This paper investigates the stabilisation problem and consider transient optimisation for a class of the multi-input-multi-output(MIMO)semi-linear stochastic systems.A control algorithm is presented via an m-block bac...This paper investigates the stabilisation problem and consider transient optimisation for a class of the multi-input-multi-output(MIMO)semi-linear stochastic systems.A control algorithm is presented via an m-block backstepping controller design where the closed-loop system has been stabilized in a probabilistic sense and the transient performance is optimisable by optimised by searching the design parameters under the given criterion.In particular,the transient randomness and the probabilistic decoupling will be investigated as case studies.Note that the presented control algorithm can be potentially extended as a framework based on the various performance criteria.To evaluate the effectiveness of this proposed control framework,a numerical example is given with simulation results.In summary,the key contributions of this paper are stated as follows:1)one block backstepping-based output feedback control design is developed to stabilize the dynamic MIMO semi-linear stochastic systems using a linear estimator;2)the randomness and probabilistic couplings of the system outputs have been minimized based on the optimisation of the design parameters of the controller;3)a control framework with transient performance enhancement of multi-variable semi-linear stochastic systems has been discussed.展开更多
When a feedback system has components described by non-rational transfer functions, a standard practice in designing such a system is to replace the non-rational functions with rational approximants and then carry out...When a feedback system has components described by non-rational transfer functions, a standard practice in designing such a system is to replace the non-rational functions with rational approximants and then carry out the design with the approximants by means of a method that copes with rational systems. In order to ensure that the design carried out with the approximants still provides satisfactory results for the original system, a criterion of approximation should be explicitly taken into account in the design formulation. This paper derives such a criterion for multi-input multi-output(MIMO) feedback systems whose design objective is to ensure that the absolute values of every error and every controller output components always stay within prescribed bounds whenever the inputs satisfy certain bounding conditions. The obtained criterion generalizes a known result which was derived for single-input single-output(SISO) systems; furthermore, for a given rational approximant matrix, it is expressed as a set of inequalities that can be solved in practice. Finally, a controller for a binary distillation column is designed by using the criterion in conjunction with the method of inequalities. The numerical results clearly demonstrate that the usefulness of the criterion in obtaining a design solution for the original system.展开更多
基金supported by Higher Education Innovation Fund (No. HEIF 20182020), De Montfort University, Leicester, UK
文摘This paper investigates the stabilisation problem and consider transient optimisation for a class of the multi-input-multi-output(MIMO)semi-linear stochastic systems.A control algorithm is presented via an m-block backstepping controller design where the closed-loop system has been stabilized in a probabilistic sense and the transient performance is optimisable by optimised by searching the design parameters under the given criterion.In particular,the transient randomness and the probabilistic decoupling will be investigated as case studies.Note that the presented control algorithm can be potentially extended as a framework based on the various performance criteria.To evaluate the effectiveness of this proposed control framework,a numerical example is given with simulation results.In summary,the key contributions of this paper are stated as follows:1)one block backstepping-based output feedback control design is developed to stabilize the dynamic MIMO semi-linear stochastic systems using a linear estimator;2)the randomness and probabilistic couplings of the system outputs have been minimized based on the optimisation of the design parameters of the controller;3)a control framework with transient performance enhancement of multi-variable semi-linear stochastic systems has been discussed.
基金financial support from the honour program of the Department of Electrical Engineering,Faculty of Engineering,Chulalongkorn University
文摘When a feedback system has components described by non-rational transfer functions, a standard practice in designing such a system is to replace the non-rational functions with rational approximants and then carry out the design with the approximants by means of a method that copes with rational systems. In order to ensure that the design carried out with the approximants still provides satisfactory results for the original system, a criterion of approximation should be explicitly taken into account in the design formulation. This paper derives such a criterion for multi-input multi-output(MIMO) feedback systems whose design objective is to ensure that the absolute values of every error and every controller output components always stay within prescribed bounds whenever the inputs satisfy certain bounding conditions. The obtained criterion generalizes a known result which was derived for single-input single-output(SISO) systems; furthermore, for a given rational approximant matrix, it is expressed as a set of inequalities that can be solved in practice. Finally, a controller for a binary distillation column is designed by using the criterion in conjunction with the method of inequalities. The numerical results clearly demonstrate that the usefulness of the criterion in obtaining a design solution for the original system.