1 Networked Control Schemes on The Basis of Information Theory 1
1.1 Stabilization of Stochastic Linear Systems With Data-Rate Constraints 1
1.1.1 Introduction 1
1.1.2 Problem Formulation 2
1.1.3 Lower Bound of Data Rates for Stabilization 4
1.2 Observer-Based Dynamic Feedback Control Under Communication Constraints 12
1.2.1 Introduction 12
1.2.2 Problem Statement and Preliminaries 14
1.2.3 Quantized Feedback Control Under Data-Rate Limitation 15
1.2.4 Numerical Example 19
1.3 A Quantization and Coding Scheme Under Information-rate Limitation 20
1.3.1 Introduction 20
1.3.2 Problem Formulation 21
1.3.3 Lower Bounds of Information Rate for Stabilization 23
1.3.4 Simulations 26
References 28
2 Quantization,Coding,and Control Schemes Under Data Rate Limitations 31
2.1 Quantized State Feedback Control Without Disturbances 31
2.1.1 Introduction 31
2.1.2 Problem Formulation 32
2.1.3 The Bit-Allocation Algorithm 33
2.1.4 Numerical Example 39
2.2 Bit-Allocation Schemes for Systems with Disturbances 40
2.2.1 Introduction 40
2.2.2 Problem Formulation 41
2.2.3 Bit-Allocation Schemes 43
2.2.4 Numerical Example 46
2.3 Dynamic Quantization Schemes for Output Feedback Control 47
2.3.1 Introduction 47
2.3.2 Problem Formulation 49
2.3.3 Output Feedback Control 50
2.3.4 Numerical Example 53
2.4 Feedback Control With Measurement Quantization and Control Signal Quantization 54
2.4.1 Introduction 54
2.4.2 Problem Formulation 56
2.4.3 Control Under Communication Constraints 58
2.4.4 Numerical Example 63
References 64
3 Robust Control of Parameter Uncertain Systems Under Data-Rate Constraints 68
3.1 Quantization and Coding Schemes for Robust Control 68
3.1.1 Introduction 68
3.1.2 Problem Formulation 69
3.1.3 Robust Control Under Date-Rate Constraints 72
3.1.4 Numerical Example 76
3.2 A Time-Varying Recursive Allocation(TVRA)Algorithm for Robust Control 77
3.2.1 Introduction 77
3.2.2 Problem Formulation 80
3.2.3 Time-Varying Recursive Allocation(TVRA)Algorithm 82
3.2.4 Numerical Example 99
References 101
4 Stabilization of Linear Time-Invariant Systems Over Packet Dropout Communication Channels 105
4.1 Quantized State Feedback Control 105
4.1.1 Introduction 105
4.1.2 Problem Formulation 106
4.1.3 Quantization,Coding,and Control Schemes 110
4.1.4 Numerical Example 120
4.2 Quantized Feedback Control For MIMO Systems 123
4.2.1 Introduction 123
4.2.2 Problem Formulation 124
4.2.3 Quantization and Control Schemes 125
4.2.4 Numerical Example 129
References 131
5 Stabilization of Networked Control Systems with Data-Rate Limitations and Time Delays 135
5.1 Stabilization of Systems without Disturbances 135
5.1.1 Introduction 135
5.1.2 Problem Formulation 136
5.1.3 Networked Control with Time Delays 138
5.1.4 Numerical Example 142
5.2 Stabilization of Systems with Disturbances 143
5.2.1 Introduction 143
5.2.2 Problem Formulation 144
5.2.3 Networked Control Under Communication Constraints 145
5.2.4 Numerical Example 149
5.3 Networked Control over Noisy Channel with Time Delays 151
5.3.1 Introduction 151
5.3.2 Problem Formulation 152
5.3.3 Networked Control Under Communication Constraints 153
5.3.4 Numerical Example 157
5.4 Stabilization of MIMO Control Systems 158
5.4.1 Introduction 158
5.4.2 Problem Formulation 160
5.4.3 Networked Control Under Data-Rate Limitations 161
5.4.4 Numerical Example 163
References 166
6 LQG Control of Linear Systems Under Data-Rate Constraints 170
6.1 Quantized State Feedback Control 170
6.1.1 Introduction 170
6.1.2 Problem Formulation 170
6.1.3 LQG Control Under Data-Rate Constraints 173
6.1.4 Numerical Example 176
6.2 LQ Control of Networked Control Systems With Limited Data Rates 178
6.2.1 Introduction 178
6.2.2 Problem Formulation 179
6.2.3 LQ Control Under Data-Rate Constraints 180
6.2.4 Numerical Example 183
6.3 Input and Output Quantized Control of LQG Systems under Information Limitation 185
6.3.1 Introduction 185
6.3.2 Problem Formulation 187
6.3.3 LQG Control Under Date-Rate Constraints 189
6.3.4 Numerical Example 193
References 194