Abstract--This paper proposes an optlmlzatmn-based approach to the robust 7-to~ control problem of uncertain contmuous or dmcrete-tlme linear tzme-mvariant systems with different tzme-varying delays m the state vector and control input of the dynamic equation and controlled output Sufficient delay-dependent conditions are derived for the control stabflmatmn problem, where both the sine of the t...

In this paper, the delay-dependent robust control problem is considered for time-delay systems with polytopic uncertainty. Robust stabilizing controller and robust H∞ controller are designed by using a parameter-dependent Lyapunov function that can reduce the conservativeness when used in robust performance analysis and synthesis problems for polytopic systems. Furthermore, multichannel H∞ dyna...

Many robust control problems can be formulated in abstract form as convex feasibility programs, where one seeks a solution x that satisfies a set of inequalities of the form F . = {f (x, ) 0, ∈ D}. This set typically contains an infinite and uncountable number of inequalities, and it has been proved that the related robust feasibility problem is numerically hard to solve in general. In this pap...

The Clopper-Pearson confidence interval has ever been documented as an exact approach in some statistics literature. More recently, such approach of interval estimation has been introduced to probabilistic control theory and has been referred as non-conservative in control community. In this note, we clarify the fact that the so-called exact approach is actually conservative. In particular, we ...

This paper proposes a new power management control method for microgrids based on H∞ control theory. Microgrid systems consist of distributed power sources such as cogeneration systems and photovoltaic systems with batteries. In general, power generation by photovoltaic systems and power consumption of various loads cause large fluctuations depending on weather conditions and varied lifestyles....

In this paper, the control of sound propagation in an air-handling duct is investigated. Employing identified discrete t ime models of the duct, robust linear controllers are designed using the combined pole placement/sensitivity function shaping method. T h e particularities of harmonic noise sources are taken into account, avoiding the classical stochastic adaptive and the reference noise bas...

This paper deals with design of a failure tolerant control system where failures are identified using the normalized coprime factorization method. The identification method employed is a closed-loop one, which is also based on coprime factorization; therefore, the method is suitable to the robust control systems. The impact of failure on the closed-loop stability is evaluated by ν-gap metric ob...

This paper reviews the recent developments in the field of sensorless control of Brushless Direct Current motors. Moreover a survey of application of H∞ control theory for robust control, considering the uncertainties like modeling errors and external disturbances in various motors and systems has been carried out. This provides a deeper insight into the recent developments and future scope in ...