance of our derived control laws.
Published in: Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
Date of Conference: 15-18 December 2009
Date Added to IEEE Xplore: 29 January 2010
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- IEEE Keywords
- Index Terms
- Linear System ,
- Discrete System ,
- Time-varying Systems ,
- Linear Quadratic Regulator ,
- Input Delay ,
- Linear Time-varying Systems ,
- Linear Discrete Systems ,
- Discrete Time-varying Systems ,
- Optimal Control ,
- Numerical Examples ,
- Control Input ,
- Linear Problem ,
- Closed-loop Control ,
- Form Of Law ,
- Quadratic Problem ,
- Multiple Delays ,
- Finite Control ,
- Optimal Control Law ,
- Performance Indicators ,
- Cost Function ,
- Single Delay ,
- Bellman Equation ,
- Linear Quadratic Gaussian ,
- Time-delay Systems ,
- State-space Model ,
- Quadratic Control ,
- Horizon Length ,
- Optimal Index ,
- Linear Control
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Linear System ,
- Discrete System ,
- Time-varying Systems ,
- Linear Quadratic Regulator ,
- Input Delay ,
- Linear Time-varying Systems ,
- Linear Discrete Systems ,
- Discrete Time-varying Systems ,
- Optimal Control ,
- Numerical Examples ,
- Control Input ,
- Linear Problem ,
- Closed-loop Control ,
- Form Of Law ,
- Quadratic Problem ,
- Multiple Delays ,
- Finite Control ,
- Optimal Control Law ,
- Performance Indicators ,
- Cost Function ,
- Single Delay ,
- Bellman Equation ,
- Linear Quadratic Gaussian ,
- Time-delay Systems ,
- State-space Model ,
- Quadratic Control ,
- Horizon Length ,
- Optimal Index ,
- Linear Control