Quantization is indeed a natural way to take into consideration in the control design of the complexityconstraints for the controller as well as the communication constraints in the information exchange between thecontroller and the plant. This paper is devoted to investigating quantized state-feedback control problems for aclass of continuous-time uncertain singular Markovian jump linear systems (CUSMJLSs) with generally uncertaintransition rates (GUTRs) and input quantization. In this case, each transition rate can be completely unknown oronly its estimate value is known. First, input quantization is introduced, then by introducing new matrix inequalityconditions, sufficient conditions are formulated for quantized state-feedback control of CSMJLUSs with GUTRsand input quantization. Finally, a numerical example is presented to illustrate the effectiveness and efficiency of theproposed results.
Quantization is indeed a natural way to take into consideration in the control design of the complexityconstraints for the controller as well as the communication constraints in the information exchange between thecontroller and the plant. This paper is devoted to investigating quantized state-feedback control problems for aclass of continuous-time uncertain singular Markovian jump linear systems (CUSMJLSs) with generally uncertaintransition rates (GUTRs) and input quantization. In this case, each transition rate can be completely unknown oronly its estimate value is known. First, input quantization is introduced, then by introducing new matrix inequalityconditions, sufficient conditions are formulated for quantized state-feedback control of CSMJLUSs with GUTRsand input quantization. Finally, a numerical example is presented to illustrate the effectiveness and efficiency of theproposed results.