“…The UV-MRAC (Unit Vector MRAC) stems from the VS-MRAC (Variable Structure MRAC) structure developed for SISO plants in [6] and generalized to the MIMO case in [8]. Compared to the results of [8], the main new features are: (a) global exponential stability properties can be demonstrated and; (b) less restrictive assumption on the plant high frequency gain is required.…”
Section: Design and Analysis Of The Uv-mracmentioning
confidence: 99%
“…In this case a standard approach is to specify the desired closed loop response using a reference model. In this framework, variable structure control approach has been applied in [6] for single-input-single-output (SISO) plants and in [7], [8], [9], [10] for multi-input-multi-output (MIMO) plants.…”
Abstract-This paper considers the robust output tracking problem using a model-reference sliding mode controller for linear multivariable systems of relative degree one. It is shown that the closed loop system is globally exponentially stable and the performance is insensitive to bounded input disturbances and parameter uncertainties. The strategy is based on output-feedback unit vector control to generate sliding mode. The only required a priori information about the plant high frequency gain matrix Kp is the knowledge of a matrix Sp such that −KpSp is Hurwitz which relaxes the positive definiteness requirement usually needed by other methods.
“…The UV-MRAC (Unit Vector MRAC) stems from the VS-MRAC (Variable Structure MRAC) structure developed for SISO plants in [6] and generalized to the MIMO case in [8]. Compared to the results of [8], the main new features are: (a) global exponential stability properties can be demonstrated and; (b) less restrictive assumption on the plant high frequency gain is required.…”
Section: Design and Analysis Of The Uv-mracmentioning
confidence: 99%
“…In this case a standard approach is to specify the desired closed loop response using a reference model. In this framework, variable structure control approach has been applied in [6] for single-input-single-output (SISO) plants and in [7], [8], [9], [10] for multi-input-multi-output (MIMO) plants.…”
Abstract-This paper considers the robust output tracking problem using a model-reference sliding mode controller for linear multivariable systems of relative degree one. It is shown that the closed loop system is globally exponentially stable and the performance is insensitive to bounded input disturbances and parameter uncertainties. The strategy is based on output-feedback unit vector control to generate sliding mode. The only required a priori information about the plant high frequency gain matrix Kp is the knowledge of a matrix Sp such that −KpSp is Hurwitz which relaxes the positive definiteness requirement usually needed by other methods.
“…Moreover, if we follow a similar procedure described in (Hsu & Costa, 1989), we can prove that 0 0 e = reaches the sliding surface in a finite time f…”
Section: Hybrid Schemes For Adaptive Control Strategies 145mentioning
confidence: 99%
“…The VS-MRAC was originally proposed in (Hsu et al, 1989) and extensively discussed in (Hsu et al, 1994). The main features of this control scheme are the robustness of parameters uncertainties and unmodeled disturbances, as well as good transitory response.…”
Section: Variable Structure Model Reference Adaptive Controller (Vs-mmentioning
“…In this case, static output feedback is possible [46]. In [18], an early version of the UV-MRAC controller, named VS-MRAC (Variable Structure Model Reference Adaptive Control) was first proposed as a solution for global output tracking of uncertain linear SISO plants with relative degree one by output-feedback. The generalization of the VS-MRAC to uncertain linear plants of arbitrary relative degree appeared in [17,21] (see also references therein) and an application to the control of a flexible spacecraft can be founded in [47].…”
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