Abstract
By using the Lyapunov second method, the robust control and robust optimal control for the gas tungsten arc welding dynamic process whose underlying continuous-time systems are subjected to structured uncertainties are discussed in time-domain. As results, some sufficient conditions of robust stability and the corresponding robust control laws are derived. All these results are designed by solving a class of linear matrix inequalities (LMIs) and a class of dynamic optimization problem with LMIs constraints respectively. An example adapted under some experimental conditions in the dynamic process of gas tungsten arc welding system in which the controlled variable is the backside width and controlling variable welding speed, is worked out to illustrate the proposed results. It is shown in the paper that the sampling period is the crucial design parameter
Highlights
In recent years, much research concerning robust control of linear state-space models has been done
A number of publications which consider the time-domain approach have appeared in the literature [1-8], In this approach, the Lyapunov stability theory [9-13] is used as a criterion for the analysis and synthesis of robust control systems
Robust control and robust optimal control problems for a class of sampled-data systems with structured uncertainty are considered using the second method of Lyapunov
Summary
Much research concerning robust control of linear state-space models has been done. Two major approaches to this problem have been developed: the frequency-domain approach and the timedomain approach. A number of publications which consider the time-domain approach have appeared in the literature [1-8], In this approach, the Lyapunov stability theory [9-13] is used as a criterion for the analysis and synthesis of robust control systems. Most of the control systems are sampled-data systems, which are the continuous objects under the control of computer. It is significant to study robust control of sampled-data systems [14-18]. Robust control and robust optimal control problems for a class of sampled-data systems with structured uncertainty are considered using the second method of Lyapunov. The corresponding robust control laws are given, which are derived by solving a class of LMIs and a class of dynamic program problem with LMIs constraints respectively
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